IGNOU BSCAEY BEY 18 Linear Algebra and Calculus Solved Assignment English

Looking for the solved assignment for BEY 18Linear Algebra and Calculus? Here you can get the complete solved assignment in PDF format for your IGNOU course.

If you are preparing your assignment and need the answers in one place, this solved PDF can help you save time and understand how the questions can be answered. You can read it on your mobile, save it for later, or take a print if required.

BSCAEY 2025 - English

Before you order: Please check the course code, subject code, year and session with your assignment before purchasing.

BEY 18: Linear Algebra and Calculus

High Demand Verified Solution

★★★★★ 4.7/5 (17 Students)

₹80 ₹30

63% OFF You Save: ₹50

Language

Type

Choose Your Assignment (latest Selected) Check Question Included See Included Question

Title Name	IGNOU BSCAEY BEY 18 Linear Algebra and Calculus Solved Assignment English
Type	Soft Copy (E-Assignment) .pdf
University	IGNOU
Degree	BACHELOR DEGREE PROGRAMMES
Course Code	BSCAEY
Course Name	Bachelor of Science (Applied Science-Energy)
Subject Code	BEY 18
Subject Name	Linear Algebra and Calculus
Year	2025
Session	-
Language	English
Assignment Code	BEY 18/Assignment-1/2025
Product Description	Assignment of BSCAEY (Bachelor of Science (Applied Science-Energy)) 2025. Latest BEY 018 2025 Solved Assignment Solutions
Format	Ready-to-Print PDF (.soft copy)

Need Help With This Assignment?

Looking for the solved assignment for this subject? You can get the complete solved PDF and use it while preparing your assignment.

✓ Complete Solved Assignment — Questions with their answers in one PDF.

✓ Save Your Time — No need to search different websites for every question.

✓ Easy to Read — Keep the PDF on your phone or take a print when required.

✓ Get It Online — Download your assignment after successful payment.

✓ Useful for Preparation — Read the answers and prepare your assignment with less hassle.

Just check once before buying: Make sure the Course Code, Subject Code, Year and Session shown above match your assignment.

📋 Assignment Content Preview

Please make sure your assignment questions match your current IGNOU session

BEY 18 2025 - English

Assignment -4

(To be done after studying the course material)

Course Code: BEY-018

Course Title: Linear Algebra and Calculus

Assignment Code: BEY-018/TMA/2025

Maximum Marks: 100

Last Date of Submission: May 31, 2025 (For June TEE), September 30, 2025 (For December TEE)

Note:

1. All questions are compulsory. Marks for the questions are shown within the brackets on the right side.

Q.1 a) If A, B are symmetric matrices of the same order, then what will be the type of matrix (AB-BA)? Give reasons in support of your answer.

b) If the matrix A is both symmetric and skew-symmetric, then determine A.

c) If A is a square matrix, such that A² =A, then find (I + A)³ - 7A.

d) $ext{If}A=egin{bmatrix}1&0&0\0&1&1\0&-2&4end{bmatrix},quad I=egin{bmatrix}1&0&0\0&1&0\0&0&1end{bmatrix},quad A^{-1}=frac{1}{6}(A^2+aA+bI) ext{Find}:a ext{:and:}b.$

Q.2 a) $vec{a}=hat{i}+hat{j}+hat{k}$ , and $vec{b}=hat{j}-hat{k}$ find vector $vec{c}$ such that $vec{a}:x:vec{c}:=:vec{b}$ and $vec{a}.vec{c}=3$

Show that area of a parallelogram whose diagonals are given by $vec{a}$ and $vec{b}$ is $frac{|vec{a} imesvec{b}|}{2}$ Also find the area of the parallelogram whose diagonals are $2hat{i}-hat{j}+hat{k}$ and $hat{i}-3hat{j}+2hat{k}$

Q.3 a) Find a vector of magnitude 6, which is perpendicular to both the vectors $2hat{j}-hat{j}+2hat{k}$ and $4hat{i}-hat{j}+3hat{k}$

b) Find the angle between the vectors $2hat{i}-hat{j}+hat{k}$ and $3hat{i}+4hat{j}-hat{k}$ .

c) If $vec{a}+vec{b}+vec{c}=0$ , show that $vec{a}$ x $vec{b}$ = $vec{b}$ x $vec{c}$ = $vec{c}$ x $vec{a}$ .

d) If A,B,C,D are the points with position vectors $hat{i}+hat{j}-hat{k},quad 2hat{i}-hat{j}+3hat{k},quad 3hat{i}-2hat{j}+hat{k}$ , respectively. Find the projection of $overrightarrow{AB}$ along $overrightarrow{CD}$ .

e) Using vectors, find the area of the triangle ABC with vertices A(1,2,3), B(2, -1, 4) and C(4,5,-1).

Q.4 a) Prove that

$egin{vmatrix}b+c&a&a\c&c+a&a\b&a&a+bend{vmatrix}=4abc$

b) Prove that

$egin{vmatrix}1&bc&bc(b+c)\1&ca&ca(c+a)\1&ab&ab(a+b)end{vmatrix}$ is independent of a, b, c.

Q.5 a) Show that the conical tent of given capacity will require the least amount of canvas if its height is √2 times its base radius.

b) An open storage bin with square base and vertical sides is to be constructed from a given amount of material. Determine its dimensions if its volume is to be maximum neglecting the thickness of material and waste in constructing it.

c) Find the height of a right cylinder with greatest lateral surface area that may be inscribed in a given sphere of radius R.

d) Given a point on the axis of the parabola y² = 2px at a distance a from the vertex, find the abscissa of the point of the curve closest to it.

e)Can Rolle's theorem be applied to each of the following functions? Find 'c' in case it can be applied.

i. f(x) = sin² x on the interval [0, π].

ii. f (x) = x² + 4 on [-2, 2].

iii. f(x) = sinx + cos x on $left[0,frac{pi}{2} ight]$

iv. f(x) = x³- 2x on [0, 1].

Q.6 a) Explain why Lagrange's mean value theorem is not applicable to the following functions in the respective intervals: f(x) = 13x +11, x∈ [1,3].

b) Verify means values theorem for the function f(x) = 4x³-4x in the interval [a,b], where a=0, and b=3.

c) Find 'c' of Cauchy's mean value theorem for the function f(x) = 2.ln(x) and g(x) = x²-1 in the interval [2,3].

Q.7 Find the first order partial derivatives

a) $z=frac{p^2(r+1)}{t^3}+pr e^{2p+3r+4t}$

b) $g(s,t,v)=t^2ln(s+2t)-ln(3v)(s^3+t^2-4v)$

c) Find $frac{partial z}{partial x}$ and $frac{partial z}{partial y}$ for the function x² sin(y³)+xe^3z-cos(z²)=3y-6z+8

Q.8 a) Find the orthogonal trajectories of the family of circles x² + (y - c)² = c², where c is a parameter.

b) In a certain isolated population p (t) the rate of population growth $frac{dp}{dt}$ is equal to $p-frac{k}{varepsilon}p^2$ , where k and ɛ are both positive constants. If p (0) = 1, then find the limiting population as t→ ∞.

Q.9 a) Use the method of Laplace transforms to find the solution of the initial value problem y" + 9y = 6 cos 3t, y(0) = 2, y'(0) = 0

b) Determine the solution of the undamped (forced vibrations) system mü + Ku = F_o cos wt, u(0) = 0, u(0) = 1 When, w ≠ $sqrt{frac{k}{m}}$

Q.10 a) Reduce the equation

xy" + y' + xy = 0, x > 0

into Bessel's equation and hence write its general solution in terms of Bessel's functions.

b) Prove that

$4J_n''+2J_n(x)=J_{n-2}(x)+J_{n+2}(x)$

❓ Frequently Asked Questions (FAQs)

Q: How will I receive the PDF?
A: Immediately after payment, the download link will appear.

Q: Is this hand-written or typed?
A: This is a professional typed computer PDF. You can use it as a reference for your handwritten submission.

➕Other Details

IGNOU BEY 18 Solved Assignment 2025 – Prepare Smarter, Save Valuable Time

Searching for the 2025 IGNOU BEY 18 Solved Assignment? Get a ready-to-use reference for BEY 18 - Linear Algebra and Calculus and make your assignment preparation simpler, faster and more organised. Our carefully prepared BEY 18 Linear Algebra and Calculus Solved Assignment is designed to help you understand the questions, study the important points and prepare your assignment answers with greater confidence.

Why spend hours searching through different sources when you can have your BEY 18 solved assignment reference available in one convenient resource? Whether you are studying after work, preparing several IGNOU subjects together or simply want a dependable reference, this material can save you valuable preparation time.

BEY 18 2025 Solved Assignment – What You Get

Latest 2025 assignment reference for BEY 18 Linear Algebra and Calculus
Question-wise answers arranged for easy study and reference
Clear and student-friendly presentation for easier understanding
English language version available
Digital soft copy / PDF for convenient access
Useful reference material for preparing your own assignment answers
Helps you identify important points, answer structure and relevant content

Stop Struggling With Every Question. Start Preparing With a Better Reference.

Assignment preparation can become time-consuming when you have multiple subjects, limited study hours and a long list of questions to complete. A good reference can help you move from “What should I write?” to “Now I understand how to prepare this answer.”

The IGNOU BEY 18 Solved Assignment 2025 gives you a convenient study reference so you can review the questions, understand the expected subject matter and organise your own answers more efficiently.

Study less randomly. Prepare more systematically. Keep the reference with you while working on your assignment and use it whenever you need help understanding a question or arranging the important points.

Get Your BEY 18 Linear Algebra and Calculus Solved Assignment 2025

Course: Bachelor of Science (Applied Science-Energy) (BSCAEY)
Subject: BEY 18 - Linear Algebra and Calculus
Session: January 2025 - December 2025
Language: English

Need the Help Book / Solved Assignment?
Call us: 9199852182 / 9852900088
WhatsApp: 9199852182

Your Time Matters – Make Assignment Preparation Easier

If you are balancing IGNOU studies, work, family responsibilities or other subjects, every hour of study matters. Having a structured reference beside you can make it easier to understand the assignment and focus your time on preparing your own submission.

Instead of repeatedly searching for answers across different websites and sources, keep your BEY 18 Linear Algebra and Calculus Solved Assignment 2025 ready for reference whenever you study.

A Useful Reference for Your IGNOU Assignment Preparation

Understand the question → Find the relevant points → Study the answer → Prepare your own assignment with confidence.

IGNOU BSCAEY Assignments 2025

The BSCAEY (Bachelor of Science (Applied Science-Energy)) programme includes assignment work as part of the academic requirements applicable to students. Students should always verify the latest assignment questions, instructions and submission requirements from the official IGNOU website.

Our BEY 18 Solved Assignment is independently prepared reference material intended to assist students with understanding and preparing their answers. It is not an official IGNOU publication.

Why Keep a Solved Assignment Reference?

A useful reference is more than simply a collection of answers. It can help you see how a question can be approached, what important points need attention and how the subject matter can be organised into a clear answer.

Save preparation time with organised reference material
Understand difficult questions more easily
Review important concepts before writing your answers
Improve answer organisation with a structured reference
Study conveniently whenever and wherever you need it

Product Information

Course Name	Bachelor of Science (Applied Science-Energy)
Course Code	BSCAEY
Subject Code	BEY 18
Subject	Linear Algebra and Calculus
Programme	BACHELOR DEGREE PROGRAMMES Courses
Language	English
Material Type	Solved Assignment – Soft Copy / PDF

Ready to Make Your BEY 18 Assignment Preparation Easier?

Get the 2025 BEY 18 Linear Algebra and Calculus Solved Assignment as a convenient reference for your assignment preparation.

Call: 9199852182 / 9852900088
WhatsApp: 9199852182

IGNOU BEY 18 2025 Solved Assignment
Get your reference copy and start preparing with confidence.

Important Note for IGNOU Students

Always check the latest assignment questions and submission instructions on the official IGNOU website before preparing and submitting your assignment. Use this solved assignment as a study and reference resource and prepare your own submission according to the applicable IGNOU requirements.

Why Choose IGNOU Academy for Your Assignments?

Getting your assignments right is an important part of your IGNOU academic journey.IGNOU Academy provides carefully prepared reference materials designed to makeassignment preparation simpler, clearer and more convenient for students.

Latest Curriculum: Materials are prepared with the current IGNOU syllabus and assignment requirements in mind.
Proper Assignment Format: Understand the structure, presentation and answer style generally expected in an IGNOU assignment.
Simple Explanations: Difficult topics are explained in clear and easy-to-understand language.
Exam Preparation: Assignment material can also be useful for revising important concepts before the Term-End Examination.
Student-Friendly Language: Clear English/Hindi content helps students understand topics without unnecessary complexity.
Trusted by IGNOU Learners: Students across India use IGNOU Academy as a convenient source of assignment and study-reference material.

These materials are provided as reference study guides. Students should understandthe concepts, follow IGNOU guidelines and prepare their own original assignmentswhere required.

How to Get Your Solved Assignment PDF

Visit IGNOU Academy:Go to www.ignouacademy.com.
Find Your Course:Search for your programme, course code and subject.
Select the Session:Choose the latest available reference material for your academic session.
Complete Your Order:Add the required material to your cart, log in or register, and complete the payment.
Access Your Material:After successful payment, access your purchased study material from your account.

Step-by-Step: Finding IGNOU Assignment Question Papers

Open the Website:Visit www.ignouacademy.com.
Open Assignment Question Papers:Select the relevant IGNOU assignment question paper section.
Filter Your Requirement:Select your course, session and medium such as English or Hindi.
Open the Paper:View or download the required question paper for your preparation.

How to Submit Your IGNOU Assignments

Prepare Neatly:Use the format and submission instructions applicable to your programme and study centre.
Complete the Front Page:Enter your Name, Enrollment Number, Programme/Course Code, Subject and Study Centre details correctly.
Offline Submission:If your study centre requires physical submission, submit the assignment as instructed and retain the acknowledgement.
Online Submission:Where online submission is permitted, follow the instructions issued by your Regional Centre or Study Centre. Keep proof of submission for your records.

Tracking Your Assignment Submission Status

After submitting your assignments, students can check whether their assignmentmarks and submission details have been updated through the applicable official IGNOU system.

Open the Official IGNOU Student Area:Visit the official IGNOU website and access the relevant student services.
Find Assignment Status:Open the assignment-status service applicable to your programme.
Enter Your Details:Provide your Enrollment Number and other requested programme details.
Check the Status:Review the available submission, evaluation and marks information.

A Quick Tip for IGNOU Students

Assignments are an important part of the IGNOU evaluation process. Preparing themcarefully, understanding the questions, following the prescribed format and submittingthem within the applicable deadline can help you stay on track academically.

Smart Study + Proper Preparation + Timely Submission = Better Academic Planning

Need Help? Contact IGNOU Academy WhatsApp: +91 9199852182 | Website: www.ignouacademy.com

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers