IGNOU BA BECC 104 Mathematical Methods for Economics I Solved Assignment ENGLISH

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Title Name	IGNOU BA BECC 104 Mathematical Methods for Economics I Solved Assignment ENGLISH
Type	Soft Copy (E-Assignment) .pdf
University	IGNOU
Degree	BACHELOR DEGREE PROGRAMMES
Course Code	BA
Course Name	Bachelor of Arts (Honours)
Subject Code	BECC 104
Subject Name	Mathematical Methods for Economics I
Year	2026
Session	-
Language	ENGLISH
Assignment Code	BECC 104/Assignment-1/2026
Product Description	Assignment of BA (Bachelor of Arts (Honours)) 2026. Latest BECC 104 2026 Solved Assignment Solutions
Format	Ready-to-Print PDF (.soft copy)

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BECC 104 (July 2025 - January 2026) - ENGLISH

BECC 104: MATHEMATICAL METHODS IN ECONOMICS

Tutor Marked Assignments

Assignment Code: ASST BECC 104/TMA/ July 2025and January 2026

Total Marks: 100

Assignment A

Answer the following Long Category questions in about 500 words each. Each question carries 20 marks. Word limit will not apply in the case of numerical questions.

1. Consider the following two matrices

A =
$$ \begin{pmatrix} -1 & 1 & 2 \\ 1 & -1 & -2 \\ -2 & 2 & 4 \end{pmatrix}$

B =
$$ \begin{pmatrix} 1 & 0 & -1 \\ -1 & 1 & 1 \\ 1 & -1 & -1 \end{pmatrix}$

(i) Find the rank of 'A' and 'B'

(ii) Show that (AB)⁻¹ = B⁻¹ A⁻¹

(iii) Show that (A⁻¹)⁻¹ = A

(iv) Show that (B⁻¹)⁻¹ = B

2. An individual consumer consumes two commodities X₁ & X₂. The utility function is

$$ U = X_{1}^{0.4} X_{2}^{0.6}$

The price of commodity one is P₁ = Rs.3.00, the price of commodity two is P₂ = Rs.4.00, the individual's income per period is Rs.108. Determine the utility maximizing level of X₁ & X₂ and derive the demand curves for the two commodities.

Assignment B

Answer the following Middle Category questions in about 250 words each. Each question carries 10 marks. Word limit will not apply in the case of numerical questions.

3. Let Z = f(x,y) = 3x³-5y²- 225x + 70y + 23.

(i) Find the stationary points of z.

(ii) Determine if at these points the function is at a relative maximum, relative minimum, infixion point, or saddle point.

4. Solve the following differential equation

$$ \frac{d^2y}{dx^2} - 2 \frac{dy}{dx} + 10y = 0,$

given Y(0) = 4

$$ \frac{dy}{dx} (0) = 1$

5. If Z = f(x,y) = xy

Find the maximum value for f(x,y) if x and y are constrained to sum to 1 (That is, x+y = 1). Solve the problem in two ways: by substitution and by using the Lagrangian multiplier method.

Assignment C

Answer the following Short Category questions in about 100 words each.

6. Define

a. Adjuzate of a matrix

b. Decomposable matrix

c. Singular matrix

7. Evaluate

$$ \int (7x-2)\sqrt{3x+2} dx$

8. Explain the concept of maximum value function.

9. Let the production function by $Q = AL^a K^b$ . Find the elasticity of production with respect to labour (L).

10. Denote by a, b and c the column vectors

$$ a = \begin{pmatrix} 1 \\ 2 \\ 3 \end{pmatrix}, b = \begin{pmatrix} -2 \\ 1 \\ -3 \end{pmatrix}, c = \begin{pmatrix} -2 \\ -1 \\ 1 \end{pmatrix}$
Calculate

2a - 5b, 2a - 5b + c, a^t.b,

BECC 104 (July 2025 - January 2026) - HINDI

बी.ई.सी.सी.-104 : अर्थशास्त्र हेतु गणितीय प्रविधियाँ-II

शिक्षक मूल्यांकित सत्रीय कार्य

पाठ्यक्रम कोड : बी.ई.सी.सी.-104

सत्रीय कार्य कोड : एससीइबीईसीसी-104/टी.एम.ए./ 2025 26

कुल अंक : 100

सत्रीय कार्य 'क'

निम्न दीर्घ उत्तरीय प्रश्नों का उत्तर लगभग 500 शब्दों (प्रत्येक) में दीजिए। प्रत्येक प्रश्न 20 अंकों का है। संख्या आधारित प्रश्नों पर शब्द सीमा मान्य नहीं है।

1. इन दो आव्यूहों पर विचार करें

$A = \begin{pmatrix} -1 & 1 & 2 \\ 1 & -1 & -2 \\ -2 & 2 & 4 \end{pmatrix}$ और $B = \begin{pmatrix} 1 & 0 & -1 \\ -1 & 1 & 1 \\ 1 & -1 & -1 \end{pmatrix}$

(i) 'A' तथा 'B' के कोटिक्रम आंकलित करें।

(ii) दर्शाइए कि $(AB)^{-1} = B^{-1} A^{-1}$

(iii) दर्शाइए कि $(A^{-1})^{-1} = A$

(iv) दर्शाइए कि $(B^{-1})^{-1} = B$

2. एक उपभोक्ता दो वस्तुओं X₁ तथा X₂ का उपभोग करता है और उसका उपयोगिता फलन है:

$U = X_{1}^{0.4} X_{2}^{0.6}$

पहली वस्तु की कीमत P₁= ₹ 3.00 तथा दूसरी वस्तु की कीमत P₂= ₹ 4.00 । उपभोक्ता की आय ₹ 108 प्रति समयावधि है। दोनों वस्तुओं के उपयोगिता का अधिकतम करने वाले उपभोग स्तर तथा उनके लिए मांग वक्रों का निर्धारण करें।

सत्रीय कार्य 'ख'

निम्न मध्यम उत्तरीय प्रश्नों का उत्तर लगभग 250 शब्दों में दीजिए। प्रत्येक प्रश्न 10 अंकों का है। शब्द सीमा संख्यात्मक प्रश्नों पर मान्य नहीं है।

3. मान लें कि $Z = f(x,y) = 3x^3 - 5y^2 - 225x + 70y + 23$ .

(i) z के स्थायित्व बिंदु ज्ञात करें

(ii) निर्धारित करें कि इन स्थायित्व बिंदुओं पर फलन एक सापेक्ष अधिकतम, सापेक्ष न्यूनतम, नतिवर्तन या अव.लो.तल संधि प्राप्त कर रहा है।

4. निम्न कलनात्मक फलन को हल करें :

$\frac{d^2 y}{dx^2} - 2 \frac{dy}{dx} + 10 y = 0,$

जहाँ $Y(0) = 4$

$\frac{dy}{dx}(0) = 1$

5. यदि $Z = f(x,y) = xy$

f(x,y) का अधिकतम मान ज्ञात करें यदि x और y, $x + y = 1$ के संरोध का अनुपालन करते हों। इस प्रश्न को दो विधियों से हल करें : प्रतिस्थापन विधि द्वारा तथा लैग्रेज गुणक विधि द्वारा।

सत्रीय कार्य 'ग'

निम्न लघु उत्तरीय प्रश्नों का उत्तर लगभग 100 शब्दों में दीजिए।

6. परिभाषा करें :

क) उपाबंधक

ख) विभाज्य आव्यूह

ग) शून्यक आव्यूह

7. इसका मूल्यांकन करें :
$\int (7x-2) \sqrt{3x+2} dx$

8. अधिकतम मान फलन की व्याख्या करें।

9. एक उत्पादन फलन $Q = AL^a K^b$ है। श्रम (L) के अनुसार उत्पादन की लोच आंकलित करें।

10. a, b और c स्तम्भीय सदिशों को व्यक्त करते हैं :

$a = \begin{pmatrix} 1 \\ 2 \\ 3 \end{pmatrix}$ , $b = \begin{pmatrix} -2 \\ 1 \\ -3 \end{pmatrix}$ , $c = \begin{pmatrix} -2 \\ -1 \\ 1 \end{pmatrix}$

आंकलित करें :

2a - 5b, 2a - 5b + c, $a \cdot b$

BECC 104 2025 - English

BECC 104: MATHEMATICAL METHODS IN ECONOMICS

Tutor Marked Assignments

Course Code: BECC 104

Assignment Code: ASST BECC 104/TMA/July 2024 and January 2025

Total Marks: 100

Part A

Answer the following Long Category questions in about 500 words cach. Each question carries 20 marks. Word limit will not apply in the case of numerical questions.

1. Consider the following two matrices

$A=egin{pmatrix}-1&1&2\1&-1&-2\-2&2&4end{pmatrix}$

$B=egin{pmatrix}1&0&-1\-1&1&1\1&-1&-1end{pmatrix}$

(i) Find the rank of 'A' and 'B'

(ii) Show that (AB)=B^-1A^-1

(iii) Show that (A^-1) ^-1=A

(iv) Show that (B^-1)^-1=B

2. An individual consumer consumes two commodities X₁ & X₂. The utility function is

$U=X_1^{0.4}X_2^{0.6}$

The price of commodity one is P₁= Rs.3.00, the price of commodity two is P₂=Rs.4.00, the individual's income per period is Rs. 108. Determine the utility maximizing level of X₁ & X₂, and derive the demand curves for the two commodities.

Part B

Answer the following Middle Category questions in about 250 words each. Each question carries 10 marks. Word limit will not apply in the case of numerical questions.

3. $ext{Let}Z=f(x,y)=3x^3-5y^2-225x+70y+23.$

(1) Find the stationary points of z.

(ii) Determine if at these points the function is at a relative maximum, relative minimum, infixion point, or saddle point.

4. Solve the following differential equation

$frac{d^2 y}{dx^2}-2frac{dy}{dx}+10y=0,$

given Y(0) = 4

$frac{dy}{dx}(0)=1$

5. $ext{If}Z=f(x,y)=xy$

Find the maximum value for f(x,y) if x and y are constrained to sum to 1 (That is, x+y= 1). Solve the problem in two ways: by substitution and by using the Lagrangian multiplier method.

Part C

Answer the following Short Category questions in about 100 words each

6. Define

a. Adjugate of a matrix

b. Decomposable matrix

с. Singular matrix

7. Evaluate $int(7x-2)sqrt{3x+2},dx$

8. Explain the concept of maximum value function.

9. Let the production function by $Q=AL^a K^b.$ Find the elasticity of production with respect to labour (L).

10. Denote by a, b and e the column vectors

$mathbf{a}=egin{pmatrix}1\2\3end{pmatrix},mathbf{b}=egin{pmatrix}-2\1\-3end{pmatrix},mathbf{c}=egin{pmatrix}-2\-1\1end{pmatrix}$

Calculate

$2mathbf{a}-5mathbf{b},quad 2mathbf{a}-5mathbf{b}+mathbf{c},quadmathbf{a}cdotmathbf{b}$

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Subject: BECC 104 - Mathematical Methods for Economics I
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Product Information

Course Name	Bachelor of Arts (Honours)
Course Code	BA
Subject Code	BECC 104
Subject	Mathematical Methods for Economics I
Programme	BACHELOR DEGREE PROGRAMMES Courses
Language	ENGLISH
Material Type	Solved Assignment – Soft Copy / PDF

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