Eigen value and Eigen vector

A bag contains 8 blue balls and 5 black balls. 2 successive draws of 3 balls are made without replacement. Find the probability that the first drawing will give 3 black balls and the second 3 blue balls.

Rank of matrix

How will you solve Harrod-Domar formulation of steady growth through differential
equations?

 Rank of matrix

Write a linear first-order differential equation and work out its general solution.

Write a linear first-order differential equation and work out its general solution