Problem 1: Consider the following two square matrices A=[2345], B=[5−32−6] Find A + B and A-2B Find the products AB and BA. Is AB = BA, why or why not? Is A a singular matrix, why or why not? Problem...

Problem 1: Consider the following two square matrices

A=[2345],  B=[5−32−6]

1. Find A + B and A-2B


2. Find the products AB and BA. Is AB = BA, why or why not?


3. Is A a singular matrix, why or why not?

Problem 2:  Find the determinant of A, that is |A|, if
A=⎡⎢⎣230−15−3042⎤⎥⎦



Problem 3:  Find the determinant of
A^T
, that is
|A^T|, using Matrix
A
defined in
problem 2
above

Problem 4:  Find the inverse of a 2 X 2 matrix
B
defined in
problem 1
above