1. Given the following matrices;

A= 2 1 3 B= 2 2 1 D= 1 3

3 -2 4 ; 2 1 0 ; 2 0 ; c = 5

4 0 5 0 3 -1 -1 1

Evaluate the following operations

a. A+c.B b. c.A^T-B c. AxB^T d. BxD e. c(A+B)D22

2. Compute the inverse of the following systems of linear equations using Gaussian elimination.

1. 2x + y =1

y -z = 2

-2x+ y + z = -2

2. x₁ - 3x₂ = -5

X₂ + 3x₃ = -1

2x₁ - 10x₂+ 2x₃ = -20

3- Compute the inverse of the given matrices:

1-

A=

\f\f\f\f