Question 1 Find the inverse of each of the following matrices when it exists: (a) 0 −1 - 0 0 2 1 1 0 0 (b) 1 0 1 0 -1 -2 1 0 (c) 2 4 6 7 11 6 -6 -6 12

Calculate the inverse of the following matrix:

Perform the following operation: 1- a -5 4 3] a 1+a -3 1 4 -a - 188 ) Note: The entries in the resulting matrix are functions of a.

following Simplify matrices using the given operation: the а. -8 2 a) A= (2 4 1). 4 b. -6 4 5 (4 -8 4) с. d. (o )

Simplify the following matrix expression: 5 [ 2 - 2| 8 -3 2 -3 5 [ -3 7. -1 -1.

Solve the matrices below with the following condition

–1 -2 Put the following matrix into RREF: 1 1 2 -1

Compute the inverse of the matrix: -3 3 -1 4 5 -3 4 4

Calculate the inverse of the matrix A = 1 3 2 360 266

Which of the following matrix multiplications would be possible to do? Select one: a. a 5x6 matrix with a 6 x 3 matrix b. a 2 x 2 matrix with a 3 x3 matrix С. a 5x3 matrix with a 3 x 3 matrix d. a 4x3 matrix with a 3 x 3 matrix