Express the inverse of the following matrix (assuming it exists) as a matrix containing expressions in terms of k. [-25 -25 -25]^-1 [0 0 0]
[ k 0 3] = [0 0 0]
[-5 -5 -3] [0 0 0]

the Inverse of the matrix is; A⁻¹

Step-by-step explanation:

Given the data in the question;

Matrix A =

To find the Inverse of matrix A

A⁻¹ = Adj.A / det.A

so

Determinant of the matrix A will be

|A| = -25( 0 + 15) + 25( -3K + 15 ) - 13( -15K + 0 )

= -375 - 75K + 375 + 65K

= -10K

Now, the adjoin of matrix A will be

Adj.A =

The Inverse of the matrix is;

A⁻¹ = Adj.A / det.A

Therefore the Inverse of the matrix is; A⁻¹

step-by-step explanation: