Do the matrices have inverses? justify your answer.
a. −2 6
−3 9
b. −2 6
3 9

a. No

b. Yes

Step-by-step explanation:

as we know the inverse of the matrix is A⁻¹ = (adjA)/det(A)

If the determinant of the matrix is 0 then the inverse of that matrix does not exists.

For first matrix the determinant is

|A| =

Hence the inverse of this matrix does not exists.

|B| =

Since the determinant of the matrix in the second option is non-zero .Hence it's inverse exists.

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step-by-step explanation:

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