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Which statement about inverse matrices is true?
A)an inverse matrix is always a square matrix
B)an inverse matrix is never a square matrix
C)the determinant of an inverse matrix is always zero
D)there always exist a square matrix A^-1 for which AA^-1= i

Respuesta :

I believe it D. Hope I'm right

Answer:  Option 'a'and 'd' are true.

Step-by-step explanation:

Inverse matrices are those matrices for their always exist a square matrix [tex]A^{-1}[/tex] such that [tex]AA^{-1}=I[/tex]

Matrix should have non zero determinant for getting inverse of it.

An inverse matrix should be square matrix.

Inverse of matrix can be calculated by two approaches:

1) Adjoint method

2) Row/Column elementary method

Hence, Option 'a'and 'd' are true.

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