Question

Select the correct answer.
Which statement about inverse matrices is true?
O A.
An inverse matrix is always a square matrix.
O B.
An inverse matrix a is never a square matrix.
The determinant of an inverse matrix is always zero.
O D.
There always exists a square matrix A-1 for which AA-1 = /.
Reset
Next

Answer 1

Answer:

A:An inverse matrix is always a square matrix.

Step-by-step explanation:

Hopefully this helps!

Answer 2

Options A and D are true for the inverse matrices.

We need to determine which statement about inverse matrices is true.

What is an inverse matrix?

The inverse of the matrix is another matrix, which on multiplication with the given matrix gives the multiplicative identity. For a matrix A, its inverse is $A^{-1}$, and  $A.A^{-1}=I$ A = I, where I is the identity matrix. The matrix whose determinant is non-zero and for which the inverse matrix can be calculated is called an invertible matrix.

The matrix should have a non-zero determinant for getting the inverse of it.

An inverse matrix should be a square matrix.

The inverse of the matrix can be calculated by two approaches:

1) Adjoint method

2) Row/Column elementary method

Therefore, options A and D are true for the inverse matrices.

To learn more about the inverse matrices visit:

https://brainly.com/question/15118736.

#SPJ2