Question

In order for a matrix b to be the inverse of a, both equations ab=i and ba=i must be true?

1) True
2) False

Answer 1

It is true that a matrix B must satisfy both AB = I and BA = I to be considered the inverse of matrix A.

Step-by-step explanation:

In order for a matrix B to be the inverse of matrix A, it is indeed true that both equations AB = I and BA = I must hold, where I represents the identity matrix of appropriate size. This condition is necessary to ensure that B can both pre-multiply and post-multiply A to yield the identity matrix, which is the defining property of an inverse matrix.