Question

Suppose matrix B is the inverse of matrix A. Use your knowledge of inverses and matrix multiplication to answer the following: AB

Answer 1

AB will be an Identity matrix.

What is an identity matrix?

• A square matrix with 1s on the main diagonal and 0s everywhere else is an identity matrix.
• The identity matrices 22 and 33, for example, are presented below.
• These are known as identity matrices because they produce the identity matrix when multiplied by a compatible matrix.
• If the answer to a matrix multiplication problem is an identity matrix, then each of the two matrices is an inverse matrix of the other.
• When the matrix is multiplied by the original matrix, the result is the identity matrix.

As it is given in the description itself, if the answer to a matrix multiplication problem is an identity matrix, then each of the two matrices is an inverse matrix of the other.

Therefore, AB will be an Identity matrix.

Know more about the identity matrix here:

brainly.com/question/2361951

#SPJ4