26 Suppose A is a 3 x n matrix whose columns span 3 Explain

26. Suppose A is a 3 x n matrix whose columns span ?³. Explain how to construct an n x 3 matrix D such that AD = I₃.

Solution

A is of order 3xn,

D is of order nx3

so product will be of order 3x3 which is same as order of I3.

Product is Identity matrix means each matrix is inverse of each other. That simply means you have to find Inverse of given matrix A.

You can use any method to find inverse of A that will give D.