Question

prove that scalar product of null matrix is invariant

Answer 1

Answer:

Prove that scalar product of null matrix is invariant

Step-by-step explanation :

First we come to know about invariant. Invariant means the solution or answer or an equation does it varies or changes it's state.

Consider ,

          Matrix of A is 2x2 matrix , A = [  1  2 ]

                                                               3 4

When we product the A matrix with null matrix , Where the value of null matrix is zero .Then the product of A matrix and a Null matrix is zero.

                    i.e  matrix of A x [0] = 0

Further for proving as invariant we product null matrix with A matrix to get the value as zero,

                   i.e [0] x A matrix = 0

So we have proved that this matrix does not change its state. So the scalar product of matrix is invariant .Hence , proved.