Question

Suppose matrix D is the inverse of matrix C. Which of the following is equal to D? CDD CCD DDD CCC

Answer 1

Thank you for asking this question. Here is your answer:

The correct answer for this question is the first option which is CDD

Because if the D would be equal to C⁻¹ then CDD would be equal to (CC⁻¹) D

and it will be equal to ID = D

And in this situation I is the identity matrix.

If there is any confusion please leave a comment below.

Answer 2

Given: It is Given that Matrix D is the inverse of Matrix C.

→$C^{-1}=D$

Multiplying both sides on the left by C,we get

$CC^{-1}=CD$

$I=CD$  As As ,→ Matrix × Inverse of that Matrix = I ,where I is identity matrix.

Multiplying both sides on the Right by matrix D, we get

$I D =C D D$

As→ Identity × Matrix D = D

So, D= C D D