Question

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

Answer 1

Answer: (A) CDD

if D=C^-1

then

C D D = (C C^-1) D = I D = D

(where I is the identity matrix)

Answer 2

The following which is equal to matrix D is Option(A) CDD .

What are the properties of inverse of a matrix ?

Let A be a given matrix of any dimension.

• $A.A^{-1} = I$  where I is the identity matrix .
• A.I = A  where I is the identity matrix .

How to find the given matrix D ?

Taking the first Option(A) CDD we have ,

Given that matrix D is the inverse of matrix C,

⇒ $D = C^{-1}$

We have CDD, using the above properties and solving -  

= $CC^{-1}D$

= ID [where I is the identity matrix]

= D  which is the required matrix

Thus the following which is equal to matrix D is Option(A) CDD .

To learn more about matrix, refer -

https://brainly.com/question/16814783

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