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If C and D are matrices and C is the inverse of D, which of the following is true?

If C and D are matrices and C is the inverse of D, which of the following is true-example-1
If C and D are matrices and C is the inverse of D, which of the following is true-example-1
If C and D are matrices and C is the inverse of D, which of the following is true-example-2
If C and D are matrices and C is the inverse of D, which of the following is true-example-3
If C and D are matrices and C is the inverse of D, which of the following is true-example-4

2 Answers

4 votes

Answer:

4) CD =DC = 1 is true .

Explanation:

Given : If C and D are matrices and C is the inverse of D.

To find : which of the following is true.

Solution : We have given that C and D are matrices and C is the inverse of D.

By the inverse matrix rule :
A^{}A^(-1)  = [tex]A^(-1) A^{}= 1[/tex].

Where
A^(-1) is inverse of A matrix .

Then CD =DC = 1

Therefore, 4) CD =DC = 1 is true .

User Ewalshe
by
8.2k points
6 votes
Answer: Fourth option CD=DC=I 
User Grautur
by
8.3k points

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