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3 votes
If A2 = I, where I is the identity matrix, which matrix correctly represents matrix A?

If A2 = I, where I is the identity matrix, which matrix correctly represents matrix-example-1

2 Answers

1 vote

Answer:

C. [3, -2]

[4, -3]

Explanation:

PLATOOOO

User Essan Parto
by
8.0k points
2 votes

We know that
\boldsymbol{A^2}=\boldsymbol{A* A}

We also know that
image

Now, it has been given to us that
\boldsymbol{A^2}=\boldsymbol{I}

Therefore, we will have to find the correct
\boldsymbol{A} from the given options and we find that when:


image

then
image

Therefore, from the above given options, Option C is the correct option.

Therefore,
image is the correct answer.

User Sabhari Karthik
by
8.2k points

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