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If A-1 = 2 71 3, what is the matrix A?

Question

If A-1
 = 
2 7
1 3, what is the matrix A?

check_circleAnswer
Step 1

Its given that:

 MathML (base64):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

We need to find the original matrix A.

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Tagged in

Math

Advanced Math

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