Tobias Ali

2020-11-03

Find x such that the matrix is equal to its inverse.

$A=\left[\begin{array}{cc}7& x\\ -8& -7\end{array}\right]$

Luvottoq

Skilled2020-11-04Added 95 answers

Step 1

Given matrix,

And,

Formula for an inverse of a matrix is

Step 2 Now,

And,

so,

Step 3

Now , as given

on comparing the matrices,

x=6

Step 4

Therefore,

The value of x such that the matrix is equal to its own inverse is

x=6

Jeffrey Jordon

Expert2022-01-29Added 2605 answers

Answer is given below (on video)

Eliza Beth13

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Mr Solver

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madeleinejames20

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