Find x such that the matrix is equal to its own inverse. A = left[3 x , -2 -3right]

Chaya Galloway

Chaya Galloway

Answered question

2021-02-25

Find x such that the matrix is equal to its own inverse.
A=[3x,23]

Answer & Explanation

Usamah Prosser

Usamah Prosser

Skilled2021-02-26Added 86 answers

When you multiply this matrix by itself, the first element is 9-2x that has to be equal to 1.
92x=1
2x=8
x=4
So the answer x=4 then the matrix is its own inverse!
[[3,x],[2,3]2=[[92x,3x3x],[6+6],[2x+9]]]
when x=4 then
[1001]
Result: x=4

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