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

Chaya Galloway 2021-02-25 Answered
Find x such that the matrix is equal to its own inverse.
A=[3x,23]
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Usamah Prosser
Answered 2021-02-26 Author has 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
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions