SOLUTION: hello. I would like help on finding the inverse of a 3x3 matrix. my textbook does not explain how to find it. thank you Kyle

Question 63037: hello. I would like help on finding the inverse of a 3x3 matrix. my textbook does not explain how to find it.
thank you
Kyle
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
This is one way to do it.
1st: Write down your 3 x 3 matrix which I will call "A".
2nd: Draw a vertical line to the right of the 3rd column.
3rd: Write the 3 x 3 identity matrix to the right of the line
The 1st row of the identity should be to the right of the 1st row of "A".
The 2nd row of the identity should be to the right of the 2nd row of "A"
same for the 3rd row.
4th: Using the Jordan elimination process convert A to the identity matrix
following this rule: "Whatever you do to a row of A do that to the corresponding row to the right"
5th: As "A" becomes the identity matrix, the identity matrix on the right
becomes the inverse of "A".
----------
Comment: There are other ways to generate A inverse involving determinants,
minors, and co-factors. I will not go into that process.
Also, if you have a scienfic calculator it may have instructions in its manual
which show you how to find the inverse of a matrix.
----------
Cheers,
Stan H.

RELATED QUESTIONS
PLEASE HELP ME!!!! I need help because i am confused i am not getting this please... (answered by stanbon)

how do you find the inverse of a 3x3... (answered by drk)

Hello, my name is Alec. This homework problem has been stumping me. I am given this... (answered by rothauserc)

find the least integral upper bound of the zeros of the function {{{f(x)=x^3-x^2+1}}}... (answered by richard1234)

Dear Tutors!!! i can`t solve it by myself, i will wait for you help, please help me to... (answered by ewatrrr)

Find the inverse(if it exists) 1 0 1 1 1 -3 0 1 -3 i don't know how to solve... (answered by solver91311)

Dear tutors, i don`t understand how to find the matrix inverse, please if you can help to (answered by ewatrrr)