Find the inverse of the matrix

A = |-1 0 0 0|

|0 -1 3 0|

|0 0 2 0|

|-3 3 -3 2|

Thanks!

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- February 17th 2010, 05:36 PMgralla55Inverse matrix
Find the inverse of the matrix

A = |-1 0 0 0|

|0 -1 3 0|

|0 0 2 0|

|-3 3 -3 2|

Thanks! - February 17th 2010, 06:21 PMpickslides
- February 17th 2010, 07:14 PMjbpellerin
also

if you take the matrix A and use a sequence of row operations to reduce it to I

then those same operations applied to I will give you A inverse

since you're basically doing (P1)(P2)...(Pn)A = I

which implies (P1)(P2)...(Pn) = A^-1

an easy way to do this is to take [A|I] and reduce the left part to I

what remains on the right will be A inverse

example:

1 1

0 1

you take

1 1 1 0

0 1 0 1

then your row operations to reduce the left part into I is simply R1-R2

==>

1 0 1 -1

0 1 0 1

so the inverse is

1 -1

0 1

now you can do it for the larger matrix - February 18th 2010, 07:36 AMgralla55
"Online Matrix Calculator"

Thank you for that! Now, I'm on an old computer, so the instructions doesn't show up. But if I did it right, the inverse of the matrix should be:

-1 0 0 0

0 -1 3/2 0

0 0 1/2 0

-3/2 3/2 -3/2 1/2

Is this right? - February 18th 2010, 10:40 AMRoam