SOLUTION: Find the inverse of the matrix -1 6 0 -1

Question 935785: Find the inverse of the matrix
-1 6
0 -1
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Finding the Inverse of a 2x2 Matrix

To find the inverse of the matrix , we can follow these steps:

Step 1) Find the determinant

The determinant of is . So this means that

Step 2) Swap the values

Now switch the highlighted values to get

Step 3) Change the sign

Now change the sign of the highlighted values to get

Step 4) Multiply by the inverse of the determinant

Multiply by to get

Plug in to get

Step 5) Multiply by every element in the matrix (simplify and reduce if possible)

Multiply by EVERY element to get

Multiply to get

Reduce each element:

=================================================================

Answer:

So the inverse of is

This means that if then

RELATED QUESTIONS
Find the inverse of the matrix 2. -1 -4... (answered by Fombitz)

Find the inverse of the matrix 2 -1 -4... (answered by Fombitz)

Find the inverse of the matrix -2 -6 -1... (answered by MathLover1)

Find the inverse of the following matrix: 1 0 1 2 -2 1 3 0... (answered by richwmiller)

Find the inverse matrix of : 1 0 -1 1 1 3 3 -2... (answered by ikleyn,MathLover1)

Find the determinant of the matrix. Determine whether the matrix has an inverse, but... (answered by MathLover1,ikleyn)

find the inverse of matrix. 1. {{{(matrix(2,2,2, -1, 10, 7))}}} 2.... (answered by Edwin McCravy)

Find the inverse of the matrix: 1 1 1 3 5 4 3 6... (answered by solver91311)

Find the inverse of the matrix 1 1 4... (answered by MathLover1)