Linear Algebra Examples

Solve Using an Inverse Matrix x=1 , y=1
,
Step 1
Find the from the system of equations.

Step 2
The matrix must be a square matrix to find the inverse.
Inverse matrix cannot be found
Step 3
Left multiply both sides of the matrix equation by the inverse matrix.

Step 4
Any matrix multiplied by its inverse is equal to all the time. .
matrix cannot be
Step 5
Simplify the right side of the equation.
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Multiply by each element of the matrix.

Simplify each element in the matrix.
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Rearrange .

Rearrange .
Step 6
Simplify the left and right side.
Step 7
Find the solution.