# Linear Algebra Examples

Find the Determinant of the Resulting Matrix
Step 1
Subtract the corresponding elements.
Step 2
Simplify each element of the matrix .
Simplify .
Simplify .
Simplify .
Simplify .
Step 3
Find the determinant of .
These are both valid notations for the determinant of a matrix.
The determinant of a matrix can be found using the formula .
Simplify the determinant.
Simplify each term.
Multiply by .
Multiply by .