# Linear Algebra Examples

Subtract from both sides of the equation.

Simplify the left side of the equation.

Subtract the corresponding elements of from each element of .

Simplify each element of the matrix .

Simplify .

Simplify .

Simplify .

Simplify .

Simplify the right side of the equation.

Subtract the corresponding elements of from each element of .

Simplify each element of the matrix .

Simplify .

Simplify .

Simplify .

Simplify .

Adding the null matrix to any matrix is a matrix itself.

is in the most simplified form.