# Linear Algebra Examples

, ,

Step 1

Write the system of equations in matrix form.

Step 2

Step 2.1

Perform the row operation to make the entry at a .

Step 2.1.1

Perform the row operation to make the entry at a .

Step 2.1.2

Simplify .

Step 2.2

Perform the row operation to make the entry at a .

Step 2.2.1

Perform the row operation to make the entry at a .

Step 2.2.2

Simplify .

Step 2.3

Perform the row operation to make the entry at a .

Step 2.3.1

Perform the row operation to make the entry at a .

Step 2.3.2

Simplify .

Step 2.4

Multiply each element of by to make the entry at a .

Step 2.4.1

Multiply each element of by to make the entry at a .

Step 2.4.2

Simplify .

Step 2.5

Perform the row operation to make the entry at a .

Step 2.5.1

Perform the row operation to make the entry at a .

Step 2.5.2

Simplify .

Step 2.6

Perform the row operation to make the entry at a .

Step 2.6.1

Perform the row operation to make the entry at a .

Step 2.6.2

Simplify .

Step 2.7

Perform the row operation to make the entry at a .

Step 2.7.1

Perform the row operation to make the entry at a .

Step 2.7.2

Simplify .

Step 3

Since is undefined when , then makes the system have no solution.