Note:  which is known as the (2 x 2) ______________ matrix
Multiplying a matrix by the identify matrix is like multiplying a number by ____.
It does not change it at all!
So,  and  . What is the 3x3 Identity Matrix?
Example #1: Solve the system  by using the inverse of the coefficient matrix.
Check:
Example #2: Solve the system  by using the inverse of the coefficient matrix.
Check:
Example #3: Solve the system  by using the inverse of the coefficient matrix.
Closure: Fill in the blanks to complete the steps for solving a system using matrices.
Step 1: First I need to write the equations in ______________________.
Matrix A is a __ x __ matrix made up of the variables.
Matrix B is a __ x __ matrix made up of the constants.
Step 2: Find the _________________ of matrix _____.
The first step to find this is to first find the _______________.
The next step is to multiply by __________.
The 3rd step is to make the __________.
The final step is to actually multiply.
Step 3: You now need to multiply _____ by _____. Horrrrrrray!
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