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Lesson Plan #038
Class: PreCalculus
Topic: Inverse of a square matrix
Date: Friday December 14th, 2012
Aim: How can we find the inverse of a square matrix?
Objectives: Students will be able to find the inverse of a square matrix.
HW# 38: Page 900 #’s 2, 6, 16, 20, 58
Do Now:
1) Find A * B Given that
Procedure:
Write the Aim and Do Now
Get students working!
Take attendance
Give back work
Go over the HW
Collect HW
Go over the Do Now
How would you classify the result of A * B?
Assignment #1: Show that B is the inverse of A.
Assignment #2: Show that B is the inverse of A.
Assignment #3: In the 2 x 2 matrix at left, a 2 x 2 identity matrix is augmented at right. Use Gaussian elimination to put the 2 x 2
matrix at left in reduced row echelon form.
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Assignment #4: Multiply the original 2 x 2 matrix on the left from assignment #3 by the 2 x 2 final augmented matrix on the
right from assignment #3:
What do you notice about the product?
How can you find the inverse of a square matrix?
Assignment #5: Find the inverse of the square matrix below
Assignment #6: Find the inverse of the square matrix below.
Assignment #7: For the system of equations
find in the inverse of the coefficient matrix
Assignment #8: Multiply the inverse of the coefficient matrix from assignment #7 by
Assignment #9: Determine if the result from Assigment #8 is a solution to the system of equations from Assignment #7?
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Assignment #10: Use the inverse coefficient matrix to solve the system of equations below:
Assignment #11: Use the inverse coefficient matrix to solve the system of equations below: