August 13 Practice Quiz in class and Secret Code Worksheet for Homework August 14 Matrix Applications - Change the first triangle to (0, 0), (0, 6) and (4, 0) Also mastery Quiz on systems of 3 X 3 matrices HW: Alternate Text Pg. 567: 1 - 5, 17, 19, 23 and 558: 53, 59, 63, 64, 70, 75, 76, 77 August 15 Quiz HW: Gauss Jordan You can check these with a calculator! August 16 One of the Gauss-Jordan Problems we worked in class is found below. Your assignment for the night is from the Auxiliary text: Pg. 506: 15-27 odd August 17 Foerster Text: Read pages 666 - 668 and work, starting on page 669: Q1 - Q10, 1 - 17 odd Also do the exploratory exercises 1 - 11 on page 671 August 20 Transformation Matrices Review Problems from Auxiliary Text: (Work as needed.) Pg. 482: 57, 59, 61, 63, 78, 82 - 90 Pg. 491: 17 - 20, 37, 73 Pg. 506: 33, 37, 45, 53, 65, 69, 71, 81, 87, 91, 102, 118, 125, 127 Pg. 523: 55, 59, 85 Pg. 539: 79, 101 Pg. 548: 61, 71 August 21 Review!!
Objectives for the Matrix Test
Understand matrix notation, i.e. determinant, augmented matrices, specific elements.
Add, subtract, scale multiply and multiply matrices of any sizes with and without a calculator.
Find determinants of any square matrix, both with and without a calculator.
Write linear equations and inequalities and solve linear systems of equations/inequalities, especially in real world situations.
Set up and solve systems of 2 equations and 2 unknowns and 3 equations and 3 unknowns both with and without a calculator, using several methods.
Solve any system of equations with the help of a calculator.
If a system has infinitely many solutions, be able to write the general solution and at least 3 specific ones.
Understand the geometry of solving a system of 3 equations and 3 unknowns and be able to graph and/or draw figures to represent those solutions.
Find and understand the importance of additive inverses and identities and multiplicative inverses and identities.
Find the multiplicative inverse of a 2 X 2 matrix both with and without a calculator.
Set up and solve matrix equations, easy and hard.
Understand and state reasons why matrix operations fail.
Set up and interpret matrix representations of real world situations.
Understand the concepts of encoding matrices, finding area using matrices, writing equations of lines, Cramer’s Rule and representing transformations with matrices.