Matrix Quiz 12.3-12.5 Information

The quiz will be given in two pieces.  First you will take the calculator portion (only a couple of questions) and then the no graphing calculator portion (however you can use a scientific calculator if you bring one in).  Topics are:

bullet Add, subtract, scalar multiply, and multiply matrices (if possible) without the use of your graphing calculator. 
bullet Organize data using matrices.  Perform operations with matrices that have real life meaning and interpret results---such as #65 from §12.5, also 12.5 Worksheet
bullet Given two equivalent matrices, solve for unknowns. (last three on 12.5 wksht)
bullet Use your calculator to solve a system using inverse matrix method (enter A inverse B).  Convert your solution to fractions to avoid estimating solution.
bullet Find the inverse of a 3x3 matrix (provided it is nonsingular) using your graphing calculator.
bullet Find the inverse of a 2x2 matrix by hand using row operations. 
bullet Find the inverse of a 2x2 matrix by hand using the 2x2 inverse shortcut:   (from 12.4 lesson, in 12.5 problems set)
bullet Evaluate a determinant (2x2 and 3x3) with and without your graphing calculator.
bullet Solve for an unknown when given the value of a determinant.  (12.4 HW #45)
bullet Solve a system (2x2 and 3x3) using Cramer’s rule provided it is applicable ( i.e. D is nonzero).
bullet Give general proofs.  Such as #61 in 12.4 HW
bullet From 12.2:  Solve a 3x3 variable system by hand using elimination or substitution.

Practice Problems:  Redo problems from notes and homework.  Also pages 893-894 # 19-29 odd, 33, 41 & 43 using calculator and A inverse B, 45-53 odd, 55 but find determinants on the calculator, 101 set up and solve using calculator.  Page 859 # 65.  Select other odds from sections 12.4 and 12.5.