Pc 8.3 notes
14
1 March 09, 2012 8.3 The Inverse of a Square Matrix Objective: Find and use the inverse matrix to solve systems of linear equations. Standard: Linear Algebra 9.0
-
Upload
jonathan-fjelstrom -
Category
Education
-
view
391 -
download
3
description
Finding the inverse of a matrix.
Transcript of Pc 8.3 notes
1
March 09, 2012
8.3 The Inverse of a Square Matrix
Objective: Find and use the inverse matrix to solve systems of linear equations.
Standard: Linear Algebra 9.0
2
March 09, 2012
What's a MULTIPLICATIVE INVERSE??
3
March 09, 2012
To be an inverse matrix:
4
March 09, 2012
Ex. 1﴿ Show that B is the Inverse of A.
5
March 09, 2012
Do all matrices have an inverse?
Singular:
Nonsingular ﴾aka: ________﴿
6
March 09, 2012
Ex. 2﴿ Find the inverse of A if it exists.
A=
7
March 09, 2012
The "Shortcut" for a 2x2 matrixIf… and…
ad – bc ≠ 0
then…
8
March 09, 2012
Ex. 2 Revisited﴿ Find the inverse of A if it exists.
Ex. 3﴿ Find the inverse of A if it exists.
A=
9
March 09, 2012
10
March 09, 2012
Inverse of a 3x3 Matrix
11
March 09, 2012
Using Inverses for Systems of Equations
The coefficient matrix…
`
12
March 09, 2012
Ex. 4﴿ Solve the systems using matrices.
13
March 09, 2012
Ex. 5﴿ Solve the system using matrices.
14
March 09, 2012
Assignment:
8.3 p. 608 #4, 5, 11, 15, 17, 25, 27, 46, 49
