Www.tesd.net
Goal: Determine whether a matrix has an inverse. Solve systems using inverse matrices.
Thinking Skill: Gather and organize information and data.
Quick Review of Matrix Multiplication:
Multiply the following matrices.
a. [pic]=
b. [pic]
c. [pic]
d. [pic]
Think back to the beginning of the year…
What is the multiplicative inverse of:
a.) 3 b.) -7 c.)[pic]
When you multiply a number by its inverse, the result is always: _________
Finding the Multiplicative Inverse of a Matrix:
• Only possible with square matrices
• If A and B are inverse matrices then:
AB = I and BA = I, where I = Identity Matrix I = [pic]
• Inverse of matrix A is denoted by [pic]
Formula for Inverse
[pic] What does [pic] mean?
a.) A = [pic]
b.) B = [pic]
c.) C = [pic]
Solving Systems Using Inverse Matrices
a.) [pic]
Step 1: Rewrite as a MATRIX EQUATION:
Step 2: Solve for X:
b.) [pic]
c) [pic]
d) [pic]
Challenge Problem: Solve the following system using matrix equations:
[pic]
-----------------------
Date _________ Period_________
U3 D9: Matrix Inverses and Solving Systems
Step 1: Check the dimensions. Is it possible to multiply?
Step 2: Multiply Row x Column
Coefficient Unknown Constant
Matrix Matrix Matrix
A • X = B
A matrix with a determinant of
________________________
does not have an inverse!
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- solving systems of equations using matrices with the ti 83
- solving systems of linear equations using matrices
- matrix algebra for beginners part i matrices
- solving square ax b inverse matrix linear algebra
- 5 6 using the inverse matrix to solve equations
- 2 5 inverse matrices mit mathematics
- lecture 8 solving systems of linear equations with
- solving linear systems continued and the inverse of a matrix
- 4 5 solving systems using inverse matrices
- chapter 5 systems of equations and matrices
Related searches
- personal financial management marine net pdf
- company net worth lookup
- comenity net dental first financing
- marine net financial management pdf
- amazon net sales 2017
- average net profit small business
- amazon net profit 2018
- marine net personal finance answers
- hong kong net scheme
- https www municipalonlinepayments
- business net worth lookup
- free net worth search