In this quick Exploration, you are asked to find the inverse of matrix A where: Exploration 2.4.1: The Inverse of a Matrix 100 010 0. 1 A = 1 3 the 4. -3 8 Of course, this should be done by hand. How might you check your answer?
In this quick Exploration, you are asked to find the inverse of matrix A where: Exploration 2.4.1: The Inverse of a Matrix 100 010 0. 1 A = 1 3 the 4. -3 8 Of course, this should be done by hand. How might you check your answer?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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Find the inverse of matrix A where:
Provide justification why this process works?
Transcribed Image Text:In this quick Exploration, you are asked to find the inverse of matrix A where:
Exploration 2.4.1: The Inverse of a Matrix
1
A =
3
010
ind the
4
-3 8
Of course, this should be done by hand. How might you check your answer?
Challenge: Based on this example, can you provide some general informal justifica-
tion for why this process works?
NOTE:
If it is not possible to obtain the identity matrix on the left side of the augmented
matrix by using matrix row operations, then A1 does not exist.
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