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?

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Chapter1: Functions And Models
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Find the inverse of matrix A where: Provide justification why this process works?
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.
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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