Let A be the following matrix: A = -1 Is A invertible? If A is invertible, compute (A-1)³. Show your work in details.
Let A be the following matrix: A = -1 Is A invertible? If A is invertible, compute (A-1)³. Show your work in details.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 6E
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Step 1: Introduction
VIEWStep 2: Apply various row operations to find the inverse
VIEWStep 3: Row operations to find inverse of matrix A
VIEWStep 4: Find inverse of matrix A
VIEWStep 5: Now find (A^-1)^3
VIEWStep 6: Find (A^-1)^2xA^(-1)
VIEWStep 7: Finally find (A^-1)^3
VIEWStep 8: Formula used in the multiplication of two big matrix
VIEWStep 9: Other part of the formula of matrix multiplication
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