1. Consider the matrix and and Monde Cole 2022 202) Mesh Colleg 202C) Mona that 1 1 0 101 0 1 1 Mo Monan College 2022 Mon Mon Colle2022 where I is the 3 x 3 identity matrix. (b) Use Equation (1) to calculate A-¹. (c) Use Equation (1) to express A¹ and A as linear combination of I, A, and A².

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
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1. Consider the matrix
and
and
Monder
Cole 2022
2022) Mh Colleg
2027C) Mon
that
1 1 0]
101
Mo
Monan College 202.
Mon
Mona
Colle2022
where I is the 3 x 3 identity matrix.
(b) Use Equation (1) to calculate A-¹.
(c) Use Equation (1) to express A¹ and A as linear combination of I, A, and A².
Transcribed Image Text:1. Consider the matrix and and Monder Cole 2022 2022) Mh Colleg 2027C) Mon that 1 1 0] 101 Mo Monan College 202. Mon Mona Colle2022 where I is the 3 x 3 identity matrix. (b) Use Equation (1) to calculate A-¹. (c) Use Equation (1) to express A¹ and A as linear combination of I, A, and A².
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