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3. Consider the matrices A = |-1 2 2| and B= -1 1 1 -1 -1 (a) Find AT. (b) Compute A². (c) Calculate A² + A™ BA.

3. Consider the matrices A = |-1 2 2| and B= -1 1 1 -1 -1 (a) Find AT. (b) Compute A². (c) Calculate A² + A™ BA.

Algebra & Trigonometry with Analytic Geometry
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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1 2 3 1 1 1 3. Consider the matrices A -1 2 2 and B : 1 1 1 -1 (a) Find A". (b) Compute A². (c) Calculate A² + A™ BA.
Transcribed Image Text:1 2 3 1 1 1 3. Consider the matrices A -1 2 2 and B : 1 1 1 -1 (a) Find A". (b) Compute A². (c) Calculate A² + A™ BA.
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