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2 3 0 0 1 -1 0. Evaluate M-¹ (using elementary row operations). Evaluate M². The matrix M is given by M = (1) (11) '0 2 Use Matrix M to show that M² + 6M-¹ = 71 where I is the 3 x 3 identity matrix and 0 is the zero matrix of the same order.

2 3 0 0 1 -1 0. Evaluate M-¹ (using elementary row operations). Evaluate M². The matrix M is given by M = (1) (11) '0 2 Use Matrix M to show that M² + 6M-¹ = 71 where I is the 3 x 3 identity matrix and 0 is the zero matrix of the same order.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 9E
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'0 (a) The matrix M is given by M = 2 1 -1 0, Evaluate M-¹ (using elementary row operations). Evaluate M². (11) (111) 2 3 0 0 (iv) (v) Use Matrix M to show that M² + 6M-1 = 71 where I is the 3 x 3 identity matrix and 0 is the zero matrix of the same order. Use the result in (11) to show that M³ = 7M - 61. Find M³ (b) Find all the values of such that matrix B is a singular matrix. (1 λ λ2) 1 1 3 9 B = 1 \1
Transcribed Image Text:'0 (a) The matrix M is given by M = 2 1 -1 0, Evaluate M-¹ (using elementary row operations). Evaluate M². (11) (111) 2 3 0 0 (iv) (v) Use Matrix M to show that M² + 6M-1 = 71 where I is the 3 x 3 identity matrix and 0 is the zero matrix of the same order. Use the result in (11) to show that M³ = 7M - 61. Find M³ (b) Find all the values of such that matrix B is a singular matrix. (1 λ λ2) 1 1 3 9 B = 1 \1
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