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d) If the eigenvalues of a 3 x 3 matrix A is 1, -2 and 10, then the eigenvalues of A-¹ are 1, -0.5 and 0.1. O True False

d) If the eigenvalues of a 3 x 3 matrix A is 1, -2 and 10, then the eigenvalues of A-¹ are 1, -0.5 and 0.1. O True False

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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Please help me with d , e & f.......

Determine if the following statements or mathematic expressions are Ture or False a) b) c) True False True False 1 1 1 -2λ -2 -2 10 -10 -1 3 -3 20 11 12 3 1X -2 -2λ -2 -2 O True O False −1 1 ܝ ܕ ܝ ܝܕ ܝܪ 10 -10X -1 -10 -3 20X 20 True False [A(B + I)C]T = ATCT + ATBTCT 1 -2A = 0 => || e) If the eigenvalues of a 3 x 3 matrix A is 1, -2 and 10, then the eigenvalues of AT are 1, −0.5 and 0.1. т f) True O False Suppose > 0 and u are a pair of eigenvalue and eigenvector of a 2 x 2 matrix A and v= Au. Then v and u must be in the same direction. True False d) If the eigenvalues of a 3 x 3 matrix A is 1, -2 and 10, then the eigenvalues of A-¹ are 1, -0.5 and 0.1. -1
Transcribed Image Text:Determine if the following statements or mathematic expressions are Ture or False a) b) c) True False True False 1 1 1 -2λ -2 -2 10 -10 -1 3 -3 20 11 12 3 1X -2 -2λ -2 -2 O True O False −1 1 ܝ ܕ ܝ ܝܕ ܝܪ 10 -10X -1 -10 -3 20X 20 True False [A(B + I)C]T = ATCT + ATBTCT 1 -2A = 0 => || e) If the eigenvalues of a 3 x 3 matrix A is 1, -2 and 10, then the eigenvalues of AT are 1, −0.5 and 0.1. т f) True O False Suppose > 0 and u are a pair of eigenvalue and eigenvector of a 2 x 2 matrix A and v= Au. Then v and u must be in the same direction. True False d) If the eigenvalues of a 3 x 3 matrix A is 1, -2 and 10, then the eigenvalues of A-¹ are 1, -0.5 and 0.1. -1
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