Let B be a 2 x 2 matrix and a a number such that 7B² - 5B+al = 0. ind values of a such that B is invertible. When B is invertible, find the eigenvalues f B-¹. Justify your answer.
Let B be a 2 x 2 matrix and a a number such that 7B² - 5B+al = 0. ind values of a such that B is invertible. When B is invertible, find the eigenvalues f B-¹. Justify your answer.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 34E
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![Let B be a 2 x 2 matrix and a a number such that
7B2-5B+al = 0.
Find values of a such that B is invertible. When B is invertible, find the eigenvalues
of B-¹. Justify your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4fb02365-efda-4f71-9185-5332218a7cc4%2F72f0a2d4-f983-48ed-b873-11c0137f43df%2Fq1fcy3j_processed.png&w=3840&q=75)
Transcribed Image Text:Let B be a 2 x 2 matrix and a a number such that
7B2-5B+al = 0.
Find values of a such that B is invertible. When B is invertible, find the eigenvalues
of B-¹. Justify your answer.
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