Let 4 = ²₁ 4 =1²2₂2₂] 2. a. Give the characteristic equation of A and verify that A satisfies the characteristic equation. b. Confirm that (A − 31)(A − 1) = O, where I is the 2x2 identity matrix and O is the 2x2 zero matrix. How does this relate to part a?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
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Let 4 = [1 2]
a. Give the characteristic equation of A and verify that A satisfies the characteristic
equation.
b. Confirm that (A − 31)(A − 1) = O, where I is the 2x2 identity matrix and O is the
2x2 zero matrix. How does this relate to part a?
Transcribed Image Text:Let 4 = [1 2] a. Give the characteristic equation of A and verify that A satisfies the characteristic equation. b. Confirm that (A − 31)(A − 1) = O, where I is the 2x2 identity matrix and O is the 2x2 zero matrix. How does this relate to part a?
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