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?

Elementary Linear Algebra (MindTap Course List)
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Chapter2: Matrices
Section2.3: The Inverse Of A Matrix
Problem 79E: Let A,D, and P be nn matrices satisfying AP=PD. Assume that P is nonsingular and solve this for A....
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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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