will suffice, you need not use the math editor. Question 5 Let A be a 6 x 6 matrix with characteristic polynomial det(AI A) X(X+ 3)(X-2). Which of the following statements are True? Select ALL that apply. The eigenvalued =-3 has geometric multiplicity equal to 1. The eigenvalue A = 2 has algebraic multiplicity equal to 3. If the eigenvalue A = 2 has geometric multiplicity equal to 3, then A is diagonalizable. The matrix A is invertible.
will suffice, you need not use the math editor. Question 5 Let A be a 6 x 6 matrix with characteristic polynomial det(AI A) X(X+ 3)(X-2). Which of the following statements are True? Select ALL that apply. The eigenvalued =-3 has geometric multiplicity equal to 1. The eigenvalue A = 2 has algebraic multiplicity equal to 3. If the eigenvalue A = 2 has geometric multiplicity equal to 3, then A is diagonalizable. The matrix A is invertible.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 5
Let A be a 6 x 6 matrix with characteristic polynomial det((XI-A) X(+3)(X-2)°.
Which of the following statements are True? Select ALL that apply.
O The eigenvalued
-3 has geometric multiplicity equal to 1.
The eigenvalue ) = 2 has algebraic multiplicity equal to 3.
O If the eigenvalue A = 2 has geometric multiplicity equal to 3, then A is diagonalizable.
The matrix A is invertible.
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