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-9 -3 -15 0 -7 0 -6 Let A = where c is an unknown scalar. 0 7 2 13 0 4 0 3 (a) Without using software, show that p₁(A) = (\—c)(\+3)(A+1)(\−2) is the characteristic polynomial of A. (b) Determine the values of c for which the matrix A is not diagonalizable. Use of software is allowed on this part.

-9 -3 -15 0 -7 0 -6 Let A = where c is an unknown scalar. 0 7 2 13 0 4 0 3 (a) Without using software, show that p₁(A) = (\—c)(\+3)(A+1)(\−2) is the characteristic polynomial of A. (b) Determine the values of c for which the matrix A is not diagonalizable. Use of software is allowed on this part.

Advanced Engineering Mathematics
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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C -3 -15 0 -7 0 -6 5. Let A = where c is an unknown scalar. C " 0 7 2 13 0 4 0 3 (a) Without using software, show that pÃ(\) = (\—c)(\+3)(\+1)(\−2) is the characteristic A polynomial of A. (b) Determine the values of c for which the matrix A is not diagonalizable. Use of software is allowed on this part.
Transcribed Image Text:C -3 -15 0 -7 0 -6 5. Let A = where c is an unknown scalar. C " 0 7 2 13 0 4 0 3 (a) Without using software, show that pÃ(\) = (\—c)(\+3)(\+1)(\−2) is the characteristic A polynomial of A. (b) Determine the values of c for which the matrix A is not diagonalizable. Use of software is allowed on this part.
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