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7. The characteristic equation for square matrix A is the equation det (A-AI)=0. The scalars that satisfy this equation are called eigenvalues of matrix A. (You will encounter this in 2nd year.) Let A = values of A. 3 -2 1 2 -4 3 16-4 Obtain the characteristic equation for A. Hence find the eigen- (Ans: A3 13A+12=0; x=-4, 1, 3)

7. The characteristic equation for square matrix A is the equation det (A-AI)=0. The scalars that satisfy this equation are called eigenvalues of matrix A. (You will encounter this in 2nd year.) Let A = values of A. 3 -2 1 2 -4 3 16-4 Obtain the characteristic equation for A. Hence find the eigen- (Ans: A3 13A+12=0; x=-4, 1, 3)

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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7. The characteristic equation for square matrix A is the equation det (A - I) = 0. The scalars that satisfy this equation are called eigenvalues of matrix A. (You will encounter this in 2nd year.) 3 -21 Let A = 2 -4 3 16 values of A. -4 1 Obtain the characteristic equation for A. Hence find the eigen- (Ans: A3 13A + 12 = 0; A = -4, 1, 3)
Transcribed Image Text:7. The characteristic equation for square matrix A is the equation det (A - I) = 0. The scalars that satisfy this equation are called eigenvalues of matrix A. (You will encounter this in 2nd year.) 3 -21 Let A = 2 -4 3 16 values of A. -4 1 Obtain the characteristic equation for A. Hence find the eigen- (Ans: A3 13A + 12 = 0; A = -4, 1, 3)
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