IfA=[] is an nxn matrix, then the trace Tr A of A is defined to be Tr A-a₁a22. The characteristic polynomial p(A)- A- of a 3x3 matrix A is given by (det A). The remaining coefficient e, can be found by substituting A-1 and then calculating the two determinants (A) and p(1)-(A-1). Use this P(A)-(Tr A²+₁ method to find the characteristic polynomial, eigenvalues, and associated eigenvectors of the following matrix. 75 20-112 A 17 12 -28 48 18-72 The characteristic polynomial is p(A) - (Type an expression using à as the variable.)
IfA=[] is an nxn matrix, then the trace Tr A of A is defined to be Tr A-a₁a22. The characteristic polynomial p(A)- A- of a 3x3 matrix A is given by (det A). The remaining coefficient e, can be found by substituting A-1 and then calculating the two determinants (A) and p(1)-(A-1). Use this P(A)-(Tr A²+₁ method to find the characteristic polynomial, eigenvalues, and associated eigenvectors of the following matrix. 75 20-112 A 17 12 -28 48 18-72 The characteristic polynomial is p(A) - (Type an expression using à as the variable.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 32E
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![IfA=[] is an nxn matrix, then the trace Tr A of A is defined to be Tr A-a₁₁ + a22+ The characteristic polynomial p(3)= |A- of a 3x3 matrix A is given by
P(2)-3(TrA)²+₁+ (det A). The remaining coefficient c, can be found by substituting A-1 and then calculating the two determinants (A and p(1)- (A-1). Use this
method to find the characteristic polynomial, eigenvalues, and associated eigenvectors of the following matrix
75:20-112
A 17 12 -28
48 18-72
The characteristic polynomial is p(x) =
(Type an expression using à as the variable.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4aa6892-93d9-423a-b187-4f65780561a8%2F3817fd3a-caa6-4d42-8eef-2decde282452%2Fxkcaczm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:IfA=[] is an nxn matrix, then the trace Tr A of A is defined to be Tr A-a₁₁ + a22+ The characteristic polynomial p(3)= |A- of a 3x3 matrix A is given by
P(2)-3(TrA)²+₁+ (det A). The remaining coefficient c, can be found by substituting A-1 and then calculating the two determinants (A and p(1)- (A-1). Use this
method to find the characteristic polynomial, eigenvalues, and associated eigenvectors of the following matrix
75:20-112
A 17 12 -28
48 18-72
The characteristic polynomial is p(x) =
(Type an expression using à as the variable.)
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