Problem #1: Let Problem #1(a): Problem #1(b): 11 0 1 Problem #1(c): Select -4 0 (a) Find the characteristic polynomial of 4. (b) Find the two eigenvalues of A. (c) Find a basis for the eigenspace corresponding to the smallest eigenvalue. (d) Find a basis for the eigenspace corresponding to the largest eigenvalue. 16 0 Problem #1(d): Select Enter your answer as a symbolic function of x, as in these examples Separate your answers with a comma. (A) {(-4,0,1)} (B) {(-3,0,1)} (C) {(-1,0,1)} (D) {(-2,0,1)} (E) {(1,0,1)} (F) {(-6,0,1)} (G) {(-5,0,1)} (H) {(0,0,1)) Use x in place of A. (A) {(5,0,1)} (B) {(7,0,1)} (C) {(3,0,1)} (D) {(9,0,1)} (E) {(2,0,1)} (F) {(4,0,1)} (G) {(8,0,1)} (H) {(6,0,1))

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 77E
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Problem #1: Let
Problem #1(a):
Problem #1(b):
A = 0
4
-4
0
Problem #1(c): Select
16
(a) Find the characteristic polynomial of A.
(b) Find the two eigenvalues of A.
(c) Find a basis for the eigenspace corresponding to the smallest eigenvalue.
(d) Find a basis for the eigenspace corresponding to the largest eigenvalue.
-2
Problem #1(d): Select V
Enter your answer as a symbolic
function of x, as in these
examples
Separate your answers with a comma
(A) {(-4,0,1)} (B) {(-3,0,1)} (C) {(-1,0,1)} (D) {(-2,0,1)} (E) {(1,0,1)} (F) {(-6,0,1)} (G) {(-5,0,1)}
(H) {(0,0,1))
Use x in place of X.
(A) {(5,0.1)} (B) {(7,0,1)} (C) {(3,0,1)} (D) {(9,0,1)} (E) {(2,0,1)} (F) {(4,0,1)} (G) {(8,0,1)}
(H) {(6,0,1))
Transcribed Image Text:Problem #1: Let Problem #1(a): Problem #1(b): A = 0 4 -4 0 Problem #1(c): Select 16 (a) Find the characteristic polynomial of A. (b) Find the two eigenvalues of A. (c) Find a basis for the eigenspace corresponding to the smallest eigenvalue. (d) Find a basis for the eigenspace corresponding to the largest eigenvalue. -2 Problem #1(d): Select V Enter your answer as a symbolic function of x, as in these examples Separate your answers with a comma (A) {(-4,0,1)} (B) {(-3,0,1)} (C) {(-1,0,1)} (D) {(-2,0,1)} (E) {(1,0,1)} (F) {(-6,0,1)} (G) {(-5,0,1)} (H) {(0,0,1)) Use x in place of X. (A) {(5,0.1)} (B) {(7,0,1)} (C) {(3,0,1)} (D) {(9,0,1)} (E) {(2,0,1)} (F) {(4,0,1)} (G) {(8,0,1)} (H) {(6,0,1))
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