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Problem #1: Let A = 9 0 1 2 -11 -2 0 0 -3 (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.

Problem #1: Let A = 9 0 1 2 -11 -2 0 0 -3 (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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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Problem #1: Let Problem #1(a): Problem #1(b): Problem #1(c): 9 A = 0 1 Problem #1(d): 2 -2 0 (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. Select v -11 0 -3 (A) {(1,0,1)} (B) {(-2,0,1)} (C) {(-5,0,1)} (D) {(-3,0,1)} (E){(-4,0,1)} (F) {(0,0,1)} (G) {(-1,0,1)} (H) {(2,0,1)) Select Enter your answer as a symbolic function of x, as in these examples Separate your answers with a comma. Use x in place of A. (A) {(15,0,1)} (B) {(12,0,1)} (C) {(16,0,1)} (D) {(13,0,1)} (E) {(14,0,1)} (F) {(11,0,1)} (G) {(10,0,1)} (H) {(9,0,1))
Transcribed Image Text:Problem #1: Let Problem #1(a): Problem #1(b): Problem #1(c): 9 A = 0 1 Problem #1(d): 2 -2 0 (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. Select v -11 0 -3 (A) {(1,0,1)} (B) {(-2,0,1)} (C) {(-5,0,1)} (D) {(-3,0,1)} (E){(-4,0,1)} (F) {(0,0,1)} (G) {(-1,0,1)} (H) {(2,0,1)) Select Enter your answer as a symbolic function of x, as in these examples Separate your answers with a comma. Use x in place of A. (A) {(15,0,1)} (B) {(12,0,1)} (C) {(16,0,1)} (D) {(13,0,1)} (E) {(14,0,1)} (F) {(11,0,1)} (G) {(10,0,1)} (H) {(9,0,1))
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