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2) 3) 4) 5) [13] -3 [₁ 1) - 6) [ -3 1 0 - -3 -2 2 1 0 -2 - -3 Ingrese su respuesta en orden ascendente, ingrese O para las casillas sobrantes 2) 3) 4)

2) 3) 4) 5) [13] -3 [₁ 1) - 6) [ -3 1 0 - -3 -2 2 1 0 -2 - -3 Ingrese su respuesta en orden ascendente, ingrese O para las casillas sobrantes 2) 3) 4)

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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indicate which options contain matrices that have at least one eigenvector:

Enter your answer in ascending order, enter 0 for excess boxes.

2) 3) 4) 5) 6) -1 -2 1 -3 -2 1 0 1 -3 0 -3 -2 -3 -1 2 -3 -3 -2 -3 2-1 Ingrese su respuesta en orden ascendente, ingrese O para las casillas sobrantes 1) 2) 3) 4)
Transcribed Image Text:2) 3) 4) 5) 6) -1 -2 1 -3 -2 1 0 1 -3 0 -3 -2 -3 -1 2 -3 -3 -2 -3 2-1 Ingrese su respuesta en orden ascendente, ingrese O para las casillas sobrantes 1) 2) 3) 4)
Expert Solution
Step 1

Every square matrix has at least one eigen vector. Because every square matrix has at least one eigen value and corresponding to eigen value there is at least one eigen vector .

Let A be the square matrix then the eigen value is obtained as

  1. Determine the characteristic  polynomial using |A-xI|=0
  2. The roots of the equation will be the eigen value of the matrix.
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