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4. Find an eigenvalue of matrix R corresponding to eigenvector v = ( 6 where - (-2 -4 2Y R =(-2 1 2 4 2 5. A. 1 B. C -5 D. 6

4. Find an eigenvalue of matrix R corresponding to eigenvector v = ( 6 where - (-2 -4 2Y R =(-2 1 2 4 2 5. A. 1 B. C -5 D. 6

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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4. Find an eigenvalue of matrix R corresponding to eigenvector v = 6where 16 - (-2 -4 2) R =-2 1 2 4 2 A. 1 В. 3 C. -5 D. 6 5. The following statement is true related to eigenvalue and eigenvector of a matrix except A. If the eigenvalue of A is à, then the eigenvalue of A' is 2. If the eigenvalue of A is à, then the eigenvalue of 2A is 2. Eigenvalues of a matrix and its transpose are the same. В. C. D. For each eigenvalue, there is only one corresponding eigenvector. 6. Let T: R2»R be a linear transformation such that )and 7(;) = (0) Which of the following statement is true regarding the transformation T? x+y 2x + y \3x – 3y/ A. 2x + y =3x - 3y В. x +y 2х - у. = 3x + 3y x- y C. x- y 2х - у 3x + 3y/ D.
Transcribed Image Text:4. Find an eigenvalue of matrix R corresponding to eigenvector v = 6where 16 - (-2 -4 2) R =-2 1 2 4 2 A. 1 В. 3 C. -5 D. 6 5. The following statement is true related to eigenvalue and eigenvector of a matrix except A. If the eigenvalue of A is à, then the eigenvalue of A' is 2. If the eigenvalue of A is à, then the eigenvalue of 2A is 2. Eigenvalues of a matrix and its transpose are the same. В. C. D. For each eigenvalue, there is only one corresponding eigenvector. 6. Let T: R2»R be a linear transformation such that )and 7(;) = (0) Which of the following statement is true regarding the transformation T? x+y 2x + y \3x – 3y/ A. 2x + y =3x - 3y В. x +y 2х - у. = 3x + 3y x- y C. x- y 2х - у 3x + 3y/ D.
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