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5. The following statement is true related to eigenvalue and eigenvector of a matrix except A If the eigenvalue of A is 2, then the eigenvalue of A' is 2. B. If the eigenvalue of A is X, then the eigenvalue of 2A is 2. Eigenvalues of a matrix and its transpose are the same. D. For each eigenvalue, there is only one corresponding eigenvector. C. 6. Let T: R→R be a linear transformation such that 7() - ( )and T(;) = () Which of the following statement is true regarding the transformation T? x+y =( 2x + y \3x-3y/ A. 2x + y = ( 3x – 3y B. x+ y (). 2x-y =( 3x + 3y C. x-y X-y 2х - у 3x + 3y/ D.

5. The following statement is true related to eigenvalue and eigenvector of a matrix except A If the eigenvalue of A is 2, then the eigenvalue of A' is 2. B. If the eigenvalue of A is X, then the eigenvalue of 2A is 2. Eigenvalues of a matrix and its transpose are the same. D. For each eigenvalue, there is only one corresponding eigenvector. C. 6. Let T: R→R be a linear transformation such that 7() - ( )and T(;) = () Which of the following statement is true regarding the transformation T? x+y =( 2x + y \3x-3y/ A. 2x + y = ( 3x – 3y B. x+ y (). 2x-y =( 3x + 3y C. x-y X-y 2х - у 3x + 3y/ D.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 41EQ
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give the answer of 5 & 6

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 = 3jx - 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 = 3jx - 3y В. x +y 2х - у. = 3x + 3y x- y C. x- y 2х - у 3x + 3y/ D.
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