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.
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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give the answer of 5 & 6
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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