Find the eigenvalues of A, and find a basis for each eigenspace. 1) A= | -4 -4 4 -4] 1+ 1- 4i AV-4 + 4i, ;-4-4i, B) -4 + 4i, -4-4i, 1- 1 + C) -4 + 4i, ;-4-4i, D) -4 + 4i,. ;-4- 4i,
Find the eigenvalues of A, and find a basis for each eigenspace. 1) A= | -4 -4 4 -4] 1+ 1- 4i AV-4 + 4i, ;-4-4i, B) -4 + 4i, -4-4i, 1- 1 + C) -4 + 4i, ;-4-4i, D) -4 + 4i,. ;-4- 4i,
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Find the eigenvalues of A, and find a basis for each eigenspace.
1) A =
4 -4
(AD-4+4i,.
-4 - 4i,
B) -4 + 4i, ,
-4 – 4i, .
C) -4 + 4i,
-4-4i,.
D) -4 + 4i,
;-4 -
4i,
Compute the determinant of the matrix.
[2 2 -2 5-4
2 1 0
2) 0 0 -2 3 7
0 0
0 0 0 0 2]
3
0-1-5
A) 0
B) -24
D) -12
Solve the problem.
-3
and maps v =
into
3) Let T: R -> R be a linear transformation that maps u =
into
-6
Use the fact that T is linear to find the image of 3u + v.
A)
-3
D)
-6
24
12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e517d95-0165-4b88-9aae-7baf355dc378%2Fdf8b8f12-beae-493b-a2c4-cf0e13bcc390%2F42ra2ds_processed.png&w=3840&q=75)
Transcribed Image Text:Find the eigenvalues of A, and find a basis for each eigenspace.
1) A =
4 -4
(AD-4+4i,.
-4 - 4i,
B) -4 + 4i, ,
-4 – 4i, .
C) -4 + 4i,
-4-4i,.
D) -4 + 4i,
;-4 -
4i,
Compute the determinant of the matrix.
[2 2 -2 5-4
2 1 0
2) 0 0 -2 3 7
0 0
0 0 0 0 2]
3
0-1-5
A) 0
B) -24
D) -12
Solve the problem.
-3
and maps v =
into
3) Let T: R -> R be a linear transformation that maps u =
into
-6
Use the fact that T is linear to find the image of 3u + v.
A)
-3
D)
-6
24
12
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