Let A be the matrix given below. Find an example of each the following: 2 4 6. 2 -2] 2 4 9 -7 7 A = 2 5 9. 8 -2 -4 |-1 -2 -3 -6 8 -8 |-1 -2 -2 -4 1 -5 a) a nonzero vector in im(A) (that is not a column of A): 0 b) a nonzero vector not in im(A) (with the ame size as the vectors in im(A)): 0 c) a nonzero vector in null(A): 0 0.

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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Let A be the matrix given below. Find an example of each the following:
6.
6.
4
2 -2
9 -7 7
9.
6 8 -8
2
4
A = 2
5
8 -2 -4
-1 -2 -3
-1 -2 -2 -4 1 -5
a) a nonzero vector in im(A) (that is not a column of A): 0
b) a nonzero vector not in im(A) (with the same size as the vectors in im(A)): 0
c) a nonzero vector in null(A): 0
Transcribed Image Text:Let A be the matrix given below. Find an example of each the following: 6. 6. 4 2 -2 9 -7 7 9. 6 8 -8 2 4 A = 2 5 8 -2 -4 -1 -2 -3 -1 -2 -2 -4 1 -5 a) a nonzero vector in im(A) (that is not a column of A): 0 b) a nonzero vector not in im(A) (with the same size as the vectors in im(A)): 0 c) a nonzero vector in null(A): 0
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