Let W be the set of all vectors of the form [3s 4r5t] 2r + 2s - t 3s - r + 5t 3r+2s + 4t with r, s and t real. Find a matrix A such that W = im(A). A = Let A = A basis for the image of A is -9 -6 9 3 8 -6 -8 -14 -11 4 11 15 Find a basis for the image of A (or, equivalently, for the linear transformation T(x) = Ax).

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 W be the set of all vectors of the form
[3s 4r5t]
2r + 2s - t
3s - r + 5t
3r+2s + 4t
with r, s and t real. Find a matrix A such that W = im(A).
A =
Transcribed Image Text:Let W be the set of all vectors of the form [3s 4r5t] 2r + 2s - t 3s - r + 5t 3r+2s + 4t with r, s and t real. Find a matrix A such that W = im(A). A =
Let
A =
A basis for the image of A is
-9
-6
9
3
8
-6
-8
-14
-11
4
11
15
Find a basis for the image of A (or, equivalently, for the linear transformation T(x) = Ax).
Transcribed Image Text:Let A = A basis for the image of A is -9 -6 9 3 8 -6 -8 -14 -11 4 11 15 Find a basis for the image of A (or, equivalently, for the linear transformation T(x) = Ax).
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