Can each vector in R4 be written as a linear combination of the columns of the matrix A? Do the columns of A span RA A= 2 4 -7 8 -2-2 20 0-6 16 0 2-5 5 -4 *** Can each vector in R4 be written as a linear combination of the columns of the matrix A? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 69E: Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of...
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Can each vector in R4 be written as a linear combination of the columns of the matrix A? Do the columns of A span R4?
A =
2 4-7 8
-2-2 20
AN
-4 0-6 16
0 2-55
....
Can each vector in R4 be written as a linear combination of the columns of the matrix A? Select the correct choice below
and fill in the answer box to complete your choice.
(Type an integer or decimal for each matrix element.)
Transcribed Image Text:Can each vector in R4 be written as a linear combination of the columns of the matrix A? Do the columns of A span R4? A = 2 4-7 8 -2-2 20 AN -4 0-6 16 0 2-55 .... Can each vector in R4 be written as a linear combination of the columns of the matrix A? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.)
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