Determine if the columns of the matrix A= set 1 0 3 5 -5 -3 -7 2 -9 4 3 1 -4 2 7 10 6 -1 form a linearly independent The columnns of A are linearly independent because the number of columns is more than the number of rows The columns of A are linearly dependent because the number of columns is more than the number of rows The columns of A are linearly independent because the number of rows is more than the number of columns The columns of A are linearly dependent because the number of rows is more than the number of columns

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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Determine if the columns of the matrix A =
set
0
3
5
-5
1
6
-1
-3-7
2
-9 4
3
1 -4 2
7 10 -1
form a linearly independent
The columns of A are linearly independent because the number of columns is more than the number of rows
The columns of A are linearly dependent because the number of columns is more than the number of rows
The columns of A are linearly independent because the number of rows is more than the number of columns
The columns of A are linearly dependent because the number of rows is more than the number of columns
Transcribed Image Text:Determine if the columns of the matrix A = set 0 3 5 -5 1 6 -1 -3-7 2 -9 4 3 1 -4 2 7 10 -1 form a linearly independent The columns of A are linearly independent because the number of columns is more than the number of rows The columns of A are linearly dependent because the number of columns is more than the number of rows The columns of A are linearly independent because the number of rows is more than the number of columns The columns of A are linearly dependent because the number of rows is more than the number of columns
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