Find a basis for the column space of the matrix. Let A = 1 3779 7 2 -11 -9 0 1 and B = 1 -3 -7 -2 01 0 1 0 1 3 005 -3 -5 0000 0

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
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Question 30
Find a basis for the column space of the matrix.
Let A = 1
C
123
3
007
1979
3
3276
2159
0
5
0
3
-7
-9 -5 1
It can be shown that matrix A is row equivalent to matrix B. Find a basis for Col A.
3
1
and B =
1
0
0
0
-3
1
0
0
-7
0
5
0
0
1
3
-3 -5
0 0
Transcribed Image Text:Question 30 Find a basis for the column space of the matrix. Let A = 1 C 123 3 007 1979 3 3276 2159 0 5 0 3 -7 -9 -5 1 It can be shown that matrix A is row equivalent to matrix B. Find a basis for Col A. 3 1 and B = 1 0 0 0 -3 1 0 0 -7 0 5 0 0 1 3 -3 -5 0 0
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