I performed Guassian Elimination on the matrix A (below on the left) to get the following RRE Form [i -2 0 0 4 3] 0 0 10 2 0 0 0 0 1 -3 5 0 0 0 0 0 Lo 0 0 0 0 o] 4 -8 13 1 39 17] 1 -2 3 0 10 3 Gaussian Elimination 2 -4 10 1 25 11 |-2 4 3 4 -14 14 1 -2 5 0 14 3 (a) What is the dimension of Col(A)? (b) What is a basis for the Row(A)? (c) Write the 4th column of matrix A as a linear combination of some of the other columns in A.

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Chapter3: Determinants
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Problem 29CM
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I performed Guassian Elimination on the matrix A (below on the left) to get the following RRE Form
[1 -2 0 0 4 3]
0 0 10 2
01 -3 5
0 0
0 0 0 0 0 o]
-8 13 1
39
17]
-2 3 0
10
3
Gaussian Elimination
2
-4 10 1 25
11
|-2
3 4 -14 14
1 -2 5 0
14
3
(a) What is the dimension of Col(A)?
(b) What is a basis for the Row(A)?
(c) Write the 4th column of matrix A as a linear combination of some of the other columns in A.
Transcribed Image Text:I performed Guassian Elimination on the matrix A (below on the left) to get the following RRE Form [1 -2 0 0 4 3] 0 0 10 2 01 -3 5 0 0 0 0 0 0 0 o] -8 13 1 39 17] -2 3 0 10 3 Gaussian Elimination 2 -4 10 1 25 11 |-2 3 4 -14 14 1 -2 5 0 14 3 (a) What is the dimension of Col(A)? (b) What is a basis for the Row(A)? (c) Write the 4th column of matrix A as a linear combination of some of the other columns in A.
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