(d) Compute reduced row echelon form of WT, that is, rref(WT). (e) Using rref(WT), determine a set of r linearly independent rows of W. (f) Form a matrix C whose columns are r linearly independent columns of W.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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after a,b,c part i already posted  now solve d ,e ,f part

Problem 2: Skeleton Decomposition
Given W =
1 2 3 4
5
24 6 8
10
3 6 9 12 15
0 1 0 1 0
1
1 1 1 1
(a) Compute reduced row echelon form of W, that is, rref(W).
(b) Determine the rank r of W by using rref(W).
(c) Using rref(W), determine a set of r linearly independent columns.
(d) Compute reduced row echelon form of WT, that is, rref(WT).
(e) Using rref(WT), determine a set of r linearly independent rows of W.
(f) Form a matrix C whose columns are r linearly independent columns of W.
Transcribed Image Text:Problem 2: Skeleton Decomposition Given W = 1 2 3 4 5 24 6 8 10 3 6 9 12 15 0 1 0 1 0 1 1 1 1 1 (a) Compute reduced row echelon form of W, that is, rref(W). (b) Determine the rank r of W by using rref(W). (c) Using rref(W), determine a set of r linearly independent columns. (d) Compute reduced row echelon form of WT, that is, rref(WT). (e) Using rref(WT), determine a set of r linearly independent rows of W. (f) Form a matrix C whose columns are r linearly independent columns of W.
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