Given 1 A = 3 4 2 2 3 1 6 6 55 8 14 16 6 (a) Compute the reduced row echelon form R of A; (b) Which column vectors of R correspond to the free variables? Write each of these vectors as a linea combination of the column vectors corresponding to the pivot variables.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given
A =
[12
3 6
48
2
6
14
3
5
16
6
(a) Compute the reduced row echelon form R of A;
(b) Which column vectors of R correspond to the free variables? Write each of these vectors as a linear
combination of the column vectors corresponding to the pivot variables.
Transcribed Image Text:Given A = [12 3 6 48 2 6 14 3 5 16 6 (a) Compute the reduced row echelon form R of A; (b) Which column vectors of R correspond to the free variables? Write each of these vectors as a linear combination of the column vectors corresponding to the pivot variables.
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