(a) State which of the following matrices are in row-reduced form: 1 0 4 -1 1 -1 0 - - ( ) --- () --( H A 0 1 2 B 0 1 2-2 C 0 01 00 1 0 001 0 For each matrix that is not in row-reduced form, explain why not a determine its row-reduced form. (b) (i) Solve the following system of linear equations by reducing its augmented matrix to row-reduced form: 2x + y = 1
(a) State which of the following matrices are in row-reduced form: 1 0 4 -1 1 -1 0 - - ( ) --- () --( H A 0 1 2 B 0 1 2-2 C 0 01 00 1 0 001 0 For each matrix that is not in row-reduced form, explain why not a determine its row-reduced form. (b) (i) Solve the following system of linear equations by reducing its augmented matrix to row-reduced form: 2x + y = 1
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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Transcribed Image Text:(a) State which of the following matrices are in row-reduced form:
1 0 4
1 -1
- - ( ) - ( ¦¦ 2 - - - (-0
00 0 1
20
A =
01
B 0 1 2
C=
7
1 -1
1
0-1 0
001 3
00
For each matrix that is not in row-reduced form, explain why not and
determine its row-reduced form.
(b) (i) Solve the following system of linear equations by reducing its
augmented matrix to row-reduced form:
2x + y
x - y 3z
-x + 2y + 5z
1
2
-3.
(ii) Check your answer to part (b)(i) by substituting your solution into
the original equations.
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