For each of the following matrices A, determine its reduced echelon form and give the general solution of Ax O in standard form.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 77E
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linear algebra question, only subquestion a, c, e

3. For each of the following matrices A, determine its reduced echelon form and give the
general solution of Ax = 0 in standard form.
1
1
*е. А —
2
-2
1
*а. А -
-2
3 -1
-4
3 -1
3 -3
2
0 -1 –1
2
-2
4
-1
f. A =
1
-3
1
2
3
*b. A =
-1
1
-2
3
1
1
3 -3
6
2 -3 7
3
1
2
-1
1
-1
1
1
1
3
1
1
2
1
1
с. А
*g. A =
||
4
3
2
2
-1
1
6.
1
-1
0 -1
1
1
1
1
1
1
5
1
d. A =
1
1
1
1
3 -2
h. A =
3
4
-1
3
4
1 -6
1
2
3
0 4
4
12 -1 -7
4-
Transcribed Image Text:3. For each of the following matrices A, determine its reduced echelon form and give the general solution of Ax = 0 in standard form. 1 1 *е. А — 2 -2 1 *а. А - -2 3 -1 -4 3 -1 3 -3 2 0 -1 –1 2 -2 4 -1 f. A = 1 -3 1 2 3 *b. A = -1 1 -2 3 1 1 3 -3 6 2 -3 7 3 1 2 -1 1 -1 1 1 1 3 1 1 2 1 1 с. А *g. A = || 4 3 2 2 -1 1 6. 1 -1 0 -1 1 1 1 1 1 1 5 1 d. A = 1 1 1 1 3 -2 h. A = 3 4 -1 3 4 1 -6 1 2 3 0 4 4 12 -1 -7 4-
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