e. Determine whether the rows of A are linearly independent. f. Let the columns of A be denoted by a₁, a2, a3, a4, and a5. Determine whether each set is linearly independent. i. {a₁, a2, a4} ii. {a₁, a2, a3} (

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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use the fact that matrices A  and B are row-equivalent.

42. A =
-2 -5
1
3
11 -19 7
1 7-13 5
8 0 -17
3 -5 1
5
-3
B
-
[1 0
0 1 -2 0 3
0
0
01-5
0 0 0
10
0
1 0
Transcribed Image Text:42. A = -2 -5 1 3 11 -19 7 1 7-13 5 8 0 -17 3 -5 1 5 -3 B - [1 0 0 1 -2 0 3 0 0 01-5 0 0 0 10 0 1 0
e. Determine whether the rows of A are linearly independent.
f. Let the columns of A be denoted by a₁, a2, a3, a4, and a5. Determine whether each set is linearly
independent.
i. {a₁, a2, a4}
ii. {a₁, a2, a3}
iii. {a₁, a3, a5}
Transcribed Image Text:e. Determine whether the rows of A are linearly independent. f. Let the columns of A be denoted by a₁, a2, a3, a4, and a5. Determine whether each set is linearly independent. i. {a₁, a2, a4} ii. {a₁, a2, a3} iii. {a₁, a3, a5}
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