Use the fact that matrices A and B are row-equivalent. 1 2 1 5 1 2 A = 3 1 7 2 2 -2 11 25 8 -1 8 1 0 30 -4 0 1 -1 0 2 B = 0 1 -2 00

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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1.1

Pls answer all of it and fill in the boxes. please arrange the answers

(d) Find a basis for the column space of A.
(e) Determine whether or not the rows of A are linearly independent.
O independent
dependent
(f) Let the columns of A be denoted by a,,
and as. Which of the following sets is (are) linearly independent? (Select all that apply.)
O {a,, az a4}
1'
O {az, az, az)
{a,, az, ag}
Transcribed Image Text:(d) Find a basis for the column space of A. (e) Determine whether or not the rows of A are linearly independent. O independent dependent (f) Let the columns of A be denoted by a,, and as. Which of the following sets is (are) linearly independent? (Select all that apply.) O {a,, az a4} 1' O {az, az, az) {a,, az, ag}
Use the fact that matrices A and B are row-equivalent.
1
2 1
2
5 1
1
A =
3
7 2
2 -2
11 25 8 -1
1 0
30 -4
0 1 -1 0
2
B
0 1 -2
00
Transcribed Image Text:Use the fact that matrices A and B are row-equivalent. 1 2 1 2 5 1 1 A = 3 7 2 2 -2 11 25 8 -1 1 0 30 -4 0 1 -1 0 2 B 0 1 -2 00
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