Use the fact that matrices A and B are row-equivalent. 8 0 -17 5 -2 -5 3 -5 1 1 A = -1 1 -3 7 -33 7 -13 5 1 0 0 1 -2 0 0 1 -5 0 0 0 -3 1 0 1 3 B 0 0 Loo (d) Find a basis for the column space of A. (e) Determine whether or not the rows of A are linearly independent. O independent O dependent (f) Let the columns of A be denoted by a;, az, az, a4, and as. Which of the following sets is (are) linearly independent? (Select all that apply.) O {a, az, ag} O {aj, a2, az} O {aj, a3, as}

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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Use the fact that matrices A and B are row-equivalent.
-2 -5
8 0 -17
1
3
-5 1
=
-1
1
-3 7 -33
7 -13 5
1 0
1
-3
1 0
0 1 -2 0
0 0
1
B =
0 1 -5
0 0 0
(d) Find a basis for the column space of A.
(e) Determine whether or not the rows of A are linearly independent.
O independent
O dependent
(f) Let the columns of A be denoted by a, az, a3, a4, and ag. Which of the following sets is (are) linearly independent? (Select all that apply.)
O {a, az, a4}
O {a1, a2, a3}
{a1, a3, as}
Transcribed Image Text:Use the fact that matrices A and B are row-equivalent. -2 -5 8 0 -17 1 3 -5 1 = -1 1 -3 7 -33 7 -13 5 1 0 1 -3 1 0 0 1 -2 0 0 0 1 B = 0 1 -5 0 0 0 (d) Find a basis for the column space of A. (e) Determine whether or not the rows of A are linearly independent. O independent O dependent (f) Let the columns of A be denoted by a, az, a3, a4, and ag. Which of the following sets is (are) linearly independent? (Select all that apply.) O {a, az, a4} O {a1, a2, a3} {a1, a3, as}
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