Given A = -6 5 2 2 a. The number of vectors in B is -3 -2 -27 10 2 Z 0 1 1 00 0 let a1, a2 and ä3 be the columns of A, let B = {a1, a2, ã3} and let H = span(B). A

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 69E: Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of...
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Given
A =
E
let a₁, a2 and a3 be the columns of A, let B = {a1, a2, ã3} and let H = span(B).
6
a. The number of vectors in Bis
2
5
-3 2
2 -2 1
b. The number of vectors in H is
d. Is B a basis for R³? choose
c. The dimension of the subspace His
-21
e. A basis for the subspace H is {
01/
-
0 1
-
0 0
}. vector
Transcribed Image Text:Given A = E let a₁, a2 and a3 be the columns of A, let B = {a1, a2, ã3} and let H = span(B). 6 a. The number of vectors in Bis 2 5 -3 2 2 -2 1 b. The number of vectors in H is d. Is B a basis for R³? choose c. The dimension of the subspace His -21 e. A basis for the subspace H is { 01/ - 0 1 - 0 0 }. vector
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