Given -7 -1 A = 3 2 4 6 let a₁ and a₂ be the columns of A, let B = {1, 2} and let H a. The number of vectors in B is b. The number of vectors in H is c. The dimension of the subspace H is = span(B). d. Is B a basis for R3? choose e. A basis for the subspace H is { }. vector

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
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
-7
-1
A =
3
2
4
6
let a₁ and a₂ be the columns of A, let B = {a1, a2} and let H = span(B).
a. The number of vectors in B is
b. The number of vectors in H is
c. The dimension of the subspace H is
d. Is B a basis for R3? choose
e. A basis for the subspace H is {
}. vector
Transcribed Image Text:Given -7 -1 A = 3 2 4 6 let a₁ and a₂ be the columns of A, let B = {a1, a2} and let H = span(B). a. The number of vectors in B is b. The number of vectors in H is c. The dimension of the subspace H is d. Is B a basis for R3? choose e. A basis for the subspace H is { }. vector
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