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let a₁, a2 and a3 be the columns of A, let B = (a, a, a) and let H = span(B). a. The number of vectors in B is b. The number of vectors in His c. The dimension of the subspace H is d. Is B a basis for R³ ✓ choose basis for R^3 not a basis for R^3 e. A basis for the subspace Hi separated list such as <1,2,3>,<4,5,6>. A = Be sure you can explain and justify your answer. [10 }. Enter a column vector such as 2 using the syntax <1,2,3>. If there is more than vector in your basis, enter a comma 3

let a₁, a2 and a3 be the columns of A, let B = (a, a, a) and let H = span(B). a. The number of vectors in B is b. The number of vectors in His c. The dimension of the subspace H is d. Is B a basis for R³ ✓ choose basis for R^3 not a basis for R^3 e. A basis for the subspace Hi separated list such as <1,2,3>,<4,5,6>. A = Be sure you can explain and justify your answer. [10 }. Enter a column vector such as 2 using the syntax <1,2,3>. If there is more than vector in your basis, enter a comma 3

Advanced Engineering Mathematics
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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let a₁, a2 and a3 be the columns of A, let B = {a₁, a2, a3} and let H = span(B). a. The number of vectors in Bis b. The number of vectors in His c. The dimension of the subspace His d. Is B a basis for R³1 ✓ choose basis for R^3 not a basis for R^3 e. A basis for the subspace H is { separated list such as <1,2,3>,<4,5,6>. A = Го 8 1 1 0-4 Be sure you can explain and justify your answer. 10 0 16: 0 0 -2 4 0 0 }. Enter a column vector such as 2 using the syntax <1,2,3>. If there is more than vector in your basis, enter a comma -6 3
Transcribed Image Text:let a₁, a2 and a3 be the columns of A, let B = {a₁, a2, a3} and let H = span(B). a. The number of vectors in Bis b. The number of vectors in His c. The dimension of the subspace His d. Is B a basis for R³1 ✓ choose basis for R^3 not a basis for R^3 e. A basis for the subspace H is { separated list such as <1,2,3>,<4,5,6>. A = Го 8 1 1 0-4 Be sure you can explain and justify your answer. 10 0 16: 0 0 -2 4 0 0 }. Enter a column vector such as 2 using the syntax <1,2,3>. If there is more than vector in your basis, enter a comma -6 3
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