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t ₁, ₂ and 3 be the columns of A, let B = {a₁, a2, ã3} and let H = span(B). a. The number of vectors in Bis 3 b. The number of vectors in His 2 c. The dimension of the subspace His 2 d. Is B a basis for R3? basis for R^3 -6 A = -8 -5 e. A basis for the subspace H is {<1,0,0>,<0,1,0> separated list such as <1,2,3>,<4,5,6>. 0 -1 Be sure you can explain and justify your answer. 1 0 0 1 0 0 4 0 1 }. Enter a column vector such as 2 using the syntax <1,2,3> 3

t ₁, ₂ and 3 be the columns of A, let B = {a₁, a2, ã3} and let H = span(B). a. The number of vectors in Bis 3 b. The number of vectors in His 2 c. The dimension of the subspace His 2 d. Is B a basis for R3? basis for R^3 -6 A = -8 -5 e. A basis for the subspace H is {<1,0,0>,<0,1,0> separated list such as <1,2,3>,<4,5,6>. 0 -1 Be sure you can explain and justify your answer. 1 0 0 1 0 0 4 0 1 }. Enter a column vector such as 2 using the syntax <1,2,3> 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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et ả₁, ả2 and ẩ3 be the columns of A, let B = {ả₁, ā2, a3 } and let H a. The number of vectors in B is 3 b. The number of vectors in H is 2 2 c. The dimension of the subspace His d. Is B a basis for R³? basis for R^3 span(B). e. A basis for the subspace H is { <1,0,0>,<0,1,0> separated list such as <1,2,3>,<4,5,6>. = -6 -2 -8 0 -5 -1 Be sure you can explain and justify your answer. -2 0 1 00 - 4 4 0 }. Enter a column vector such as 2 using the syntax <1,2,3>. -11-
Transcribed Image Text:et ả₁, ả2 and ẩ3 be the columns of A, let B = {ả₁, ā2, a3 } and let H a. The number of vectors in B is 3 b. The number of vectors in H is 2 2 c. The dimension of the subspace His d. Is B a basis for R³? basis for R^3 span(B). e. A basis for the subspace H is { <1,0,0>,<0,1,0> separated list such as <1,2,3>,<4,5,6>. = -6 -2 -8 0 -5 -1 Be sure you can explain and justify your answer. -2 0 1 00 - 4 4 0 }. Enter a column vector such as 2 using the syntax <1,2,3>. -11-
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