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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
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I want to make sure my answer is correct. If not please provide an explanation. Thank you.

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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