Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
C,D
Consider the following vectors!
x₁ =
x2 =
6
a
2
-1
2
2
6
[1]
16
-5
are the vectors &
linearly independent?
Justify your answer.
x3 =1
D (X₁, X2, X3
(1) Find a basis for the subspace
U = span { X₁₁ X₂₁ X3}
1
© what is the dim (U) ? Justify
your answer,
@ Jf X = [X₁ X₂ X3], what is
the rk (x)? Justify your
answer
expand button
Transcribed Image Text:Consider the following vectors! x₁ = x2 = 6 a 2 -1 2 2 6 [1] 16 -5 are the vectors & linearly independent? Justify your answer. x3 =1 D (X₁, X2, X3 (1) Find a basis for the subspace U = span { X₁₁ X₂₁ X3} 1 © what is the dim (U) ? Justify your answer, @ Jf X = [X₁ X₂ X3], what is the rk (x)? Justify your answer
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