Consider the following vectors! x₁ = x2= 6 x3 =1 16 -5 X=[²] { Ⓒ) are the weckers S [ X₁, X₁, X3z vectors & a linearly independent? Justify your answer. 2 -1 2 2 O (1) Find a basis for the subspace U = span { X₁₁ X ₂₁ X3} © what is the dim (U) ? Justify your answer, @ Jf X = [X₁ X₂ X3], what is the rk (X)? Justify your answer
Consider the following vectors! x₁ = x2= 6 x3 =1 16 -5 X=[²] { Ⓒ) are the weckers S [ X₁, X₁, X3z vectors & a linearly independent? Justify your answer. 2 -1 2 2 O (1) Find a basis for the subspace U = span { X₁₁ X ₂₁ X3} © what is the dim (U) ? Justify your answer, @ Jf X = [X₁ X₂ X3], what is the rk (X)? Justify your answer
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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7dbb4ae4-0d65-4baa-9481-63f79be91eca%2F74ee7c75-19cd-4995-89ac-9c64539ae4d7%2F2ciez0b_processed.jpeg&w=3840&q=75)
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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