4. Find a subset of the vectors v1= ( 0, 2 2, 4), v2= ( 1,0,-1,-3), v3= ( 2,3,1,1 ) and v4= ( -2, 1, 3, 2 ) that forms a basis for the space spanned by these vectors. Explain clearly. ӨThe matrix A=-Əis row equivalent tomatrix B =1-1011 1anel1Yoe =OO1OOeeOI prefEU-151Oว-1Q50e-231b = 1 = (1op brz-341is row equivalent to the1O HOmatrik D=O110= 60(p+10=10 7 1OOO OUse the above to answer the following questions4-3-31 1 21-6nipidana11DLefeFYe/LI

Answered: Image /qna-images/answer/19d331a8-f7a1-4731-9b45-6a48706fd8b9.jpg

Answered: Find a subset of the vectors v1= ( 0,…

Find a subset of the vectors v1= ( 0, 2 2, 4), v2= ( 1,0,-1,-3), v3= ( 2,3,1,1 ) and v4= ( -2, 1, 3, 2 ) that forms a basis for the space spanned by these vectors. Explain clearly.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.1: Operations With Matrices

Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.

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Question

4. Find a subset of the vectors v1= ( 0, 2 2, 4), v2= ( 1,0,-1,-3), v3= ( 2,3,1,1 ) and v4= ( -2, 1, 3, 2 ) that forms a basis for the space spanned by these vectors. Explain clearly.

Ө
The matrix A=
-Ə
is row equivalent to
matrix B =
1
-1
011 1
anel
1
Yo
e =
O
O
1
O
O
e
e
O
I pref
EU-15
1
O
ว
-1
Q50
e
-2
3
1
b = 1 = (1op brz
-3
4
1
is row equivalent to the
1
O HO
matrik D=
O
1
10
= 60
(p+10=10 7 1
O
O
O O
Use the above to answer the following questions
4
-3
-3
1 1 2
1
-6
nipidana
11
D
Le
fe
FY
e/LI

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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