Given the following set of the vectors from M22 1 1 0 0 10 S 0 0 0 1 11 In order to check whether the set is linearly independent we should form an equation 0 0 b 1 1 11 10 C 1, 0 0 0 1 where a,b and c are some real numbers. Select one: True O False Consider the vectors and x= 21 in M22 X, = 0 2 0 2 S={x1, X2, x3} is linearly dependent. Select one: O True O False

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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Given the following set of the vectors from M22
0 0
0 0
11
10
S
11
0 1
In order to check whether the set is linearly
independent we should form an equation
0 0
1 1
11
10
b
C
1,
0 0
0 1
where a,b and c are some real numbers.
Select one:
True
O False
Consider the vectors
X, =
0 1
11
,X2=
21
and x=
in M22
0 2
S={x,, x2, x3} is linearly dependent.
Select one:
O True
O False
Transcribed Image Text:Given the following set of the vectors from M22 0 0 0 0 11 10 S 11 0 1 In order to check whether the set is linearly independent we should form an equation 0 0 1 1 11 10 b C 1, 0 0 0 1 where a,b and c are some real numbers. Select one: True O False Consider the vectors X, = 0 1 11 ,X2= 21 and x= in M22 0 2 S={x,, x2, x3} is linearly dependent. Select one: O True O False
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