1: Which of the following vectors are linearly dependent? A: H and 3 B: 2 and 4 C: Ο Α О в O C O D 0 and 1 D: Non of these

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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Question
1:
Which of the following vectors are linearly dependent?
21
A:
-4 and 3
B:
and 4
C:
A
B
D
123
NOO
D: Non of these
*
2:
The function f(x) = x + 2x + 3x + 4x₁x₂ + 5x₂x3 + 6x₁x3 can be written in the
form f(x)= XTQX with the matrix
[1
[1 1 31
A: Q = 2
2 3
[1 2 31
2 2.5 B: Q = 4 5 6
2.5 3
2 3 1
C: Q=2 5 3
D: Non of these
13
L6 5 4
B
O D
and
Transcribed Image Text:1: Which of the following vectors are linearly dependent? 21 A: -4 and 3 B: and 4 C: A B D 123 NOO D: Non of these * 2: The function f(x) = x + 2x + 3x + 4x₁x₂ + 5x₂x3 + 6x₁x3 can be written in the form f(x)= XTQX with the matrix [1 [1 1 31 A: Q = 2 2 3 [1 2 31 2 2.5 B: Q = 4 5 6 2.5 3 2 3 1 C: Q=2 5 3 D: Non of these 13 L6 5 4 B O D and
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