Question Three Complete the following work on your own. a) Calculate the rank of the following matrix: 1 –5 2 -3 11 1 -4 2 -5 A = -1 -9 0 −4 17 5 3 6 -1 b) Calculate the rank of the following matrix and use it to determine if there exists linear dependence in this matrix: 1 6 1 0 4 4 1 B = 2 1 -9 0 3 −1 -16-1 2 22 3

MACROECONOMICS FOR TODAY
10th Edition
ISBN:9781337613057
Author:Tucker
Publisher:Tucker
Chapter1: Introducing The Economic Way Of Thinking
Section1.A: Applying Graphics To Economics
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Question Three Complete the following work on your own.
a) Calculate the rank of the following matrix:
1
–5
2 -3
11
1 -4 2
-5
A =
-1
-9
0
−4 17
5 3
6 -1
b) Calculate the rank of the following matrix and use it to determine if there
exists linear dependence in this matrix:
1
6 1
0
4
4
1
B =
2
1
-9
0
3
−1
-16-1
2
22
3
Transcribed Image Text:Question Three Complete the following work on your own. a) Calculate the rank of the following matrix: 1 –5 2 -3 11 1 -4 2 -5 A = -1 -9 0 −4 17 5 3 6 -1 b) Calculate the rank of the following matrix and use it to determine if there exists linear dependence in this matrix: 1 6 1 0 4 4 1 B = 2 1 -9 0 3 −1 -16-1 2 22 3
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