Using Laplace theorem, find the determinant of the following matrix. (7 marks) 3 5 2 4 1 3 7 6 A 2 4 8 3 5 6 9 7 b. i. Show that the following matrix is orthogonal. (6 marks) A 1770 √2 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 12E
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Using Laplace theorem, find the determinant of the following matrix. (7 marks)
3
5
2
4
1
3
7
6
A
2 4
8
3
5
6 9 7
b. i. Show that the following matrix is orthogonal. (6 marks)
A
1770
√2
0
Transcribed Image Text:Using Laplace theorem, find the determinant of the following matrix. (7 marks) 3 5 2 4 1 3 7 6 A 2 4 8 3 5 6 9 7 b. i. Show that the following matrix is orthogonal. (6 marks) A 1770 √2 0
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