Question
Question: If A is an orthogonal matrix, then \|A\| is-...
If A is an orthogonal matrix, then |A| is-
A
1
B
–1
C
± 1
D
0
Answer
± 1
Explanation
Solution
As A is an orthogonal matrix,
A¢A = AA¢ = In
Ž |A¢A| = |AA¢| = |In|
Ž |A¢| |A| = 1
Ž |A| |A| = 1
Ž |A|2 = 1 Ž |A| = ± 1