Linear Algebra

1:

Matrix, A =

 
cosΘ sinΘ 0
sinΘ cosΘ 0
0 0 1
 
A.

orthogonal

B.

non-singular

C.

have A-1 exists

D.

both (b) & (c)

 

Answer : D

Explanation :

Determinant A = 1 (cos2Θ + sin2Θ) Hence A is non-singular and A-1 exists

hmaza said: (10:19pm on Monday 29th April 2013)
singular means det is zero but answer b and c is true

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Option: A

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