Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
If for the matrix
A
=
[
cos
θ
2
sin
θ
sin
θ
cos
θ
]
A = \begin{bmatrix} \cos \theta & 2 \sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}
A
=
[
cos
θ
sin
θ
2
sin
θ
cos
θ
]
,
A
−
1
=
A
T
A^{-1} = A^T
A
−
1
=
A
T
then number of possible value(s) of
θ
\theta
θ
in
[
0
,
2
π
]
[0, 2\pi]
[
0
,
2
π
]
is: (a) 2 (b) 3 (c) 1 (d) 4
Browse the problem library