Question 1

Determinant of $\begin{bmatrix}
cos x & sin x \
sin x & cos x
\end{bmatrix}$

Accepted Answer

cos 2x

Answer

sin 2x

Answer

0

Answer

1

Question 2

Let A be a square matrix of order 3 × 3, then | kA| is equal to

Accepted Answer

k 3 |  A |

Answer

k 2 |  A |

Answer

3 k  |  A |

Answer

k  |  A |

Question 3

Find area of the triangle with vertices (3, 8), (– 4, 2) and (5, 1).

Accepted Answer

61/2

Answer

$\sqrt{61}$

Answer

61

Answer

1/2 $\begin{bmatrix}
cos x & sin x \
sin x & cos x
\end{bmatrix}$

Question 4

Find adjoint for A= $\begin{bmatrix}
cos x & sin x \
sin x & cos x
\end{bmatrix}$

Accepted Answer

$\sqrt{61}$

Answer

$\sqrt{61}$

Answer

$\sqrt{61}$

Answer

$\sqrt{61}$

Question 5

If A is an invertible matrix of order 2, then det (A^-1) is equal to

Accepted Answer

$\begin{bmatrix}
cos x & sin x \
sin x & cos x
\end{bmatrix}$

Answer

det (A)

Answer

0

Answer

1

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