Matrices… | NUST Entrance Test Mathematics

MM

Mashaal Masha

Sep 28, 2022

Choose the correct options for the following questions.

Determinant of $\begin{bmatrix}rcos\theta& 1&-sin\theta\\0&1 & 0\\rsin\theta&0&cos\theta \end{bmatrix}$=

Difficulty: Easy

A:

0

B:

1

C:

-1

D:

r

Determinant of $\begin{bmatrix}1& 1&1\\1&1+x & 1\\1&1&1+y\end{bmatrix}$=

Difficulty: Easy

A:

0

B:

1

C:

(1+x)(1+y)

D:

2xy

Determinant of $\begin{bmatrix}b+c& a&a\\b&c+a & b\\c&c&a+b\end{bmatrix}$=

Difficulty: Easy

A:

0

B:

(a+b+c)

C:

abc

D:

4abc

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Matrices and Determinants - Set 7