Explore topic-wise MCQs in Mathematics.

This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Which of the following column operation is incorrect for the matrix A= ( begin{bmatrix}1&2&5 6&3&8 end{bmatrix} ) ?

A. C<sub>1</sub> 3C<sub>1</sub>
B. C<sub>2</sub> C<sub>1</sub>+C<sub>2</sub>
C. C<sub>2</sub> 2+2C<sub>2</sub>
D. C<sub>2</sub> 2C<sub>1</sub>+2C<sub>2</sub>-C<sub>3</sub>
Answer» D. C<sub>2</sub> 2C<sub>1</sub>+2C<sub>2</sub>-C<sub>3</sub>
Discussion
2.

Which among the following is the new matrix after applying the elementary operation C1 4C1 on the matrix A= ( begin{bmatrix}5&8 -1&2 3&-4 end{bmatrix} )?

A. ( begin{bmatrix}5&amp;8 -1&amp;2 3&amp;-4 end{bmatrix} )
B. ( begin{bmatrix}20&amp;8 -4&amp;2 12&amp;-4 end{bmatrix} )
C. ( begin{bmatrix}20&amp;8 4&amp;2 12&amp;-4 end{bmatrix} )
D. ( begin{bmatrix}20&amp;8 -4&amp;2 12&amp;4 end{bmatrix} )
Answer» C. ( begin{bmatrix}20&amp;8 4&amp;2 12&amp;-4 end{bmatrix} )
Discussion
3.

The new matrix after applying the elementary operation R2 2R2+3R1 on the matrix A= ( begin{bmatrix}2&5&4 5&2&6 7&2&1 end{bmatrix} ) is _____________

A. ( begin{bmatrix}2&amp;5&amp;4 16&amp;19&amp;24 7&amp;2&amp;1 end{bmatrix} )
B. ( begin{bmatrix}2&amp;5&amp;4 19&amp;19&amp;24 7&amp;2&amp;1 end{bmatrix} )
C. ( begin{bmatrix}2&amp;-5&amp;4 16&amp;19&amp;24 7&amp;2&amp;1 end{bmatrix} )
D. ( begin{bmatrix}1&amp;5&amp;4 16&amp;19&amp;24 7&amp;2&amp;1 end{bmatrix} )
Answer» B. ( begin{bmatrix}2&amp;5&amp;4 19&amp;19&amp;24 7&amp;2&amp;1 end{bmatrix} )
Discussion
4.

Which of the following elementary operations has been applied to the matrix A= ( begin{bmatrix}8&5 2&8 end{bmatrix} ) such that the new matrix is ( begin{bmatrix}12&21 2&8 end{bmatrix} )?

A. R<sub>1</sub> R<sub>1</sub>-2R<sub>2</sub>
B. R<sub>1</sub> 2R<sub>1</sub>+R<sub>2</sub>
C. R<sub>1</sub> R<sub>2</sub>+R<sub>1</sub>
D. R<sub>1</sub> R<sub>1</sub>+2R<sub>2</sub>
Answer» E.
Discussion
5.

Which of the following is not a valid elementary operation?

A. R<sub>i</sub> R<sub>j</sub>
B. R<sub>i</sub> R<sub>j</sub>+kR<sub>i</sub>
C. R<sub>i</sub> kR<sub>i</sub>
D. R<sub>i</sub> 1+kR<sub>i</sub>
Answer» E.
Discussion
6.

Which of the following matrices will remain same if the elementary operation R1 2R1+3R2 is applied on the matrix?

A. ( begin{bmatrix}1&amp;2&amp;3 3&amp;4&amp;1 end{bmatrix} )
B. ( begin{bmatrix}0&amp;0&amp;0 0&amp;0&amp;0 0&amp;0&amp;0 end{bmatrix} )
C. ( begin{bmatrix}0&amp;1&amp;0 1&amp;0&amp;1 0&amp;1&amp;0 end{bmatrix} )
D. ( begin{bmatrix}1&amp;0 1&amp;2 1&amp;0 end{bmatrix} )
Answer» C. ( begin{bmatrix}0&amp;1&amp;0 1&amp;0&amp;1 0&amp;1&amp;0 end{bmatrix} )
Discussion
7.

The following operation is applied on a matrix A= ( begin{bmatrix}2&3 6&4 end{bmatrix} )
R1 R1+R2

A. nWhich of the following will be the resulting new matrix?
B. ( begin{bmatrix}8&amp;7 6&amp;-4 end{bmatrix} )
C. ( begin{bmatrix}8&amp;7 6&amp;4 end{bmatrix} )
D. ( begin{bmatrix}8&amp;7 6&amp;5 end{bmatrix} )
E. ( begin{bmatrix}8&amp;7 6&amp;2 end{bmatrix} )
Answer» C. ( begin{bmatrix}8&amp;7 6&amp;4 end{bmatrix} )
Discussion
8.

How many elementary operations are possible on Matrices?

A. 3
B. 2
C. 6
D. 5
Answer» D. 5
Discussion