Explore topic-wise MCQs in Mathematics Questions and Answers.

This section includes 5 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers 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. C1→3C1
B. C2→C1+C2
C. C2→2+2C2
D. C2→2C1+2C2-C3
Answer» D. C2→2C1+2C2-C3
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. \(\begin{bmatrix}5&8\\-1&2\\3&-4\end{bmatrix}\)
B. \(\begin{bmatrix}20&8\\-4&2\\12&-4\end{bmatrix}\)
C. \(\begin{bmatrix}20&8\\4&2\\12&-4\end{bmatrix}\)
D. \(\begin{bmatrix}20&8\\-4&2\\12&4\end{bmatrix}\)
Answer» C. \(\begin{bmatrix}20&8\\4&2\\12&-4\end{bmatrix}\)
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. \(\begin{bmatrix}2&5&4\\16&19&24\\7&2&1\end{bmatrix}\)
B. \(\begin{bmatrix}2&5&4\\19&19&24\\7&2&1\end{bmatrix}\)
C. \(\begin{bmatrix}2&-5&4\\16&19&24\\7&2&1\end{bmatrix}\)
D. \(\begin{bmatrix}1&5&4\\16&19&24\\7&2&1\end{bmatrix}\)
Answer» B. \(\begin{bmatrix}2&5&4\\19&19&24\\7&2&1\end{bmatrix}\)
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. R1→R1-2R2
B. R1→2R1+R2
C. R1→R2+R1
D. R1→R1+2R2
Answer» E.
Discussion
5.

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

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