MCQOPTIONS
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MCQOPTIONS
This section includes 8 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. |
If A=\(\begin{bmatrix}i&1\\0&i\end{bmatrix}\), then the correct relation is ___________ |
| A. | A+A’=\(\begin{bmatrix}1&0\\-1&0\end{bmatrix}\) |
| B. | A-A’=\(\begin{bmatrix}1&0\\-1&0\end{bmatrix}\) |
| C. | A+A’=\(\begin{bmatrix}0&1\\-1&0\end{bmatrix}\) |
| D. | A-A’=\(\begin{bmatrix}0&1\\-1&0\end{bmatrix}\) |
| Answer» E. | |
| 2. |
If P=\(\begin{bmatrix}-1&5\\8&3\end{bmatrix}\) and Q=\(\begin{bmatrix}4&2\\8&5\end{bmatrix}\). Find (2P+3Q’)’. |
| A. | \(\begin{bmatrix}10&22\\34&21\end{bmatrix}\) |
| B. | \(\begin{bmatrix}10&21\\34&22\end{bmatrix}\) |
| C. | \(\begin{bmatrix}10&34\\22&21\end{bmatrix}\) |
| D. | \(\begin{bmatrix}10&22\\21&34\end{bmatrix}\) |
| Answer» B. \(\begin{bmatrix}10&21\\34&22\end{bmatrix}\) | |
| 3. |
If matrix A=\(\begin{bmatrix}4&1\\6&2\end{bmatrix}\) and B=\(\begin{bmatrix}-1&3\\2&1\\6&6\end{bmatrix}\), then find A’ B’. |
| A. | \(\begin{bmatrix}14&14\\5&4\\6&18\end{bmatrix}\) |
| B. | \(\begin{bmatrix}14&5\\14&4\\6&18\end{bmatrix}\) |
| C. | \(\begin{bmatrix}14&14&60\\5&4&18\end{bmatrix}\) |
| D. | \(\begin{bmatrix}14&14&18\\5&4&60\end{bmatrix}\) |
| Answer» D. \(\begin{bmatrix}14&14&18\\5&4&60\end{bmatrix}\) | |
| 4. |
Find the transpose of the matrix A=\(\begin{bmatrix}-1&2&\sqrt{3}\\-4&5&\sqrt{6}\\-7&8&-9\end{bmatrix}\) |
| A. | \(\begin{bmatrix}1&-2&-\sqrt{3}\\4&-5&-\sqrt{6}\\7&-8&9\end{bmatrix}\) |
| B. | \(\begin{bmatrix}-1&-4&-7\\2&5&8\\\sqrt{3}&\sqrt{6}&-9\end{bmatrix}\) |
| C. | \(\begin{bmatrix}1&4&7\\-2&-5&-8\\-\sqrt{3}&-\sqrt{6}&9\end{bmatrix}\) |
| D. | \(\begin{bmatrix}1&4&7\\-2&5&2\\1&8&9\end{bmatrix}\) |
| Answer» C. \(\begin{bmatrix}1&4&7\\-2&-5&-8\\-\sqrt{3}&-\sqrt{6}&9\end{bmatrix}\) | |
| 5. |
If A=\(\begin{bmatrix}cosx&-sinx&-cosx\\sinx&-cosx&sinx \end{bmatrix}\). Find A’A. |
| A. | \(\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\end{bmatrix}\) |
| B. | \(\begin{bmatrix}1&0&1\\1&0&1\\1&0&1\end{bmatrix}\) |
| C. | \(\begin{bmatrix}1&0&1\\0&1&0\\1&0&1\end{bmatrix}\) |
| D. | \(\begin{bmatrix}1&0&0\\1&1&0\\1&1&1\end{bmatrix}\) |
| Answer» E. | |
| 6. |
If A’=\(\begin{bmatrix}8&2\\6&4\end{bmatrix}\) and B’=\(\begin{bmatrix}9&5\\7&3\end{bmatrix}\). Find (A+2B)’. |
| A. | \(\begin{bmatrix}26&20\\10&12\end{bmatrix}\) |
| B. | \(\begin{bmatrix}26&12\\20&10\end{bmatrix}\) |
| C. | \(\begin{bmatrix}26&10\\20&12\end{bmatrix}\) |
| D. | \(\begin{bmatrix}26&20\\12&10\end{bmatrix}\) |
| Answer» C. \(\begin{bmatrix}26&10\\20&12\end{bmatrix}\) | |
| 7. |
If A=\(\begin{bmatrix}2\\7\\8\end{bmatrix}\), B=\(\begin{bmatrix}-3&4&1\end{bmatrix}\), find (AB)’. |
| A. | (AB)’=\(\begin{bmatrix}-6&-21&-24\\8&28&32\\2&7&8\end{bmatrix}\) |
| B. | (AB)’=\(\begin{bmatrix}-6&8&2\\-21&-28&7\\-24&32&8\end{bmatrix}\) |
| C. | (AB)’=\(\begin{bmatrix}6&21&24\\-8&28&7\\-2&7&-8\end{bmatrix}\) |
| D. | (AB)’=\(\begin{bmatrix}-6&8&-21\\8&2&7\\-24&8&2\end{bmatrix}\) |
| Answer» B. (AB)’=\(\begin{bmatrix}-6&8&2\\-21&-28&7\\-24&32&8\end{bmatrix}\) | |
| 8. |
Find the transpose of A=\(\begin{bmatrix}1&-2\\-1&5\end{bmatrix}\). |
| A. | A=\(\begin{bmatrix}-1&-2\\-1&-5\end{bmatrix}\) |
| B. | A=\(\begin{bmatrix}1&2\\1&5\end{bmatrix}\) |
| C. | A=\(\begin{bmatrix}-1&2\\-1&5\end{bmatrix}\) |
| D. | A=\(\begin{bmatrix}1&-1\\-2&5\end{bmatrix}\) |
| Answer» E. | |