MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics 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. |
Which of the following is the reversal law of transposes? |
| A. | (A-B) =B -A |
| B. | (AB) =B A |
| C. | (AB) =(BA) |
| D. | (A+B) =B +A |
| Answer» C. (AB) =(BA) | |
| 3. |
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} ) | |
| 4. |
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} ) | |
| 5. |
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} ) | |
| 6. |
If A= ( begin{bmatrix}cos x&-sin x&-cos x sin x&-cos x&sin x 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. | |
| 7. |
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} ) | |
| 8. |
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} ) | |
| 9. |
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. | |
| 10. |
Which of the following is not the property of transpose of a matrix? |
| A. | (A ) =A |
| B. | (A+B) =A +B |
| C. | (AB) =(BA) |
| D. | (kA) =KA |
| Answer» D. (kA) =KA | |