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. |
Which of the following condition is incorrect for matrix multiplication? |
| A. | A(BC)=(AB)C |
| B. | A(B+C)=AB+AC |
| C. | AB=0 if either A or B is 0 |
| D. | AB=BA |
| Answer» E. | |
| 2. |
Let A= ( begin{bmatrix}3&-5&2 -4&-6&2 7&1&5 end{bmatrix} ). Find the additive inverse of A. |
| A. | ( begin{bmatrix}-3&5&-2 -4&6&2 7&1&5 end{bmatrix} ) |
| B. | ( begin{bmatrix}3&-5&2 -4&-6&2 7&1&5 end{bmatrix} ) |
| C. | ( begin{bmatrix}-3&5&-2 4&6&-2 -7&-1&-5 end{bmatrix} ) |
| D. | ( begin{bmatrix}-3&5&2 -4&6&-2 -7&-1&5 end{bmatrix} ) |
| Answer» D. ( begin{bmatrix}-3&5&2 -4&6&-2 -7&-1&5 end{bmatrix} ) | |
| 3. |
Matrix addition and matrix multiplication both are commutative. |
| A. | True |
| B. | False |
| Answer» C. | |
| 4. |
Find AB if A = ( begin{bmatrix}1&2 3&4 end{bmatrix} ) and B = ( begin{bmatrix}1&5 3&2 end{bmatrix} ). |
| A. | AB = ( begin{bmatrix}15&23 9&7 end{bmatrix} ) |
| B. | AB = ( begin{bmatrix}9&7 23&15 end{bmatrix} ) |
| C. | AB = ( begin{bmatrix}7&9 15&23 end{bmatrix} ) |
| D. | AB = ( begin{bmatrix}7&9 23&15 end{bmatrix} ) |
| Answer» D. AB = ( begin{bmatrix}7&9 23&15 end{bmatrix} ) | |
| 5. |
Find the value of x and y if 2 ( begin{bmatrix}5&x y-4&6 end{bmatrix} )+ ( begin{bmatrix}-4&1 3&2 end{bmatrix} )= ( begin{bmatrix}6&3 10&14 end{bmatrix} )? |
| A. | x=-1, y=9 |
| B. | x=-1, y=-9 |
| C. | x=1, y=-9 |
| D. | x=1, y=9 |
| Answer» E. | |
| 6. |
Find the matrix M and N, if M+N = ( begin{bmatrix}5&6 7&8 end{bmatrix} ),M-N = ( begin{bmatrix}4&5 6&8 end{bmatrix} ). |
| A. | M=1/2 ( begin{bmatrix}9&11 13&16 end{bmatrix} ), N=1/2 ( begin{bmatrix}1&1 1&0 end{bmatrix} ) |
| B. | M= ( begin{bmatrix}5&6 7&8 end{bmatrix} ), N= ( begin{bmatrix}4&5 8&6 end{bmatrix} ) |
| C. | M=1/2 ( begin{bmatrix}9&2 13&16 end{bmatrix} ), N=1/2 ( begin{bmatrix}1&1 2&5 end{bmatrix} ) |
| D. | M=1/2 ( begin{bmatrix}4&5 1&2 end{bmatrix} ), N=1/2 ( begin{bmatrix}1&2 1&2 end{bmatrix} ) |
| Answer» B. M= ( begin{bmatrix}5&6 7&8 end{bmatrix} ), N= ( begin{bmatrix}4&5 8&6 end{bmatrix} ) | |
| 7. |
If A+B = ( begin{bmatrix}6&7 5&0 end{bmatrix} )and A = ( begin{bmatrix}2&5 1&-1 end{bmatrix} ). Find the matrix B. |
| A. | B = ( begin{bmatrix}4&1 2&4 end{bmatrix} ) |
| B. | B = ( begin{bmatrix}4&2 4&1 end{bmatrix} ) |
| C. | B = ( begin{bmatrix}4&1 4&2 end{bmatrix} ) |
| D. | B = ( begin{bmatrix}4&4 4&2 end{bmatrix} ) |
| Answer» C. B = ( begin{bmatrix}4&1 4&2 end{bmatrix} ) | |
| 8. |
If A = ( begin{bmatrix}3&4 1&2 end{bmatrix} ) and B = ( begin{bmatrix}1&5 2&3 end{bmatrix} ), find 2A-3B. |
| A. | ( begin{bmatrix}3&7 -4&5 end{bmatrix} ) |
| B. | ( begin{bmatrix}-3&-7 -4&-5 end{bmatrix} ) |
| C. | ( begin{bmatrix}3&7 -4&-5 end{bmatrix} ) |
| D. | ( begin{bmatrix}3&-7 -4&-5 end{bmatrix} ) |
| Answer» E. | |
| 9. |
If A = ( begin{bmatrix}1&2&3 9&10&11 end{bmatrix} ) and B = ( begin{bmatrix}0&5&0 5&0&5 end{bmatrix} ), then find A+B. |
| A. | A+B = ( begin{bmatrix}1&7&3 11&10&16 end{bmatrix} ) |
| B. | A+B = ( begin{bmatrix}1&7&3 14&11&13 end{bmatrix} ) |
| C. | A+B = ( begin{bmatrix}1&7&3 14&10&16 end{bmatrix} ) |
| D. | A+B = ( begin{bmatrix}1&5&3 14&10&16 end{bmatrix} ) |
| Answer» D. A+B = ( begin{bmatrix}1&5&3 14&10&16 end{bmatrix} ) | |
| 10. |
The addition of matrices is only possible if they are of the same order. |
| A. | True |
| B. | False |
| Answer» B. False | |