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. |
A square matrix A is said to be non-singular if |A| 0. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 2. |
Which of the following formula is incorrect? |
| A. | A(adj A)=|A|I |
| B. | |adj (A)|=|A|<sup>n-1</sup>, for an n<sup>th</sup> order matrix |
| C. | A<sup>-1</sup>= ( frac{1}{|A|} ) adj A |
| D. | A(adj A)=|A|<sup>n-1</sup> |
| Answer» E. | |
| 3. |
If A= ( begin{bmatrix}-8&2 6&-3 end{bmatrix} ) and B= ( begin{bmatrix}2&1 1&7 end{bmatrix} ). Find (AB)-1. |
| A. | ( frac{1}{432} ) ( begin{bmatrix}-27&6 9&14 end{bmatrix} ) |
| B. | ( frac{1}{432} ) ( begin{bmatrix}27&6 9&14 end{bmatrix} ) |
| C. | ( frac{1}{432} ) ( begin{bmatrix}-27&6 9&14 end{bmatrix} ) |
| D. | ( frac{-1}{432} ) ( begin{bmatrix}27&6 9&14 end{bmatrix} ) |
| Answer» D. ( frac{-1}{432} ) ( begin{bmatrix}27&6 9&14 end{bmatrix} ) | |
| 4. |
Which of the below given matrices has the inverse ( frac{1}{-6} begin{bmatrix}2&1 0&-3 end{bmatrix} )? |
| A. | ( begin{bmatrix}3&-1 0&2 end{bmatrix} ) |
| B. | ( begin{bmatrix}-3&-1 0&2 end{bmatrix} ) |
| C. | ( begin{bmatrix}-2&0 1&3 end{bmatrix} ) |
| D. | ( begin{bmatrix}-3&-1 0&-2 end{bmatrix} ) |
| Answer» C. ( begin{bmatrix}-2&0 1&3 end{bmatrix} ) | |
| 5. |
Which of the below condition is incorrect for the inverse of a matrix A? |
| A. | The matrix A must be a square matrix |
| B. | A must be singular matrix |
| C. | A must be a non-singular matrix |
| D. | adj A 0 |
| Answer» C. A must be a non-singular matrix | |
| 6. |
Find the inverse of the matrix A= ( begin{bmatrix}8&5 4&1 end{bmatrix} ). |
| A. | ( begin{bmatrix}- frac{1}{12}& frac{5}{12} frac{1}{3}&- frac{2}{3} end{bmatrix} ) |
| B. | ( begin{bmatrix} frac{1}{12}& frac{5}{12} frac{1}{3}&- frac{2}{3} end{bmatrix} ) |
| C. | ( begin{bmatrix}- frac{1}{12}& frac{5}{12} frac{1}{3}& frac{2}{3} end{bmatrix} ) |
| D. | ( begin{bmatrix}- frac{1}{12}& frac{5}{12} - frac{1}{3}&- frac{2}{3} end{bmatrix} ) |
| Answer» B. ( begin{bmatrix} frac{1}{12}& frac{5}{12} frac{1}{3}&- frac{2}{3} end{bmatrix} ) | |
| 7. |
Which of the following is the formula for calculating the inverse of the matrix? |
| A. | ( frac{2}{|A|} ) adj A |
| B. | ( frac{1}{|A|} ) adj A |
| C. | ( frac{-1}{|A|} ) adj A |
| D. | ( frac{1}{|2A|} ) adj A |
| Answer» C. ( frac{-1}{|A|} ) adj A | |
| 8. |
If A= ( begin{bmatrix}1&0 9&4 end{bmatrix} ), then (adj A)A is ______________ |
| A. | ( begin{bmatrix}-4&0 0&-4 end{bmatrix} ) |
| B. | ( begin{bmatrix}4&0 1&4 end{bmatrix} ) |
| C. | ( begin{bmatrix}4&0 0&4 end{bmatrix} ) |
| D. | ( begin{bmatrix}4&0 0&-4 end{bmatrix} ) |
| Answer» D. ( begin{bmatrix}4&0 0&-4 end{bmatrix} ) | |
| 9. |
If A= ( begin{bmatrix}5&-8 2&6 end{bmatrix} ), find A(adj A). |
| A. | ( begin{bmatrix}41&0 0&46 end{bmatrix} ) |
| B. | ( begin{bmatrix}46&0 1&46 end{bmatrix} ) |
| C. | ( begin{bmatrix}46&1 0&46 end{bmatrix} ) |
| D. | ( begin{bmatrix}46&0 0&46 end{bmatrix} ) |
| Answer» E. | |
| 10. |
Which of the following is the adjoint of the matrix A= ( begin{bmatrix}1&5 3&4 end{bmatrix} )? |
| A. | ( begin{bmatrix}4&-5 -3&-1 end{bmatrix} ) |
| B. | ( begin{bmatrix}-4&5 -3&1 end{bmatrix} ) |
| C. | ( begin{bmatrix}4&-5 -3&1 end{bmatrix} ) |
| D. | ( begin{bmatrix}4&5 -3&1 end{bmatrix} ) |
| Answer» D. ( begin{bmatrix}4&5 -3&1 end{bmatrix} ) | |