MCQOPTIONS
Saved Bookmarks
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. |
Find the inverse of A= ( begin{bmatrix}5&3 4&1 end{bmatrix} ). |
| A. | ( begin{bmatrix}- frac{1}{7}& frac{3}{7} frac{4}{7}&- frac{5}{7} end{bmatrix} ) |
| B. | ( begin{bmatrix}- frac{1}{7}& frac{3}{7} frac{4}{7}& frac{5}{7} end{bmatrix} ) |
| C. | ( begin{bmatrix}- frac{1}{7}&- frac{3}{7} frac{4}{7}&- frac{5}{7} end{bmatrix} ) |
| D. | ( begin{bmatrix}0& frac{3}{7} frac{4}{7}& frac{5}{7} end{bmatrix} ) |
| Answer» B. ( begin{bmatrix}- frac{1}{7}& frac{3}{7} frac{4}{7}& frac{5}{7} end{bmatrix} ) | |
| 2. |
Which of the following is not a property of invertible matrices if A and B are matrices of the same order? |
| A. | (AB)<sup>-1</sup>=A<sup>-1</sup> B<sup>-1</sup> |
| B. | (AA<sup>-1</sup>)=(A<sup>-1</sup> A)=I |
| C. | (AB)<sup>-1</sup>=B<sup>-1</sup> A<sup>-1</sup> |
| D. | AB=BA=I |
| Answer» B. (AA<sup>-1</sup>)=(A<sup>-1</sup> A)=I | |
| 3. |
Find the inverse of matrix A= ( begin{bmatrix}5&1&3 4&2&6 5&4&2 end{bmatrix} ) |
| A. | ( begin{bmatrix}0&- frac{1}{6}&0 - frac{11}{30}& frac{1}{12}& frac{3}{10} - frac{1}{10}& frac{1}{4}&- frac{1}{10} end{bmatrix} ) |
| B. | ( begin{bmatrix} frac{1}{3}&- frac{1}{6}&0 - frac{11}{30}& frac{1}{12}& frac{3}{10} - frac{1}{10}& frac{1}{4}&- frac{1}{10} end{bmatrix} ) |
| C. | ( begin{bmatrix} frac{1}{3}&- frac{1}{6}&0 - frac{11}{30}&1& frac{3}{10} - frac{1}{10}& frac{1}{4}&- frac{1}{10} end{bmatrix} ) |
| D. | ( begin{bmatrix} frac{1}{3}& frac{1}{6}&0 frac{11}{30}& frac{1}{12}& frac{3}{10} - frac{1}{10}& frac{1}{4}& frac{1}{10} end{bmatrix} ) |
| Answer» C. ( begin{bmatrix} frac{1}{3}&- frac{1}{6}&0 - frac{11}{30}&1& frac{3}{10} - frac{1}{10}& frac{1}{4}&- frac{1}{10} end{bmatrix} ) | |
| 4. |
Which among the below matrices has the inverse A-1= ( begin{bmatrix}1&- frac{5}{8} 0& frac{1}{8} end{bmatrix} ) |
| A. | ( begin{bmatrix}1&5 0&8 end{bmatrix} ) |
| B. | ( begin{bmatrix}1&5 -1&8 end{bmatrix} ) |
| C. | ( begin{bmatrix}1&5 0&16 end{bmatrix} ) |
| D. | ( begin{bmatrix}1&8 0&8 end{bmatrix} ) |
| Answer» B. ( begin{bmatrix}1&5 -1&8 end{bmatrix} ) | |
| 5. |
Which of the following is the inverse of the matrix A= ( begin{bmatrix}8&1 1&2 end{bmatrix} )? |
| A. | ( begin{bmatrix} frac{2}{15}&- frac{1}{15} frac{1}{15}& frac{8}{15} end{bmatrix} ) |
| B. | ( begin{bmatrix} frac{1}{15}&- frac{1}{15} - frac{1}{15}& frac{1}{15} end{bmatrix} ) |
| C. | ( begin{bmatrix} frac{2}{15}&- frac{1}{15} - frac{1}{15}& frac{8}{15} end{bmatrix} ) |
| D. | ( begin{bmatrix} frac{2}{15}& frac{1}{15} frac{1}{15}& frac{4}{15} end{bmatrix} ) |
| Answer» D. ( begin{bmatrix} frac{2}{15}& frac{1}{15} frac{1}{15}& frac{4}{15} end{bmatrix} ) | |
| 6. |
The inverse of the matrix A= ( begin{bmatrix}1&2&4 5&2&4 3&6&2 end{bmatrix} ) is |
| A. | ( begin{bmatrix} frac{-1}{4}& frac{1}{4}&0 frac{1}{40}& frac{-1}{8}& frac{1}{5} frac{3}{40}&1& frac{-1}{10} end{bmatrix} ) |
| B. | ( begin{bmatrix} frac{-1}{4}& frac{1}{4}&1 frac{1}{40}& frac{-1}{8}& frac{1}{5} frac{3}{40}&0& frac{-1}{10} end{bmatrix} ) |
| C. | ( begin{bmatrix} frac{-1}{4}& frac{1}{4}&0 frac{1}{40}& frac{-1}{8}& frac{1}{5} frac{3}{40}&0& frac{-1}{10} end{bmatrix} ) |
| D. | ( begin{bmatrix} frac{-1}{4}&- frac{1}{4}&0 frac{1}{40}& frac{1}{8}& frac{-1}{5} frac{3}{40}&0& frac{-1}{10} end{bmatrix} ) |
| Answer» D. ( begin{bmatrix} frac{-1}{4}&- frac{1}{4}&0 frac{1}{40}& frac{1}{8}& frac{-1}{5} frac{3}{40}&0& frac{-1}{10} end{bmatrix} ) | |
| 7. |
A matrix A is invertible if it has all zeroes in one or more rows on L.H.S. |
| A. | True |
| B. | False |
| Answer» C. | |
| 8. |
If A and B are invertible matrices of the same order, then (AB)-1=B-1 A-1. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 9. |
Which of the following matrices will not have an inverse? |
| A. | ( begin{bmatrix}2&4 -1&1 end{bmatrix} ) |
| B. | ( begin{bmatrix}1&5&2 6&4&2 1&3&2 end{bmatrix} ) |
| C. | ( begin{bmatrix}1&2 1&1 end{bmatrix} ) |
| D. | ( begin{bmatrix}1&2&5 3&6&4 end{bmatrix} ) |
| Answer» E. | |
| 10. |
Which among the following is inverse of the matrix A= ( begin{bmatrix}2&3 5&1 end{bmatrix} ) ? |
| A. | ( begin{bmatrix} frac{1}{13}& frac{3}{13} frac{5}{13}& frac{-2}{13} end{bmatrix} ) |
| B. | ( begin{bmatrix} frac{-1}{13}& frac{3}{13} frac{5}{13}& frac{-2}{13} end{bmatrix} ) |
| C. | ( begin{bmatrix} frac{-1}{13}& frac{3}{13} 1& frac{-2}{13} end{bmatrix} ) |
| D. | ( begin{bmatrix} frac{-1}{13}& frac{3}{13} frac{5}{13}&-2 end{bmatrix} ) |
| Answer» C. ( begin{bmatrix} frac{-1}{13}& frac{3}{13} 1& frac{-2}{13} end{bmatrix} ) | |