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This section includes 12 Mcqs, each offering curated multiple-choice questions to sharpen your Simultaneous Algebraic Equations knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is x, if P = ( begin{bmatrix}1&4 2&x end{bmatrix} ) is a singular matrix? |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 8 |
| Answer» E. | |
| 2. |
Which of the following is true if A is a singular matrix? |
| A. | It contains all elements equal to 1 |
| B. | It contains single element |
| C. | Its determinant is zero |
| D. | It contains all elements equal to 0 |
| Answer» D. It contains all elements equal to 0 | |
| 3. |
What is the order of the matrix [2 4 3]? |
| A. | 1 X 3 |
| B. | 3 X 1 |
| C. | 1 X 1 |
| D. | 3 X 3 |
| Answer» B. 3 X 1 | |
| 4. |
What is the order of the matrix with m rows and n columns? |
| A. | m + n |
| B. | n x n |
| C. | m x m |
| D. | m x n |
| Answer» E. | |
| 5. |
What do we call the matrices obtained by changing rows and columns? |
| A. | rectangular matrix |
| B. | transpose |
| C. | symmetric |
| D. | scalar |
| Answer» C. symmetric | |
| 6. |
Which of the following is true if two matrices A and B are equal? |
| A. | both are rectangular |
| B. | both have same order |
| C. | number of columns of A is equal to columns of B |
| D. | both have same order and equal corresponding elements |
| Answer» E. | |
| 7. |
If AB exists, then (AB)-1 will be equal to which of the following? |
| A. | A<sup>-1</sup> B<sup>-1</sup> |
| B. | B<sup>-1</sup> A<sup>-1</sup> |
| C. | AB |
| D. | BA |
| Answer» B. B<sup>-1</sup> A<sup>-1</sup> | |
| 8. |
What do we call the number of non-zero rows in an echelon matrix? |
| A. | reduced echelon matrix |
| B. | order of a matrix |
| C. | determinant of a matrix |
| D. | rank of a matrix |
| Answer» E. | |
| 9. |
4.The matrix ( begin{bmatrix}5&0 0&5 end{bmatrix} ) is? |
| A. | Even matrix |
| B. | Odd matrix |
| C. | Scalar matrix |
| D. | Identity matrix |
| Answer» D. Identity matrix | |
| 10. |
Which of the following option is correct when multiplication of two matrices A and B is possible? |
| A. | both are rectangular |
| B. | both have same order |
| C. | number of rows of A is equal to rows of B |
| D. | number of rows of A is equal to number of columns of B |
| Answer» D. number of rows of A is equal to number of columns of B | |
| 11. |
If A is a symmetric matrix, then At will be equal to which of the following? |
| A. | A |
| B. | |A| |
| C. | 0 |
| D. | diagonal matrix |
| Answer» B. |A| | |
| 12. |
Which of the following option is correct when addition of two matrices A and B is possible? |
| A. | both are rectangular |
| B. | both have same order |
| C. | no of columns of A is equal to columns of B |
| D. | no of rows of A is equal to no of columns of B |
| Answer» C. no of columns of A is equal to columns of B | |