MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 8 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. |
For a matrix A having |A| = 0, which of the following are true? |
| A. | A-1 exists |
| B. | A-1 does not exists |
| C. | A is non-singular |
| D. | A-1 exists with |A-1|= 0 |
| Answer» C. A is non-singular | |
| 2. |
If A and B are two square matrices, then |A.B| is same as which of the following? |
| A. | |A|.|B| |
| B. | |B|.|A| |
| C. | |B-A| |
| D. | |A-B| |
| Answer» B. |B|.|A| | |
| 3. |
A matrix B and _____ will have the same determinant. |
| A. | Its transpose |
| B. | Its inverse |
| C. | Its echelon matrix |
| D. | Its adjoint |
| Answer» B. Its inverse | |
| 4. |
Consider the set P of all determinants of order 3 with entries 0 or 1 only. Let Q the subset of P consisting of all determinants with value 1.Let R be the subset of P consisting of all determinants with value – 1. Then, which of the following is true? |
| A. | R is empty |
| B. | Q has as many elements as R |
| C. | P = Q ∪ R |
| D. | Q has twice as many elements as R |
| Answer» C. P = Q ∪ R | |
| 5. |
If each element of a line consists of m terms, the determinant can be expressed as the sum of ______ determinants. |
| A. | m-1 |
| B. | m |
| C. | m+1 |
| D. | m2 |
| Answer» C. m+1 | |
| 6. |
What is the value of the determinant \(\begin{pmatrix}2&5&1\\7&4&5\\1&2&3\end{pmatrix}\)? |
| A. | -56 |
| B. | -96 |
| C. | -66 |
| D. | -85 |
| Answer» D. -85 | |
| 7. |
For a determinant \(\begin{vmatrix}a&b&c\\d&e&f\\g&h&i\end{vmatrix}\), the cofactor of h will be equal to which of the following? |
| A. | (-1)3+2 \(\begin{vmatrix}a&c\\d&f\end{vmatrix}\) |
| B. | (-1)3+2 \(\begin{vmatrix}d&f\\g&i\end{vmatrix}\) |
| C. | (-1)3+2 \(\begin{vmatrix}a&c\\g&i\end{vmatrix}\) |
| D. | (-1)3+2 \(\begin{vmatrix}b&c\\e&f\end{vmatrix}\) |
| Answer» B. (-1)3+2 \(\begin{vmatrix}d&f\\g&i\end{vmatrix}\) | |
| 8. |
For a determinant containing 4 elements a1 b1 a2 b2, what will the elements of the leading diagonal? |
| A. | a1 b1 |
| B. | a1 b2 |
| C. | a2 b1 |
| D. | a2 b2 |
| Answer» C. a2 b1 | |