 |  Matrix 20 Flashcards |  Start |
 | The trace of a square matrix is defined as ___ of the elements on the main diagonal. |  Card: 1 / 20 |
| The sum | Card: 2 / 20 |
| True or False: A symmetric matrix satisfies the condition aij = aji for all i and j. | Card: 3 / 20 |
| True | Card: 4 / 20 |
| If A is a square matrix and A is singular, then | adj A | = ___. | Card: 5 / 20 |
| 0 | Card: 6 / 20 |
| True or False: The adjoint of a diagonal matrix is also a diagonal matrix. | Card: 7 / 20 |
| True | Card: 8 / 20 |
| What is the relationship between the determinant of a matrix A and its adjoint? | Card: 9 / 20 |
| |adj (A)| = |A|n-1 | Card: 10 / 20 |
|  Unlock all Flashcards with EduRev Infinity Plan Starting from @ ₹99 only | |
| If A is an idempotent matrix, then ___ = A. | Card: 11 / 20 |
| A² | Card: 12 / 20 |
| What is the transpose of a matrix? | Card: 13 / 20 |
| The transpose of A, denoted AT, is obtained by interchanging rows and columns of A. | Card: 14 / 20 |
| True or False: The transpose of a product of matrices follows the rule (AB)T = BTAT. | Card: 15 / 20 |
| True | Card: 16 / 20 |
| If A is a matrix of order 3 x 2, what is the order of its transpose? | Card: 17 / 20 |
| 2 x 3 | Card: 18 / 20 |
| If an n x n matrix A has a trace of 10 and another matrix B has a trace of 5, what is the trace of A + B? | Card: 19 / 20 |
| 15 | Card: 20 / 20 |
| Completed! Keep practicing to master all of them. |  Restart |
