|
 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
|
