1 |
If A is a square matrix, then: |
|A<sup>t</sup>| = A
|A<sup>t</sup>| = -A
|A<sup>t</sup>| = |A|
A<sup>t</sup>= A
|
2 |
If any two rows of a square matrix are interchanged, the determinant of the resulting matrix: |
is zero
is multiplicative inverse of the determinant of the original matrix
is additive inverse of the determinant the original matrix
none of these
|
3 |
If each element in any row or each element in any column of a square matrix is zero, then value of the determinant is: |
0
1
-1
none of these
|
4 |
|
9
-9
-6
none
|
5 |
|
3
-3
1/3
-1/3
|
6 |
If two rows (or two columns) in a square matrix are identical (i.e. corresponding elements are equal), the value of the determinant is: |
0
1
-1
±1
|
7 |
|
5
14
20
6
|
8 |
|
2
-2
5
-5
|
9 |
|
40
-40
26
-26
|
10 |
|
1
-5
-1
none
|
11 |
Minors and co-factors of the elements in a determinant are equal in magnitude but they may differ in: |
order
position
sign
symmetry
|
12 |
If AB = BA = I, then A and B are: |
equal to each other
multiplicative inverse of each other
additive inverse of each other
both singular
|
13 |
A-1 exists if A is: |
singular
nonsingular
symmetric
none
|
14 |
|
zero
non-singular
singular
none of these
|
15 |
If A is non singular matrix then At is: |
singular
nonsingular
symmetric
none
|
16 |
|
ab - cd = 0
ac - bd = 0
ad - bc = 1
ad - bc = 0
|
17 |
|
diagonal matrix
|
18 |
If A and B are two matrices, then: |
A B = O
AB = BA
AB = I
AB may not be defined
|
19 |
If A is a square matrix, then A - At is: |
|
20 |
If A is a square matrix, then A + At is: |
|