1. AT=1

2. A=A-1

3. AB=BA

4. (AB)T=BA

4

(AB)^{T}=BA

No Explanation available for this question

1. 0

2. 1

3. 2

4. 3

4

1

No Explanation available for this question

1. S1 and S2 are both true

2. S1 is true, S2 is false

3. S1 is false,S2 is true

4. S1and S2 are both false

4

S_{1} and S_{2} are both true

No Explanation available for this question

1. 3

2. 1

3. 2

4. 4

4

4

No Explanation available for this question

1. Row is the same as its second row

2. Row is the same as the second row of A

3. Column is the same as the second column of A

4. Row is all zero

4

Column is the same as the second column of A

No Explanation available for this question

1. The system has a solution if and only if, both A and the augmented matrix [Ab] have the same rank

2. If m

3. If m = n and b is a non-zero vector, then the system has a unique solution,

4. The system will have only a trivial solution when m = n, b is zero vector and rank(A) = n.

4

If m = n and b is a non-zero vector, then the system has a unique solution,

No Explanation available for this question

1. (0,0,α)

2. (α,0,0)

3. (0,0,1)

4. (0,α,0)

4

(α,0,0)

No Explanation available for this question

1.

2.

3.

4.

4

No Explanation available for this question

1. C-1A1B-1

2. C-1B-1A-1

3. A-1B-1C-1

4. A-1C-1B-1

4

C^{-1}B^{-1}A^{-1}

No Explanation available for this question

1. Both the statements are false.

2. Both the statements are true.

3. I is true but II is false.

4. I is false but II is true.

4

Both the statements are true.

No Explanation available for this question