1
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$A = \left[ {\matrix{ 0 & 1 \cr 1 & 0 \cr } } \right]$$, then the value of A4 is
A
$$\left[ {\matrix{ 1 & 0 \cr 0 & 1 \cr } } \right]$$
B
$$\left[ {\matrix{ 1 & 1 \cr 0 & 0 \cr } } \right]$$
C
$$\left[ {\matrix{ 0 & 0 \cr 1 & 1 \cr } } \right]$$
D
$$\left[ {\matrix{ 0 & 1 \cr 1 & 0 \cr } } \right]$$
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A square matrix A is called orthogonal, if

where A' is the transpose of A
A
A = A2
B
A' = A$$-$$1
C
A = A$$-$$1
D
A = A'
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If A and B are two invertible square matrices of same order, then what is (AB)$$-$$1 equal to?
A
B$$-$$1 A$$-$$1
B
A$$-$$1 B$$-$$1
C
B$$-$$1 A
D
A$$-$$1 B
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following in respect of matrices A, B and C of same order.

1. (A + B + C)' = A' + B' + C'

2. (AB)' = A' B'

3. (ABC)' = C' B' A'

Where, A' is the transpose of the matrix A. Which of the above are correct?
A
1 and 2
B
2 and 3
C
1 and 3
D
1, 2 and 3
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