1
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following in respect of the matrix $$A = \left[ {\matrix{ { - 1} & 1 \cr 1 & { - 1} \cr } } \right]$$

1. A2 = $$-$$ A

2. A3 = 4A

Which of the above is/are correct?
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
2
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$A = \left( {\matrix{ { - 2} & 2 \cr 2 & { - 2} \cr } } \right)$$, then which one of the following is correct?
A
$${A^2} = - 2A$$
B
$${A^2} = - 4A$$
C
$${A^2} = - 3A$$
D
$${A^2} = 4A$$
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The matrix A has x rows and x + 5 columns. The matrix B has y rows and 11 $$-$$ y columns. Both AB and BA exist. What are the values of x and y respectively?
A
8 and 3
B
3 and 4
C
3 and 8
D
8 and 8
4
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If A is a square matrix, then the value of adj $${A^T}$$ $$-$$ (adj $${A)^T}$$ is equal to
A
A
B
2 | A| I, where I is the identity matrix
C
null matrix whose order is same as that of A
D
unit matrix whose order is same as that of A
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