1
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'
2
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
3
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
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following in respect of matrices A and B of same order.

1. A2 $$-$$ B2 = (A + B) (A $$-$$ B)

2. (A $$-$$ I) (I + A) = O $$ \Leftrightarrow $$ A2 = I

where, I is the identity matrix and O is the null matrix.

Which of the above is/are correct?
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
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