1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\left[ {\matrix{ x & { - 3i} & 1 \cr y & 1 & i \cr 0 & {2i} & { - i} \cr } } \right] = 6 + 11i$$, then what are the values of x and y respectively?
A
$$-$$3, 4
B
3, 4
C
3, $$-$$4
D
$$-$$3, $$-$$4
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If A is an identity matrix of order 3, then its inverse (A$$-$$1)
A
is equal to null matrix
B
is equal to A
C
is equal to 3A
D
does not exist
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
A is a square matrix of order 3 such that its determinant is 4. What is the determinant of its transpose?
A
64
B
36
C
32
D
4
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Let $A$ and $B$ be matrices of order $3 \times 3$. If $|A| = \frac{1}{2 \sqrt{2}}$ and $|B| = \frac{1}{729}$, then what is the value of $|2B(adj(3A))|$?

A

27

B

$\frac{-27}{2\sqrt{2}}$

C

$\frac{27}{2}$

D

1

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