1
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If $$p = \left[ {\matrix{ 1 & \alpha & 3 \cr 1 & 3 & 3 \cr 2 & 4 & 4 \cr } } \right]$$ is the adjoint of the $$3 \times 3$$ matrix A and det A = 4, then $$\alpha$$ is equal to

A
4
B
11
C
5
D
0
2
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If $$A = \left( {\matrix{ 1 & 1 \cr 0 & i \cr } } \right)$$ and $${A^{2018}} = \left( {\matrix{ a & b \cr c & d \cr } } \right)$$, then $$(a + d)$$ equals

A
1 + i
B
0
C
2
D
2018
3
WB JEE 2022
MCQ (Single Correct Answer)
+2
-0.5
Change Language

The solution of $$\det (A - \lambda {I_2}) = 0$$ be 4 and 8 and $$A = \left( {\matrix{ 2 & 2 \cr x & y \cr } } \right)$$. Then

(I2 is identity matrix of order 2)

A
$$x = 4,y = 10$$
B
$$x = 5,y = 8$$
C
$$x = 3,y = 9$$
D
$$x = - 4,y = 10$$
4
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If M is a 3 $$\times$$ 3 matrix such that (0, 1, 2) M = (1 0 0), (3, 4 5) M = (0, 1, 0), then (6 7 8) M is equal to
A
(2 1 $$-$$2)
B
(0 0 1)
C
($$-$$1 2 0)
D
(9 10 8)
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