1
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If one of the cube roots of 1 be $$\omega$$, then $$\left| {\matrix{ 1 & {1 + {\omega ^2}} & {{\omega ^2}} \cr {1 - i} & { - 1} & {{\omega ^2} - 1} \cr { - i} & { - 1 + \omega } & { - 1} \cr } } \right| = $$

A
$$\omega$$
B
i
C
1
D
0
2
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

$$\left| {\matrix{ {a - b} & {b - c} & {c - a} \cr {b - c} & {c - a} & {a - b} \cr {c - a} & {a - b} & {b - c} \cr } } \right| = $$

A
0
B
$$-$$1
C
1
D
2
3
WB JEE 2012
MCQ (Single Correct Answer)
+1
-0.33
$$P = \left[ {\matrix{ 1 & 2 & 1 \cr 1 & 3 & 1 \cr } } \right],Q = P{P^T}$$, then the value of determinant of Q is
A
2
B
$$-$$2
C
1
D
0
4
WB JEE 2026
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If $f(x)=\frac{1+x}{1-x}$ and $A$ is a matrix such that $A^3=0$, then $f(A)=$

A

$1+2 \mathrm{~A}+2 \mathrm{~A}^2$

B

$1+2 A+A^2$

C

$1-2 \mathrm{~A}+\mathrm{A}^2$

D

$1+A+A^2$

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