1

WB JEE 2021

MCQ (Single Correct Answer)

+1

-0.25

Let $$A = \left( {\matrix{
1 & 0 & 0 \cr
0 & {\cos t} & {\sin t} \cr
0 & { - \sin t} & {\cos t} \cr
} } \right)$$

Let $$\lambda$$

Let $$\lambda$$

_{1}, $$\lambda$$_{2}, $$\lambda$$_{3}be the roots of $$\det (A - \lambda {I_3}) = 0$$, where I_{3}denotes the identity matrix. If $$\lambda$$_{1}+ $$\lambda$$_{2}+ $$\lambda$$_{3}= $$\sqrt 2 $$ + 1, then the set of possible values of t, $$-$$ $$\pi$$ $$\ge$$ t < $$\pi$$ is2

WB JEE 2021

MCQ (Single Correct Answer)

+1

-0.25

Let A and B two non singular skew symmetric matrices such that AB = BA, then A

^{2}B^{2}(A^{T}B)^{$$-$$1}(AB^{$$-$$1})^{T}is equal to3

WB JEE 2021

MCQ (Single Correct Answer)

+1

-0.25

If a

$$\left| {\matrix{ {\log {a_n}} & {\log {a_{n + 1}}} & {\log {a_{n + 2}}} \cr {\log {a_{n + 3}}} & {\log {a_{n + 4}}} & {\log {a_{n + 5}}} \cr {\log {a_{n + 6}}} & {\log {a_{n + 7}}} & {\log {a_{n + 8}}} \cr } } \right|$$ is equal to

_{n}(> 0) be the n^{th}term of a G.P. then$$\left| {\matrix{ {\log {a_n}} & {\log {a_{n + 1}}} & {\log {a_{n + 2}}} \cr {\log {a_{n + 3}}} & {\log {a_{n + 4}}} & {\log {a_{n + 5}}} \cr {\log {a_{n + 6}}} & {\log {a_{n + 7}}} & {\log {a_{n + 8}}} \cr } } \right|$$ is equal to

4

WB JEE 2021

MCQ (Single Correct Answer)

+1

-0.25

Let T and U be the set of all orthogonal matrices of order 3 over R and the set of all non-singular matrices of order 3 over R respectively. Let A = {$$-$$1, 0, 1}, then

Questions Asked from Matrices and Determinants (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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