NIMCET Matrices Previous Year Question Paper and Solution with PDF

NIMCET Previous Year Questions (PYQs) – Matrices – Page 1 of 2

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Previous Year Questions

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Previous Year Questions
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Qus : 1

If A and B are square matrices such that

B = - A^{- 1} B A

, then

(A + B)^{2}

Video Solution Discussion

Qus : 2

A = [\begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 1 \\ 0 & - 2 & 4 \end{matrix}]

and

6 A^{- 1} = A^{2} + c A + d I

, where

A^{- 1}

is A- inverse, I is the identify matrix, then (c, d) is

Video Solution Discussion

Qus : 3

If A is an invertible skew-symmetric matrix, then

is a

Video Solution Discussion

Qus : 4

Consider the matrix

B = (\begin{matrix} - 1 & - 1 & 2 \\ 0 & - 1 & - 1 \\ 0 & 0 & - 1 \end{matrix})

. The sum of all the entries of the matrix

B^{19}

Video Solution Discussion

Qus : 5

F (θ) = [\begin{matrix} \cos θ & - \sin θ & 0 \\ \sin θ & \cos θ & 0 \\ 0 & 0 & 1 \end{matrix}]

, then

F (θ) F (α)

is equal to

Video Solution Discussion

Qus : 6

Let A and B be two square matrices of same order satisfying

A^{2} + 5 A + 5 I = 0

and

B^{2} + 3 B + I = 0

repectively. Where I is the identity matrix. Then the inverse of the matrix

C = B A + 2 B + 2 A + 4 I

Video Solution Discussion

Qus : 7

Find a matrix X such that 2A + B + X = 0, whose A =

and B =

Video Solution Discussion

Qus : 8

If x, y and z are three cube roots of 27, then the determinant of the matrix

[\begin{matrix} x & y & z \\ y & z & x \\ z & x & y \end{matrix}]

Video Solution Discussion

Qus : 9

and

, then f(A)=

Video Solution Discussion

Qus : 10

A = [\begin{matrix} a & b & c \\ b & c & a \\ c & a & b \end{matrix}]

, where

a, b, c

are real positive numbers such that

a b c = 1

and

A^{T} A = I

then the equation that not holds true among the following is

Video Solution Discussion

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