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Phrases Previous Year Questions (PYQs)

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Phrases PYQ
If A and B are square matrices such that $B=-A^{-1} BA$, then $(A + B)^2$ is





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Phrases Previous Year PYQPhrases NIMCET 2023 PYQ

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Phrases PYQ
If A is an invertible skew-symmetric matrix, then  is a





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Phrases Previous Year PYQPhrases NIMCET 2018 PYQ

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Phrases PYQ
Consider the matrix $$B=\begin{pmatrix}{-1} & {-1} & {2} \\ {0} & {-1} & {-1} \\ {0} & {0} & {-1}\end{pmatrix}$$. The sum of all the entries of the matrix $B^{19}$ is





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Phrases Previous Year PYQPhrases NIMCET 2025 PYQ

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Phrases PYQ
If $F(\theta)=\begin{bmatrix}{\cos \theta} & {-\sin \theta} & {0} \\ {\sin \theta} & {\cos \theta} & {0} \\ {0} & {0} & {1}\end{bmatrix}$ , then $F(\theta)F(\alpha)$ is equal to





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Phrases Previous Year PYQPhrases NIMCET 2021 PYQ

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Phrases PYQ
Let A and B be two square matrices of same order satisfying $A^2+5A+5I =0$ and $B^2+3B+I=0$ repectively. Where I is the identity matrix. Then the inverse of the matrix $C= BA+2B+2A+4I$ is





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Phrases Previous Year PYQPhrases NIMCET 2025 PYQ

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





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Phrases Previous Year PYQPhrases NIMCET 2017 PYQ

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Phrases PYQ
If x, y and z are three cube roots of 27, then  the determinant of the matrix $\begin{bmatrix}{x} & {y} & {z} \\ {y} & {z} & {x} \\ {z} & {x} & {y}\end{bmatrix}$ is 





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Phrases Previous Year PYQPhrases NIMCET 2025 PYQ

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Phrases PYQ
If $A=\begin{bmatrix} a &b &c \\ b & c & a\\ c& a &b \end{bmatrix}$ , where $a, b, c$ are real positive numbers such that $abc = 1$ and $A^{T}A=I$ then the equation that not holds true among the following is





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Phrases Previous Year PYQPhrases NIMCET 2015 PYQ

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Phrases PYQ
If the matrix has an inverse matrix, then the value of K is:





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Phrases Previous Year PYQPhrases NIMCET 2014 PYQ

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Phrases PYQ





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Phrases Previous Year PYQPhrases NIMCET 2020 PYQ

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Phrases PYQ
If $f(x)=\left\{\begin{matrix} \frac{sin[x]}{[x]} &, [x]\ne0 \\ 0 &, [x]=0 \end{matrix}\right.$ , where [x] is the largest integer but not larger than x, then $\lim_{x\to0}f(x)$ is





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Phrases Previous Year PYQPhrases NIMCET 2014 PYQ

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Phrases PYQ
A matrix $M_r$ is defined as $M_r=\begin{bmatrix} r &r-1 \\ r-1&r \end{bmatrix} , r \in N$ then the value of $det(M_1) + det(M_2) +...+ det(M_{2015})$ is





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Phrases Previous Year PYQPhrases NIMCET 2015 PYQ

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