CUET UG Mathematics Applied Determinants Previous Year Question Paper and Solution with PDF

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CUET UG Mathematics Applied
Previous Year Questions

CUET UG Mathematics Applied
Previous Year Questions
CUET UG Mathematics Applied

CUET UG Mathematics Applied Previous Year Questions (PYQs)

CUET UG Mathematics Applied Determinants PYQ

Qus : 1 CUET UG Mathematics Applied PYQ

If A is a square matrix of order $4$ and |A|=4, then |2A| will be:

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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2024 Mathematics PYQ

Solution

Qus : 2 CUET UG Mathematics Applied PYQ

If $A=\begin{bmatrix}2 & 1 & 0 \\ 3 & 1 & 2 \\ 0 & 4 & -1\end{bmatrix}$, then $|adj(A)|$ is equal to:

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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2022 Applied Mathematics PYQ

Solution

First find $|A|$. $|A|=\begin{vmatrix}2 & 1 & 0 \\ 3 & 1 & 2 \\ 0 & 4 & -1\end{vmatrix}$ Expand along first row: $|A|=2\begin{vmatrix}1 & 2 \\ 4 & -1\end{vmatrix}-1\begin{vmatrix}3 & 2 \\ 0 & -1\end{vmatrix}$ $=2(1(-1)-2\times4)-1(3(-1)-0)$ $=2(-1-8)-(-3)$ $=-18+3$ $=-15$ Property: $|adj(A)|=|A|^{n-1}$ Here $n=3$. $|adj(A)|=(-15)^{2}=225$