11-Determinants

Determinants

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Please explain how to solve this question
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Pls tell this question
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In a classroom, one-fifth of the boys leave the class and the ratio of the remaining boys to girls is 2: 3. If further 44 girls leave the class..?
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if $\Delta$ = \begin{vmatrix} (x-2)^2 & (x-1)^2 & x^2 \\\\(x-1)^2 & x^2 & (x+1)^2 \\\\x^2 & (x+1)^2 & (x+2)^2\end{vmatrix} prove that...?
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Amodini
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If f(x) = \begin{vmatrix} a & -1 & 0 \\\\ax & a & -1 \\\\ax^2 & ax & a\end{vmatrix} then f(3x) - f(2x)
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The value of the determinants \begin{vmatrix}bc & ac & ab \\\\a & b & c \\\\a^3 & b^3 & c^3\end{vmatrix} is
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If A = $\begin{bmatrix} \sin\theta & -\cos\theta \\\\ \cos\theta & \sin\theta \end{bmatrix} $ , then $A(adj A)^{-1}$ equal to
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How to prepare for Determinants for JEE Mains
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why is option d correct?
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Verify A adjA I
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If the adjoint of a $3 \times 3$ matrix $P$ is $\left[\begin{array}{lll}1 & 4 & 4 \\ 2 & 1 & 7 \\ 1 & 1 & 3\end{array}\right]$, then the possible
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AGRIMA M
The least value of the product $x y z$ for which the determinant $\left|\begin{array}{lll}x & 1 & 1 \\ 1 & y & 1 \\ 1 & 1 & z\end{array}\right|$ is
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Promit
Proving the Determinant Product Equals \(\lambda^3(\lambda^2 + a^2 + b^2 + c^2)^3\)
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Let \( A=\left\{a_{i j}\right\} \) be a \( 3 \times 3 \) matrix, where
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Harshgupta
If system of equations $ x+(\sin \alpha) y+\left(\sin ^2 \alpha\right) z=0 $
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Harshgupta
krivit sisodiya
If $\mathbf{A}$ is a square matrix of order $\mathbf{n}$ then,
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Consider the system of linear equations $x+y+z=4 \mu, x+2 y+2 \lambda z=10 \mu, x+3 y+4 \lambda^2 z=\mu^2+15$
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If \(f( n )=|\begin{array}{ccc}n^{2} & (n+1)^{2} & (n+2)^{2} \\ (n+1)^{2} & (n+2)^{2} & (n+3)^{2} \\ (n+2)^{2} & (n+3)^{2} & (n+4)^{2}\end{array}|\)
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Value of \( |A|+|\operatorname{adj} A| \) is equal to \( \qquad \)
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If \( A \) is a square matrix of order 3 such that the value of \( |\operatorname{adj} A|=8 \), then the value of \( \left|A^{T}\right| \) is
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