Find the adjoint of the matrices. [1234] - Mathematics

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Find the adjoint of the matrices.

$[\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}]$

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उत्तर

Here A $= [\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}]$ then

adj A = ${[\begin{matrix} A_{11} & A_{12} \\ A_{21} & A_{22} \end{matrix}]}^{T}$

$= {[\begin{matrix} 4 & - 3 \\ - 2 & 1 \end{matrix}]}^{T} ... [\begin{matrix} A_{11} = 4 & A_{12} = - 3 \\ A_{21} = - 2 & A_{22} = 1 \end{matrix}]$

$= [\begin{matrix} 4 & - 2 \\ - 3 & 1 \end{matrix}]$

Hence, adjoint matrix of $[\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}]$ = $[\begin{matrix} 4 & - 2 \\ - 3 & 1 \end{matrix}]$

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अध्याय 4: Determinants - Exercise 4.5 [पृष्ठ १३१]

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अध्याय 4 Determinants
Exercise 4.5 | Q 1 | पृष्ठ १३१

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Find the adjoint of the matrices. [1234] - Mathematics

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