Matrices

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Write A^-1 for A = $[\begin{matrix} 2 & 5 \\ 1 & 3 \end{matrix}]$

Solution

$A = [\begin{matrix} 2 & 5 \\ 1 & 3 \end{matrix}] A^{- 1} = \frac{1}{|A|} [\begin{matrix} 3 & - 5 \\ - 1 & 2 \end{matrix}] = \frac{1}{[(2 x 3) - (1 x 5)]} [\begin{matrix} 3 & - 5 \\ - 1 & 2 \end{matrix}] = \frac{1}{6 - 5} [\begin{matrix} 3 & - 5 \\ - 1 & 2 \end{matrix}] A^{- 1} = [\begin{matrix} 3 & - 5 \\ - 1 & 2 \end{matrix}]$

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Matrices

Write A^-1 for A = $[\begin{matrix} 2 & 5 \\ 1 & 3 \end{matrix}]$

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For Daily Free Study Material Join wiredfaculty

Matrices

Write A-1 for A = 2 51 3

Some More Questions From Matrices Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Write A^-1 for A = $[\begin{matrix} 2 & 5 \\ 1 & 3 \end{matrix}]$