The inverse of the matrix - 5 -2- 3 1 - is

The correct option is A 111[ 1 2; 3 5 ] Let A = #160;[ 5 #160; amp; 2; 3 #160; amp; 1 ] |A| = 5 + 6 = 11 and adj A ...

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Adjoint of a Matrix

The inverse o...

Question

The inverse of the matrix $[\begin{matrix} 5 & - 2 3 & 1 \end{matrix}]$ is

\frac{1}{11} [\begin{matrix} 1 & 2 - 3 & 5 \end{matrix}]

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[\begin{matrix} 1 & 2 - 3 & 5 \end{matrix}]

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\frac{1}{13} [\begin{matrix} - 2 & 5 1 & 3 \end{matrix}]

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[\begin{matrix} 1 & 3 - 2 & 5 \end{matrix}]

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Solution

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Similar questions

\frac{5 + \sqrt{3}}{5 - \sqrt{3}} + \frac{5 - \sqrt{3}}{5 + \sqrt{3}}

\frac{1}{2 + \sqrt{3}} + \frac{2}{\sqrt{5} - \sqrt{3}} + \frac{1}{2 - \sqrt{5}}

\frac{2}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{2}} + \frac{3}{\sqrt{5} + \sqrt{2}}

\frac{- 13}{24} \times (\frac{- 12}{5} \times \frac{35}{36}) = (\frac{- 13}{24} \times \frac{- 12}{5}) \times \frac{35}{36}

\frac{3 \sqrt{2} - 2 \sqrt{3}}{3 \sqrt{2} + 2 \sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}}

\frac{5 + \sqrt{3}}{5 - \sqrt{3}} + \frac{5 - \sqrt{3}}{5 + \sqrt{3}}

\frac{7 + 3 \sqrt{5}}{3 + \sqrt{5}} + \frac{7 - 3 \sqrt{5}}{3 - \sqrt{5}}

\frac{1}{2 + \sqrt{3}} + \frac{2}{\sqrt{5} - \sqrt{3}} + \frac{1}{2 - \sqrt{5}}

\frac{2}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{2}} + \frac{3}{\sqrt{5} + \sqrt{2}}

\frac{7}{15}, \frac{11}{12}, \frac{13}{35}

Verify the following

(i) $\frac{- 12}{5} + \frac{2}{7} = \frac{2}{7} + \frac{- 12}{5}$

(ii) $\frac{- 5}{8} + \frac{- 9}{13} = \frac{- 9}{13} + \frac{- 5}{8}$

(iii) $3 + \frac{- 7}{12} = \frac{- 7}{12} + 3$

(iv) $\frac{2}{- 7} + \frac{12}{- 35} = \frac{12}{- 35} + \frac{2}{- 7}$

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