If A = [ * 20 c 5&2 3&1 ],then A^ - 1 = - Vidyadip

MCQ

If $A = \left[ {\begin{array}{*{20}{c}}5&2\\3&1\end{array}} \right],$then ${A^{ - 1}}$=

A
$\left[ {\begin{array}{*{20}{c}}1&{ - 2}\\{ - 3}&5\end{array}} \right]$
✓
$\left[ {\begin{array}{*{20}{c}}{ - 1}&2\\3&{ - 5}\end{array}} \right]$
C
$\left[ {\begin{array}{*{20}{c}}{ - 1}&{ - 2}\\{ - 3}&{ - 5}\end{array}} \right]$
D
$\left[ {\begin{array}{*{20}{c}}1&2\\3&5\end{array}} \right]$

✓

Answer

Correct option: B.

$\left[ {\begin{array}{*{20}{c}}{ - 1}&2\\3&{ - 5}\end{array}} \right]$

b
(b) Since $\left[ {\begin{array}{*{20}{c}}5&2\\3&1\end{array}} \right]\,\left[ {\begin{array}{*{20}{c}}{ - 1}&2\\3&{ - 5}\end{array}} \right]\, = \left[ {\begin{array}{*{20}{c}}1&0\\0&1\end{array}} \right]$.

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