If A^2+5 A+3|=0| A , 0, then A^ -1 = ______ - Vidyadip

MCQ

If $A^2+5 A+3|=0| A \mid, \neq 0$, then $A^{-1}=$ ______

✓
$\frac{-1}{3}( A +5 I )$
B
$\frac{-1}{5}( A +3 I )$
C
$(A+15 I)$
D
$\frac{-1}{3}( I +5 A )$

✓

Answer

Correct option: A.

$\frac{-1}{3}( A +5 I )$

If $A^2+5 A+3|=0| A \mid, \neq 0$, then $A^{-1}=\frac{- 1 }{ 3 }( A + 5 I )$

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