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Maths-

General

Easy

Question

If a matrix A is such that3A³+ 2A²+ 5A + I = 0, then A^–1is equal to-

– (3 A²+2 A + 5)
(3 A²+2 A + 5)
3 A² – 2 A – 5)
none of these

The correct answer is: none of these

We are given with matrix A and we need to find $A to the power of negative 1 end exponent$
$3 A cubed plus 2 A squared plus 5 A plus I equals 0 space 3 A cubed space plus space 2 A squared plus space 5 A plus A A to the power of negative 1 end exponent equals 0 space A to the power of negative 1 end exponent space equals negative 3 A squared space space minus 2 A minus 5$

Therefore the correct option is choice 1

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