Maths-
General
Easy
Question
If a matrix A is such that3A3 + 2A2 + 5A + I = 0, then A–1 is 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](data:image/png;base64,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)
![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](data:image/png;base64,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)
Therefore the correct option is choice 1
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