Let A be an n × n matrix from the set of numbers and A 3 - 3A 2 + 4A - 6I = 0 where I is an n × n unit matrix. If A -1 exists, then

Correct Answer is : A−1=16(A2−3A+4I)

A^{−1} = \frac{1}{6}(A^{2}−3A + 4I)

AAI ATC Junior Executive 26 Dec 2015 Shift 2 Paper

Question : 100 of 120

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Let A be an n × n matrix from the set of numbers and A³ - 3A² + 4A - 6I = 0 where I is an n × n unit matrix. If A^-1 exists, then

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