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Matrices a and B satisfy AB=B^(-1), wher...

Matrices a and B satisfy `AB=B^(-1)`, where `B=[(2,-1),(2,0)]`. Find
(i) without finding `B^(-1)`, the value of K for which
`KA-2B^(-1)+I=O`.
(ii) without finding `A^(-1)`, the matrix X satifying `A^(-1) XA=B`.

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To solve the given problem step by step, let's break it down into two parts as specified. ### Part (i): Finding the value of K We are given the equation: \[ KA - 2B^{-1} + I = O \] ...
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