On the set $M = A (x) = {[\times \times] : x \in R} o f 2 x 2$ matrices, find the identity element for the multiplication of matrices as a binary operation. Also, find the inverse of an element of M.

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On the set

M = A (x) = {[\times \times] : x \in R} o f 2 x 2

matrices, find the identity element for the multiplication of matrices as a binary operation. Also, find the inverse of an element of M.

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Question Text

On the set

M = A (x) = {[\times \times] : x \in R} o f 2 x 2

matrices, find the identity element for the multiplication of matrices as a binary operation. Also, find the inverse of an element of M.

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