# Show that the matrix satisfies the equation A3 – 4A2 + A = O.

Given : Matrix A is of order 2 2.

To show : A3 - 4A2 + A = 0

Formula used : Where cij = ai1b1j + ai2b2j + ai3b3j + ……………… + ainbnj

A2 and A3 are matrices of order 2 x 2.

A2 = = = A2 = A3 = = = A3 = 4A2 = 4 × = 4A2 = A3 - 4A2 + A = + = = A3 - 4A2 + A = 0

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