Q. 154.8( 4 Votes )

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

Answer :

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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