Let A = [ 1 0 2 1 ] and B = I + adj ( A ) + ( adj A ) 2 + … + ( adj A ) 10 . Then, the sum of all the elements of the matrix B is:

Question

Let A = [ 1 0 ​ 2 1 ​ ] and B = I + adj ( A ) + ( adj A ) 2 + … + ( adj A ) 10 . Then, the sum of all the elements of the matrix B is:

TestHub · Accepted Answer

​ B = [ 1 0 ​ 0 1 ​ ] + [ 1 0 ​ − 2 1 ​ ] + [ 1 0 ​ − 4 1 ​ ] + … + [ 1 0 ​ − 20 1 ​ ] B = [ 11 0 ​ − 110 11 ​ ] ⇒ sum of elements of B = − 88 ​

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