if A = [0 1] 2 0

and (A^8 + A^6 + A^4 + A^2 + I) V = [31] 62

(where I is the (2*2) identity matrix) , then the product of all elements of matrix V isplease explain and give me some suggestion that how to solve this

Given, A=0120SO A2=01200120=2002=21001=2I where I is identity matrix.So A8=A24=16I8=16IA6=A23=8IA4=A22=4IA2=2INow putting these value in the given relation, A8+A6+A4+A2+IV=316216I+8I+4I+2I+IV=316231IV=3162310031ab=3162or 31a=31  a= 1and 31b = 62b = 2.
So product = ab= 2.
For solving such types of question try to find identity matrix while multiplying the given matrix.

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