Paragraph: Consider matrix A = [ array ccc x ^2 & 0 & 0 0 & - x & 0 0 & 0 & 1 array ] ; B = [ array ccc 3 & 0 & 0 0 & 3 & 0 0 & 0 & 4 array ] Let C = AB , aligned & D = B - I & X = D ⁻¹+ D ⁻²+ D ⁻³+ + D ^ - n . aligned As n approaches to infinity matrix X tends to matrix Y . Let Y + Z = I . f ( x )= trace of matrix C . g(x)= array ll f(x), & x 0 h(x), & x 0 array . , where g(x) is an odd function. On the basis of abo

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aligned & C = [ array ccc 3 x ^2 & 0 & 0 0 & -3 x & 0 0 & 0 & 4 array ] & D = [ array lll 3 & 0 & 0 0 & 3 & 0 0 & 0 & 4 array ]- [ array lll 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 array ]= [ array lll 2 & 0 & 0 0 & 2 & 0 0 & 0 & 3 array ] & D ⁻¹= [ array lll 1 2 & 0 & 0 0 & 1 2 & 0 0 & 0 & 1 3 array ] & Y = [ array lll 1 2 & 0 & 0 0 & 1 2 & 0 0 & 0 & 1 3 array ]+ [ array lll 1 2^2 & 0 & 0 0 & 1 2^2 & 0 0 & 0 & 1 3^2 array ]+ aligned (infinitely many terms) Y= [ array ccc 1 2 1- 1 2 & 0 & 0 0 & 1 2 1- 1 2 & 0 0 & 0 & 1 3 1-