Q 1133156042.     If `I` is the identity matrix of order `2` and `A = |(1,1),(0,1)|`, then for `n>=1,` mathematical induction gives

A

`A^n = nA - (n - 1)I`

B

`A^n = nA + (n - 1)I`

C

`A^n= 2^(n-1)A - (n - 1)I`

D

`A^n = 2^nA - (n + 1)I`

HINT

Find `A^1`, `A^2`, `A^3` and use Mathematical Induction to find `A^n`

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