Matrix A such that \[{{A}^{2}}=2A-I\], where I is the identity matrix, then for \[n\ge 2,\text{ }{{\text{A}}^{n}}\] is equal to

Matrix A such that \[{{A}^{2}}=2A-I\], where I is the identity matrix,

1.	Matrix A such that \[{{A}^{2}}=2A-I\], where I is the identity matrix, then for \[n\ge 2,\text{ }{{\text{A}}^{n}}\] is equal to
A.	\[{{2}^{n-1}}A-(n-1)I\]
B.	\[{{2}^{n-1}}A-I\]
C.	\[nA-(n-1)I\]
D.	\[nA-I\]
Answer» D. \[nA-I\]

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Matrix A such that \[{{A}^{2}}=2A-I\], where I is the identity matrix, then for \[n\ge 2,\text{ }{{\text{A}}^{n}}\] is equal to

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