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Mathematics Question on Quadratic Equations

If A = [03 00]\begin{bmatrix} 0 & 3\\\ 0 & 0 \end{bmatrix}and f(x) = x+x2+x3+.....+x2023, then f(A)+I =

A

[00 00]\begin{bmatrix} 0 & 0\\\ 0 & 0 \end{bmatrix}

B

[13 00]\begin{bmatrix} 1 & 3\\\ 0 & 0 \end{bmatrix}

C

[13 01]\begin{bmatrix} 1 & 3\\\ 0 & 1 \end{bmatrix}

D

[13 11]\begin{bmatrix} 1 & 3\\\ 1 & 1 \end{bmatrix}

Answer

[13 01]\begin{bmatrix} 1 & 3\\\ 0 & 1 \end{bmatrix}

Explanation

Solution

The correct option is: (C) [13 01]\begin{bmatrix} 1 & 3\\\ 0 & 1 \end{bmatrix}