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TS EAMCET · Maths · Matrices

If \(A=\left[\begin{array}{ll}0 & 5 \\ 0 & 0\end{array}\right]\) and \(f(x)=x+x^2+\ldots+x^{2018}\), then \(f(A)+I=\)

  1. A \(\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right]\)
  2. B \(\left[\begin{array}{ll}1 & 5 \\ 0 & 0\end{array}\right]\)
  3. C \(\left[\begin{array}{ll}0 & 5 \\ 1 & 1\end{array}\right]\)
  4. D \(\left[\begin{array}{ll}1 & 5 \\ 0 & 1\end{array}\right]\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\left[\begin{array}{ll}1 & 5 \\ 0 & 1\end{array}\right]\)

Step-by-step Solution

Detailed explanation

We have,…