Question:

Let $A=\begin{pmatrix}1 & 0 & 0 \\ 0 & 4 & -1 \\ 0 & 12 & -3\end{pmatrix}$ Then the sum of the diagonal elements of the matrix $(A+I)^{11}$ is equal to :

Updated On: Aug 22, 2024
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The Correct Option is D

Solution and Explanation







Sum of diagonal elements
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Concepts Used:

Matrix Transformation

The numbers or functions that are kept in a matrix are termed the elements or the entries of the matrix.

Transpose Matrix:

The matrix acquired by interchanging the rows and columns of the parent matrix is termed the Transpose matrix. The definition of a transpose matrix goes as follows - “A Matrix which is devised by turning all the rows of a given matrix into columns and vice-versa.”