High School

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Find the rank of the matrix:

\[
\begin{bmatrix}
91 & 92 & 93 & 94 & 95 \\
92 & 93 & 94 & 95 & 96 \\
93 & 94 & 95 & 96 & 97 \\
94 & 95 & 96 & 97 & 98 \\
95 & 96 & 97 & 98 & 99
\end{bmatrix}
\]

Answer :

Final answer:

The rank of the given matrix is 5.

Explanation:

To find the rank of a matrix, we need to perform row operations to simplify the matrix to its row echelon form. The rank of the matrix will then be equal to the number of non-zero rows in the row echelon form.

In this case, the matrix is already in row echelon form with 5 non-zero rows. Therefore, the rank of the matrix is 5.

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