a. Find the \(n^{th}\) term and sum to \(n\) terms of the series: \(1.3 + 2.4 + 3.5 + \ldots\) b. Show that \(u = \begin{bmatrix} 6 \\ -5…
BCA Mathematics - 1 · 2026 · Solved Question with Answer
a. Find the \(n^{th}\) term and sum to \(n\) terms of the series: \(1.3 + 2.4 + 3.5 + \ldots\)
b. Show that \(u = \begin{bmatrix} 6 \\ -5 \end{bmatrix}\) is an eigenvector, but \(v = \begin{bmatrix} 3 \\ -2 \end{bmatrix}\) is not an eigenvector of the matrix \(A = \begin{bmatrix} 1 & 6 \\ 5 & 2 \end{bmatrix}\).