a. If \(A = \begin{pmatrix} 2 & -4 \\ 3 & -2 \\ 0 & 1 \end{pmatrix}\) and \(B = \begin{pmatrix} 1 & -1 & 2 \\ -2 & 1 & 0 \end{pmatrix}\) , show that…
BCA Mathematics - 1 · 2026 · Solved Question with Answer
a. If \(A = \begin{pmatrix} 2 & -4 \\ 3 & -2 \\ 0 & 1 \end{pmatrix}\) and \(B = \begin{pmatrix} 1 & -1 & 2 \\ -2 & 1 & 0 \end{pmatrix}\), show that \((AB)^T = B^T A^T\).
b. Find the equation of the circle which is concentric with the circle, \(x^2 + y^2 - 8x + 12y + 15 = 0\) and passes through (5, 4).