N nanted1 New member Joined Jan 30, 2006 Messages 4 Feb 17, 2006 #1 Calculate the determinant of the following matrix using Laplace expansion A= | 5 6 1 | | 2 8 0 | | 1 3 2 | |A|=
Calculate the determinant of the following matrix using Laplace expansion A= | 5 6 1 | | 2 8 0 | | 1 3 2 | |A|=
S soroban Elite Member Joined Jan 28, 2005 Messages 5,584 Feb 17, 2006 #2 Hello, nanted1! Calculate the determinant of the following matrix using Laplace expansion \(\displaystyle \;\;A\;= \;\begin{vmatrix}5&6&1 \\ 2&8&0 \\ 1&3&2\end{vmatrix}\) Click to expand... \(\displaystyle |A|\;=\;5\begin{vmatrix}8&0\\3&2\end{vmatrix}\,-\,6\begin{vmatrix}2&0\\1&2\end{vmatrix}\;+\;1\begin{vmatrix}2&8\\1&3\end{vmatrix}\) \(\displaystyle \;\;\;=\;5(16\,-\,0)\,-\,6(4\,-\,0)\,+\,1(6\,-\,8)\) \(\displaystyle \;\;\;=\;80\,-\,24\,-\,2\) \(\displaystyle \;\;\;=\;54\)
Hello, nanted1! Calculate the determinant of the following matrix using Laplace expansion \(\displaystyle \;\;A\;= \;\begin{vmatrix}5&6&1 \\ 2&8&0 \\ 1&3&2\end{vmatrix}\) Click to expand... \(\displaystyle |A|\;=\;5\begin{vmatrix}8&0\\3&2\end{vmatrix}\,-\,6\begin{vmatrix}2&0\\1&2\end{vmatrix}\;+\;1\begin{vmatrix}2&8\\1&3\end{vmatrix}\) \(\displaystyle \;\;\;=\;5(16\,-\,0)\,-\,6(4\,-\,0)\,+\,1(6\,-\,8)\) \(\displaystyle \;\;\;=\;80\,-\,24\,-\,2\) \(\displaystyle \;\;\;=\;54\)
