G GWS New member Joined Jan 15, 2006 Messages 25 Jan 17, 2006 #1 How do I solve the following system using Cramer's Rule? Also, who is Cramer? T + D = 41/3 T - D = 29/12
How do I solve the following system using Cramer's Rule? Also, who is Cramer? T + D = 41/3 T - D = 29/12
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,203 Jan 17, 2006 #2 Gabriel Cramer was a Swiss mathematician who lived from 1704 to 1752. He got killed falling from a carriage at the age of 48. Let A=\(\displaystyle \left[\begin{array}{cc}1&1\\\1&-1\end{array}\right]\) \(\displaystyle A_{2}=\left[\begin{array}{cc}1&\frac{41}{3}\\\1&\frac{29}{12}\end{array}\right]\) \(\displaystyle A_{1}=\left[\begin{array}{cc}\frac{41}{3}&1\\\frac{29}{12}&-1\end{array}\right]\) Now take: \(\displaystyle \frac{Det(A_{1})}{Det(A)}=x_{1}\)and \(\displaystyle \frac{Det(A_{2})}{Det(A)}=x_{2}\)
Gabriel Cramer was a Swiss mathematician who lived from 1704 to 1752. He got killed falling from a carriage at the age of 48. Let A=\(\displaystyle \left[\begin{array}{cc}1&1\\\1&-1\end{array}\right]\) \(\displaystyle A_{2}=\left[\begin{array}{cc}1&\frac{41}{3}\\\1&\frac{29}{12}\end{array}\right]\) \(\displaystyle A_{1}=\left[\begin{array}{cc}\frac{41}{3}&1\\\frac{29}{12}&-1\end{array}\right]\) Now take: \(\displaystyle \frac{Det(A_{1})}{Det(A)}=x_{1}\)and \(\displaystyle \frac{Det(A_{2})}{Det(A)}=x_{2}\)
G GWS New member Joined Jan 15, 2006 Messages 25 Jan 17, 2006 #3 ok Thank you for your help and for the information regarding Cramer's life.
