1
16kviews
Solve the following equations by matrix inversion method : x + y + z = 6, 3x - y + 3z = 10 , 5x + 5y -4z = 3
1 Answer
written 4.7 years ago by |
Solution:
$Let A=\left[\begin{array}{ccc}{1} & {1} & {1} \\ {3} & {-1} & {3} \\ {5} & {5} & {-4}\end{array}\right] \quad, \quad B=\left[\begin{array}{c}{6} \\ {10} \\ {3}\end{array}\right], \quad X=\left[\begin{array}{c}{x} \\ {y} \\ {z}\end{array}\right]$
$|A|=\left|\begin{array}{ccc}{1} & {1} & {1} \\ {3} & {-1} & {3} \\ {5} & {5} & {-4}\end{array}\right|$
$|A|=1(4-15)-1(-12-15)+1(15+5)$ …