Linear Systems

Solving a Linear System

Given the the Linear System:
ax + by = c
dx + ey = f

For a linear system we have two matrixes as input data:

1 - The Matrix of the Coefficients or Matrix A
[ [a b] [d e] ]

2 - the Matrix of Independent Terms or Matrix B
[ [ c ] [ f ] ]

In HP48/49 we write a matrix as:
[ [ row1] [row2] [ row3] ....[rown]]
and to solve the linear system we can follow the steps below,

 Example 1:  Solve the Linear System    2x+3y=2   5x+6y=9 Example 2:   Solve the Linear System    2x+3y+4z=2   5x+2y+3z=3  5x+6y+3z=-9 Press SOLVE  to access the Solve Lin Sys aplication Press SOLVE  to access the Solve Lin Sys aplication Enter the matrixes as shown in the picture Enter the matrixes as shown in the picture Set the browswer bar on the field X and press SOLVE Result  x=5   y=-2.66666666667 Set the browswer bar on the field X and press SOLVE Result  x=.2142854174286  y=-3  z=2.64285714286

 You can also use the Equation Writer to write the matrixes Write the Matrix A Write the Matrix B and see the result

Solving a Linear System of Complex Numbers

 Lets solve the linear system (5+j3)x + 7j y = 8 j6x + (7-j3) x = 3 In HP48/49 syntax we write: (5,3) (0,7) (0,6) (7,-3) Press and    to see the entrance in full screen. Enter the data for independent terms and press SOLVE, in the menu. Press ENTER to see the result on the stack. Press EDIT to best see the result.

 It has become appallingly clear that our technology has surpassed our humanity. - Albert Einstein