HP 49g manual Using the numerical solver for linear systems, 2x1 + 3x2 -5x3=

This system of linear equations can be written as a matrix equation, An⋅ m⋅xm⋅ 1 = bn⋅ 1, if we define the following matrix and vectors:

	a	a		a			x			b	
	11	12	L	1m 			1			1	
A =  a21		a22		a2 m 		, x = 	x2 		, b =  b2		
											
		aMn 2									
 aMn1			O	aMnm  n⋅ m			xm  m⋅ 1		 bn		 n⋅ 1

Using the numerical solver for linear systems

There are many ways to solve a system of linear equations with the calculator.

One possibility is through the numerical solver		. From the numerical
solver screen, shown below (left), select the option		4. Solve lin sys.., and
press	. The following input form will be provide (right):

stack level@@@OK@@@1. Some examples follow. @SOLVE‚Ï The system of linear equations

To solve the linear system A⋅x = b, enter the matrix A, in the format [[ a11, a12, … ], … [….]] in the A: field. Also, enter the vector b in the B: field.

When the X: field is highlighted, press	. If a solution is available, the
solution vector x will be shown in the X: field. TheMsolution is alsoMcopied to

2x1 + 3x2 –5x3= 13,

x1 – 3x2 + 8x3 = -13, 2x1 – 2x2 + 4x3 = -6,

can be written as the matrix equation A⋅x = b, if

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