Hp 49g+ User Manual download pdf (Page 338)

Page 11-16

The implementation of function LCXM for this case requires you to enter:

2`3`‚@@P1@@ LCXM `

The following figure shows the RPN stack before and after applying function

LCXM:

In ALG mode, this example can be obtained by using:

The program P1 must still have been created and stored in RPN mode.

Solution of linear systems

A system of n linear equations in m variables can be written as

a

11

⋅x

1

+ a

12

⋅x

2

+ a

13

⋅x

3

+ …+ a

1,m-1

⋅x

m-1

+ a

1,m

⋅x

m

= b

1

,

a

21

⋅x

1

+ a

22

⋅x

2

+ a

23

⋅x

3

+ …+ a

2,m-1

⋅x

m-1

+ a

2,m

⋅x

m

= b

2

,

a

31

⋅x

1

+ a

32

⋅x

2

+ a

33

⋅x

3

+ …+ a

3,m-1

⋅x

m-1

+ a

3,m

⋅x

m

= b

3

,

. . . … . . .

. . . … . . .

a

n-1,1

⋅x

1

+ a

n-1,2

⋅x

2

+ a

n-1,3

⋅x

3

+ …+ a

n-1,m-1

⋅x

m-1

+ a

n-1,m

⋅x

m

= b

n-1

,

a

n1

⋅x

1

+ a

n2

⋅x

2

+ a

n3

⋅x

3

+ …+ a

n,m-1

⋅x

m-1

+ a

n,m

⋅x

m

= b

n

.

This system of linear equations can be written as a matrix equation, A

n

×

m

⋅x

m

×

1

= b

n

×

1

, if we define the following matrix and vectors:

mn

nmnn

m

m

aaa

aaa

aaa

A

×

























=

L

MOMM

L

L

21

22221

11211

,

1

2

1

×

























=

m

m

x

x

x

x

M

,

1

2

1

×

























=

n

n

b

b

b

b

M

1 2 ... 333 334 335 336 337 338 339 340 341 342 343 ... 861 862

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