HP (Hewlett-Packard) 50g ユーザーズマニュアル

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Chapter 11 
Matrix Operations and Linear Algebra
In Chapter 10 we introduced the concept of a matrix and presented a number 
of functions for entering, creating, or manipulating matrices.  In this Chapter we 
present examples of matrix operations and applications to problems of linear 
algebra.
Operations with matrices
Matrices, like other mathematical objects, can be added and subtracted.  They 
can be multiplied by a scalar, or among themselves.  They can also be raised to 
a real power.  An important operation for linear algebra applications is the 
inverse of a matrix.  Details of these operations are presented next.
To illustrate the operations we will create a number of matrices that we will store 
in variables.  The generic name of the matrices will be Aij and Bij, where i
represents the number of rows and j the number of columns of the matrices.  The 
matrices to be used are generated by using function RANM (random matrices).  
If you try this exercise in your calculator you will get different matrices than the 
ones listed herein, unless you store them into your calculator exactly as shown 
below.  Here are the matrices A22, B22, A23, B23, A32, B32, A33 and B33 
created in ALG mode:
     
In RPN mode, the steps to follow are: 
{2,2}` R NM ' 22'K    {2,2}` R NM 'B22'K
{2,3}` R NM ' 23'K    {2,3}` R NM 'B23'K
{3,2}` R NM ' 32'K    {3,2}` R NM 'B32'K
{3,3}` R NM ' 33'K    {3,3}` R NM 'B33'K