Owner's manual
Table Of Contents
- Material covered
- The HP 49G documentation set
- Chapter 1
- Entering commands
- Keyboard entry
- Subject-specific menus
- Displaying system Flags
- Setting and clearing Flags
- User Flags
- Chapter 3
- Command line operations
- Activating the command line
- Positioning the cursor
- Helpful commands and sub-menus
- Selecting characters
- Copy, cut, and paste
- Editing the command Line
- Command Line information
- Chapter 4
- Using the stack
- Example stack calculations
- Chapter 5
- Matrices and linear algebra
- Matrix Writer operations
- Advanced matrix operations
- Creating special matrices
- Assembling matrices
- To assemble a matrix by rows From a series of vectors
- To assemble a matrix by columns From a series of vectors
- To assemble a matrix with a particular diagonal From a vector
- To assemble a matrix From a sequence oF elements
- To disassemble a matrix into its elements
- To disassemble a matrix into row vectors
- To disassemble a matrix into column vectors
- To extract the vector oF diagonals From a matrix
- To insert one or more new rows into a matrix
- To insert one or more new columns into an array
- To extract a particular row From an array
- To extract a particular column From an array
- Swapping rows and columns
- Extracting and replacing elements oF matrices
- More matrix arithmetic
- To change the sign of each element in a matrix
- To multiply a matrix and vector
- To divide an array by a square matrix
- To combine two real matrices into a complex matrix
- To split a complex matrix into two real matrices
- To conjugate each element of a complex matrix
- To extract the matrix of real parts from a complex matrix
- To extract the matrix of imaginary parts From a complex matrix
- Eigenvalues and eigenvectors
- To compute the eigenvalues For a square matrix
- To compute the eigenvalues and eigenvectors For a square matrix
- To compute the singular values oF a matrix
- To decompose or factor a matrix
- Overview of the Units application
- Unit objects
- Converting units
- Calculating with units
- Working with temperature units
- Chapter 7 Constants Library
- To view the constants library
- To copy a constant to the stack or history
- To include a constant in an algebraic expression
- Chapter 8 Number bases
- Entering and displaying binary integers
- To set the base
- To set the wordsize
- To recall the current wordsize
- To enter a binary integer
- To add, subtract, multiply, or divide two binary integers
- To find the negative of a binary integer
- To convert a binary integer to a diFFerent number base
- To convert a binary integer to a real number
- To convert a real number to a binary integer
- Using Boolean operators
- Manipulating bits and bytes
- List Processing
- Applying a Function or program to a List
- List Manipulations
- Chapter 10
- Advanced plotting options Labelling and relocating the axes
- Plotting programs
- Plotting range vs. display range
- To check the current size oF PICT
- To use computed values for plotting or display ranges
- Saving and Restoring Plots
- Chapter 11
- How memory is structured
- Accessing port contents
- Backup objects
- Using data in backup objects
- How the HP 49G manages memory
- To list a port’s contents, and find Free memory
- Chapter 12
- Date and time arithmetic Date and time Formats
- Date and time tools
- Calculating with dates
- Calculating with times
- Chapter 13 Customization
- Creating menus
- User mode
- Chapter 14
- Computer Algebra Commands
- Alphabetical command list
- 1 q
- Index
To decompose or factor a matrix
The HP 49G offers a set of matrix decomposition and factorization tools
that you can use either alone or in program routines to solve specialized
problems. These tools are explained in the following table:
Keys
Description
H (MATRICES) FACTORIZATION LU
Grout LU Decomposition. This
procedure is used in the process of
solving an exactly-determined system
of linear equations, inverting a matrix,
and computing the determinant of a
square matrix. It factors the square
matrix (A) into a lower-triangular
matrix L, an upper-triangular matrix U
containing ones on its diagonal, and a
permutation matrix P such that
PA = LU.
R (MATRICES) FACTORIZATION LO
LQ Factorization. This command
factors an m x n matrix A into an m x n
lower trapezoidal matrix L, an n x n
orthogonal matrix Q, and an m x m
permutation matrix P such that
PA = LQ.
(^] (MATRICES) FACTORIZATION OR
QR Factorization. This command
factors an m x n matrix A into an m x
m orthogonal matrix Q, an m x n upper
trapezoidal matrix R, and an n x n
permutation matrix P such that
AP = QR.
R (i\ilCB) FACTORIZATION
SCHIIR
Schur Decomposition. This
command factors a square matrix A
into an orthogonal matrix Q and an
upper-triangular matrix (or, if A is real
valued, the upper quasi-triangular
matrix) U such that A = QUQ^ (where
Q^ is the transpose of matrix Q).
Matrices and linear algebra
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