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

Matrix calculations are often sensitive to special characteristics of the
matrices used. The HP 49G has a number of commands that return
characteristics of matrices. Note that some commands are only defined
for square matrices, some for any rectangular matrix.
Commands For characterizing matrices
Characterizing matrices
Keys
Description
R (MATRICES) OPERATIONS SIZE
Returns the dimensions of the array
(that is, the niunber of rows and
number of colimms).
R (WiCB) OPERATIONS ABS
Returns the Frobenius norm of a matrix
and the Euclidean length of a vector:
the square root of the sums of the
squares of the absolute values of the
elements.
0 (MAil0 OPERATIONS SNRM
Returns the spectral nonn of a matrix.
The spectral nonn of a matrix is equal
to the largest singular value of the
matrix. Same as ABS for a vector.
R (MATRICES) OPERATIONS RNRM
Returns the row norm of a matrix. The
row nonn of a matrix is the maximum
value (over all rows) of the siuns of the
absolute values of all elements in a row.
The row norm of a vector is the
maximiun absolute value of its
elements.
R (MATRICES) OPERATIONS CNRM
Returns the colunm nonn of a matrix.
The colunm nonn of a matrix is the
maximum value (over all columns) of
the suiTO of the absolute values of all
elements in a column. The colunm
nonn of a vector is the sum of the
absolute values of its elements.
Page 5-14
Matrices and linear algebra