It is easy to define a matrix of values in Octave. The size of the matrix is determined automatically, so it is not necessary to explicitly state the dimensions. The expression
a = [1, 2; 3, 4]
results in the matrix
/ \ | 1 2 | a = | | | 3 4 | \ /
Elements of a matrix may be arbitrary expressions, provided that the dimensions all make sense when combining the various pieces. For example, given the above matrix, the expression
[ a, a ]
produces the matrix
ans = 1 2 1 2 3 4 3 4
but the expression
[ a, 1 ]
produces the error
error: number of rows must match near line 13, column 6
(assuming that this expression was entered as the first thing on line 13, of course).
Inside the square brackets that delimit a matrix expression, Octave looks at the surrounding context to determine whether spaces and newline characters should be converted into element and row separators, or simply ignored, so an expression like
a = [ 1 2 3 4 ]
will work. However, some possible sources of confusion remain. For example, in the expression
[ 1 - 1 ]
the `-' is treated as a binary operator and the result is the scalar 0, but in the expression
[ 1 -1 ]
the `-' is treated as a unary operator and the result is the
[ 1, -1 ]. Similarly, the expression
[ sin (pi) ]
will be parsed as
[ sin, (pi) ]
and will result in an error since the
sin function will be
called with no arguments. To get around this, you must omit the space
sin and the opening parenthesis, or enclose the
expression in a set of parentheses:
[ (sin (pi)) ]
Whitespace surrounding the single quote character (`'', used as a
transpose operator and for delimiting character strings) can also cause
a = 1, the expression
[ 1 a' ]
results in the single quote character being treated as a
transpose operator and the result is the vector
[ 1, 1 ], but the
[ 1 a ' ]
produces the error message
error: unterminated string constant
because to not do so would cause trouble when parsing the valid expression
[ a 'foo' ]
For clarity, it is probably best to always use commas and semicolons to separate matrix elements and rows.
Print warning if commas or semicolons might be inserted automatically in literal matrices.
When you type a matrix or the name of a variable whose value is a matrix, Octave responds by printing the matrix in with neatly aligned rows and columns. If the rows of the matrix are too large to fit on the screen, Octave splits the matrix and displays a header before each section to indicate which columns are being displayed. You can use the following variables to control the format of the output.
This variable specifies the maximum width of a numeric output field. The default value is 10.
This variable specifies the minimum number of significant figures to display for numeric output. The default value is 5.
It is possible to achieve a wide range of output styles by using
different values of
output_max_field_width. Reasonable combinations can be set using
format function. See Basic Input and Output.
For large matrices, Octave may not be able to display all the columns of a given row on one line of your screen. This can result in missing information or output that is nearly impossible to decipher, depending on whether your terminal truncates or wraps long lines.
If the value of
split_long_rowsis nonzero, Octave will display the matrix in a series of smaller pieces, each of which can fit within the limits of your terminal width. Each set of rows is labeled so that you can easily see which columns are currently being displayed. For example:octave:13> rand (2,10) ans = Columns 1 through 6: 0.75883 0.93290 0.40064 0.43818 0.94958 0.16467 0.75697 0.51942 0.40031 0.61784 0.92309 0.40201 Columns 7 through 10: 0.90174 0.11854 0.72313 0.73326 0.44672 0.94303 0.56564 0.82150
The default value of
Octave automatically switches to scientific notation when values become
very large or very small. This guarantees that you will see several
significant figures for every value in a matrix. If you would prefer to
see all values in a matrix printed in a fixed point format, you can set
the built-in variable
fixed_point_format to a nonzero value. But
doing so is not recommended, because it can produce output that can
easily be misinterpreted.
If the value of this variable is nonzero, Octave will scale all values in a matrix so that the largest may be written with one leading digit. The scaling factor is printed on the first line of output. For example,octave:1> logspace (1, 7, 5)' ans = 1.0e+07 * 0.00000 0.00003 0.00100 0.03162 1.00000
Notice that first value appears to be zero when it is actually 1. For this reason, you should be careful when setting
fixed_point_formatto a nonzero value.
The default value of