SPSS® 12.0 Command Syntax Reference

MATRIX—END MATRIX 927
• The first statement computes a scalar. Note that the braces are optional on a scalar constant.
• The second statement computes the square of the matrix R. R can be any square matrix,
including a scalar.
• The third statement computes a vector named FLAGS, which has the same dimension as the
existing vector EIGENVAL. Each element of FLAGS equals 1 if the corresponding element of
EIGENVAL is greater than or equal to 1, and 0 if the corresponding element is less than 1.
• The fourth statement constructs a matrix ESTIM by concatenating the three vectors or
matrices OBS, PRED, and ERR. The component matrices must have the same number of
rows.
Matrix Functions
The following functions are available in the matrix program. Except where noted, each takes
one or more numeric matrices as arguments and returns a matrix value as its result. The arguments
must be enclosed in parentheses, and multiple arguments must be separated by commas.
On the following list, matrix arguments are represented by names beginning with M.
Unless otherwise noted, these arguments can be vectors or scalars. Arguments that must be
vectors are represented by names beginning with V, and arguments that must be scalars are
represented by names beginning with S.
ABS(M) Absolute value. Takes a single argument. Returns a matrix having the
same dimensions as the argument, containing the absolute values of its
elements.
ALL(M) Test for all elements nonzero. Takes a single argument. Returns a
scalar: 1 if all elements of the argument are nonzero and 0 if any
element is zero.
ANY(M) Test for any element nonzero. Takes a single argument. Returns a
scalar: 1 if any element of the argument is nonzero and 0 if all elements
are zero.
ARSIN(M) Inverse sine. Takes a single argument, whose elements must be
between – 1 and 1. Returns a matrix having the same dimensions as
the argument, containing the inverse sines (arcsines) of its elements.
The results are in radians and are in the range from – π ⁄ 2 to π ⁄ 2 .
ARTAN(M) Inverse tangent. Takes a single argument. Returns a matrix having the
same dimensions as the argument, containing the inverse tangents (arctangents)
of its elements, in radians. To convert radians to degrees, multiply
by 180 ⁄ π , which you can compute as 45 ⁄
ARTAN( 1)
. For example, the
statement COMPUTE DEGREES=ARTAN(M)*45/ARTAN(1) returns a
matrix containing inverse tangents in degrees.
BLOCK(M1,M2,...) Create a block diagonal matrix. Takes any number of arguments.
Returns a matrix with as many rows as the sum of the rows in all the
arguments, and as many columns as the sum of the columns in all the
arguments, with the argument matrices down the diagonal and zeros
elsewhere. For example, if: