SPSS® 12.0 Command Syntax Reference

930 MATRIX—END MATRIX
DET(M) Determinant. Takes a single argument, which must be a square matrix.
Returns a scalar, which is the determinant of the argument.
DIAG(M) Diagonal of a matrix. Takes a single argument. Returns a column
vector with as many rows as the minimum of the number of rows and
the number of columns in the argument. The ith element of the result
is the value in row i, column i, of the argument.
EOF(file) End of file indicator. Normally used after a READ statement. Takes a
single argument, which must be either a filename in apostrophes or
quotation marks, or a file handle defined on a FILE HANDLE command
that precedes the matrix program. Returns a scalar equal to 1 if the last
attempt to read that file encountered the last record in the file, and
equal to 0 if the last attempt did not encounter the last record in the file.
Calling the EOF function causes a REREAD specification on the READ
statement to be ignored on the next attempt to read the file.
EVAL(M) Eigenvalues of a symmetric matrix. Takes a single argument, which
must be a symmetric matrix. Returns a column vector with the same
number of rows as the argument, containing the eigenvalues of the
argument in decreasing numerical order.
EXP(M) Exponentials of matrix elements. Takes a single argument. Returns a
matrix having the same dimensions as the argument, in which each
element equals e raised to the power of the corresponding element in
the argument matrix.
FCDF(M,S1,S2) Cumulative F distribution function of elements. Takes three
arguments, a matrix of F values and two scalars giving the degrees
of freedom (which must be positive). Returns a matrix having the
same dimensions as the first argument M, containing the values of
the cumulative F distribution function for each of its elements. If an
element of the first argument is x and the second and third arguments
are S1 and S2, the corresponding element of the result is a number
between 0 and 1, giving the proportion of an F distribution with S1
and S2 degrees of freedom that is less than x. If x is not positive, the
result is 0.
GINV(M) Moore-Penrose generalized inverse of a matrix. Takes a single argument.
Returns a matrix with the same dimensions as the transpose of
the argument. If A is the generalized inverse of a matrix M, then
M*A*M=M and A*M*A=A. Both A*M and M*Aare
symmetric.
GRADE(M) Ranks elements in a matrix. Takes a single argument. Uses sequential
integers for ties.
GSCH(M) Gram-Schmidt orthonormal basis for the space spanned by the column
vectors of a matrix. Takes a single argument, in which there must be as
many linearly independent columns as there are rows. (That is, the rank
of the argument must equal the number of rows.) Returns a square
matrix with as many rows as the argument. The columns of the result
form a basis for the space spanned by the columns of the argument.