General Comments:

All matrix commands must be placed between the command "MATRIX." and "END MATRIX".

The source of all wisdom on SPSS matrix algebra is the Advanced Statistics 6.1 Reference Manual. The relevant pages are 468 to 512.

To write a matrix, enclose the elements of the matrix within braces ({}). Elements of each row are separated by commas. (The number of columns is implied by the number of elements in each row.) Rows are separated by semi-colons. Thus {2,4,3,7;1,5,3,1} is a 2 x 4 matrix that looks like

				2  4  3  7
				1  5  3  1

Matrices can be defined explicitly as above or read into the MATRIX processor using a READ or GET command. For example if the above matrix was created using a word processor and saved as an ASCII or TXT file with the name "MATRIX1.DAT" it can be read with the following command:

		READ A /FILE=MATRIX1.DAT /FIELD = 1 to #.

Manipulating Matrices

	COMPUTE		C = {A,B}.		Concatenate (Join) A and B vertically
						where A and B are matrices or vectors.
						(A & B must have the same number of rows.)

	COMPUTE		C = {A;B}.		Concatenate (Join) A and B horizontally
						where A and B are matrices or vectors.
						(A & B must have the same number of columns.)
						
	COMPUTE		A = MAKE (#1, #2, #3).	Create #1 by #2 rectangular matrix 
						with value #3 in all elements.

	COMPUTE 	I = IDENT (#1).		Create a square identity matrix with 
						#1 rows/columns.

	COMPUTE		A = MDIAG (#1)		Create square matrix with values of
						vector V as main diagonal, elsewhere 0

	COMPUTE		NR = NROW (A).		Finds # of rows in A.

	COMPUTE		NC = NCOL (A).		Finds # of columns in A.

Key Matrix Operators

	COMPUTE		C = A + B.		Add matrices A and B.

	COMPUTE		C = A * B.		Multiply matrices A and B.

	COMPUTE		AT = T (A).  		Find the transpose of A.

	COMPUTE		INVA = INV (A).		Calculate the inverse of A.

	COMPUTE 	DETA = DET (A)		Calculate the determinant of A.

	COMPUTE		DIAGA = DIAG (A).	Create a column vector from 
						the diagonal of  matrix A.

	COMPUTE		EIGA = EVAL (A)		Compute the eigenvalues of A
						and place in column vector.

	COMPUTE		RANKA = RANK (A).	Assess the rank of A.

Results

	PRINT 		A /FORMAT = F10.4 / TITLE = "My Results".