HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 326
Makemat, Rownorm, Schur
UPC - 882780045217
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hp40g+.book Page 12 Friday, December 9, 2005 1:03 AM LU MAKEMAT QR RANK ROWNORM RREF SCHUR SIZE 18-12 LU Decomposition. Factors a square matrix into three matrices: {[[lowertriangular]],[[uppertriangular]],[[permutation]]} The uppertriangular has ones on its diagonal. LU (matrix) Make Matrix. Creates a matrix of dimension rows × columns, using expression to calculate each element. If expression contains the variables I and J, then the calculation for each element substitutes the current row number for I and the current column number for J. MAKEMAT(expression, rows, columns) Example MAKEMAT(0,3,3) returns a 3×3 zero matrix, [[0,0,0],[0,0,0],[0,0,0]]. QR Factorization. Factors an m×n matrix into three matrices: {[[m×m orthogonal]],[[m×n uppertrapezoidal]],[[n×n permutation]]}. QR (matrix) Rank of a rectangular matrix. RANK (matrix) Row Norm. Finds the maximum value (over all rows) for the sums of the absolute values of all elements in a row. ROWNORM (matrix) Reduced-Row Echelon Form. Changes a rectangular matrix to its reduced row-echelon form. RREF (matrix) Schur Decomposition. Factors a square matrix into two matrices. If matrix is real, then the result is {[[orthogonal]],[[upper-quasi triangular]]}. If matrix is complex, then the result is {[[unitary]],[[upper-triangular]]}. SCHUR (matrix) Dimensions of matrix. Returned as a list: {rows,columns}. SIZE (matrix) Matrices