HP 40gs HP 39gs_40gs_Mastering The Graphing Calculator_English_E_F2224-90010.p - Page 198
LSQ(<matrix1>, <matrix2>), LU(<matrix>), MAKEMAT(<expression>, <rows>, <columns>)
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LSQ(,) The least squares function displays the minimum norm least squares matrix (or vector). LU() This LU Decomposition function is similar to the LQ function on the previous page. It factors a square matrix into three matrices, returning them in the form of a list variable. {[[lower triangular]],[[upper triangular]],[[permutation]]} The upper triangular has ones on its diagonal. The matrices can be separated in the same method outlined for the LQ function. MAKEMAT(,,) The MAKEMAT function is used, mainly by programmers to manufacture a matrix with dimensions rows × columns, using the supplied expression to calculate each element. Eg. MAKEMAT(0,3,3) returns a 3×3 zero matrix, Note: If the 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 during the calculation. ⎡2 3 4⎤ Eg. MAKEMAT(I+J,3,3) returns the matrix ⎢⎢3 4 5⎥⎥ ⎢⎣4 5 6⎥⎦ QR() The QR function is similar to the LQ function on the previous page. It factors an m x n matrix into three matrices, returning them in the form of a list variable. {[[m×m orthogonal]],[[m×n uppertrapezoidal]],[[n×n permutation]]} RANK() This function returns the rank of a rectangular matrix. 198
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