HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 327
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hp40g+.book Page 13 Friday, December 9, 2005 1:03 AM SPECNORM SPECRAD SVD SVL TRACE TRN Examples Identity Matrix Transposing a Matrix Matrices Spectral Norm of matrix. SPECNORM (matrix) Spectral Radius of a square matrix. SPECRAD (matrix) Singular Value Decomposition. Factors an m × n matrix into two matrices and a vector: {[[m × m square orthogonal]],[[n × n square orthogonal]], [real]}. SVD (matrix) Singular Values. Returns a vector containing the singular values of matrix. SVL (matrix) Finds the trace of a square matrix. The trace is equal to the sum of the diagonal elements. (It is also equal to the sum of the eigenvalues.) TRACE (matrix) Transposes matrix. For a complex matrix, TRN finds the conjugate transpose. TRN (matrix) You can create an identity matrix with the IDENMAT function. For example, IDENMAT(2) creates the 2×2 identity matrix [[1,0],[0,1]]. You can also create an identity matrix using the MAKEMAT (make matrix) function. For example, entering MAKEMAT(I¼J,4,4) creates a 4 × 4 matrix showing the numeral 1 for all elements except zeros on the diagonal. The logical operator ¼ returns 0 when I (the row number) and J (the column number) are equal, and returns 1 when they are not equal. The TRN function swaps the row-column and column-row elements of a matrix. For instance, element 1,2 (row 1, 18-13