Hp 38g Graphing Calculator Manual do Utilizador descarregar pdf (Página 142)

Matrix Functions, continued

SCHUR

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 (mato)

SIZE Dimensions of matrix. Returned as a list: {rows,columns}.

SIZE [matrix)

SPECNORM

Spectral Norm of the specified array.

SPECNORM (mato)

SPECRAD

Spectral Radius of a square matrix.

SPECRAD (marnx)

SVD

Singular Value Decomposition. Factors an mXn matrix into two

matrices and a vector:

{[ [mxm square orthogonal] ], [ [nxn square orthogonal] ] ,

[real]}.

SVD [matrix)

SVL

Singular Values. Returns a vector containing the singular values

of matrix.

SVL [matrix)

TRACE

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)

TRN Transposes matrix. For a complex matrix, TRN finds the

conjugate transpose.

TRN [matrix)

6-12 Using Matrices

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