SVD

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)

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)

Examples

Identity 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.

Transposing a

The TRN function swaps the row-column and column-row

Matrix

elements of a matrix. For instance, element 1,2 (row 1,

 

column 2) is swapped with element 2,1; element 2,3 is

 

swapped with element 3,2; and so on.

 

For example, TRN([[1,2],[3,4]]) creates the matrix

 

[[1,3],[2,4]].

Matrices

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