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Rank; Trace; Orthogonal Matrix; Transposed Matrix - HP Mathematics II User Manual

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Rank of a matrix
The rank of a mark is calculated. This routine may be used
for testing linear independency of rowvectors. The routine
makes the matrix upper traingular and PartAns Y gives the
different stages of the process.
Trace
The trace of a square matrix is calculated. An error message
is given if the matrix is not quadratic.
Orthogonal matrix
This routine is testing whether the matrix is orthogonal i.e.
the inverse is equal to the transpose. An error message is gi-
ven for wrong dimension (must be quadratic). The answer is
logic 0 or 1. May be used to investigate if rowvectors are ort-
hogonal i.e. is an orthogonal basis of a vector space.
Transpose matrix
The transpose of a symbolic matrix is calculated.
Symmetric
Investigates whether a matrix is symmetric or not. Logic 0 or
1.
2. Linear algebra
17

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