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Norm; Scalar Product; Orthogonalization - HP Mathematics II User Manual

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4 6 6
1 3 2
-1 -5 -2
The example examines whether the vectors in RB {4 6 6}, { 1
3 2} and {-1 -5 -2} are lineary independent and then form a
basis in RS (three dimensional vector space).
Here the length or absolute value is calculated. The input
vector is {vi V2 vs....} and the output is a number or an expres-
sion if the vector is symbolic.
A vector is transformed into an unit vector
e = V/NORM(V).V =
Scalar product (inner product)
The scalar product of two vectors is calculated. Symbolic vec-
tors are possible.
An orthogonal basis is calculated with an arbitrary basis as a
starting point using the Gram-Schmidt process.
2. Linear algebra _ 31


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