Components
of Tensor
or
On
inverting,
or
Above
represents a transformation of coordinates where the equations can be written as
and
Recall
A
matrix is orthogonal if its transpose is equal to its inverse
An
example of an orthogonal matrix is the direction cosine matrix. The
transformation associated with the matrix is an orthogonal transformation.
If
is the transformation, with
, then
transforms a vector
in one
coordinate system into another vector
.
e.g.
and
The
transformation
is
linear if
