  {\sc CLIFFORD} is a Maple package for computations in Clifford algebras $\cl
(B)$ of an arbitrary symbolic or numeric bilinear form B. In particular, B may
have a non-trivial antisymmetric part. It is well known that the symmetric part
g of B determines a unique (up to an isomorphism) Clifford structure on
$\cl(B)$ while the antisymmetric part of B changes the multilinear structure of
$\cl(B).$ As an example, we verify Helmstetter's formula which relates Clifford
product in $\cl(g)$ to the Clifford product in $\cl(B).$ Experimentation with
Clifford algebras $\cl(B)$ of a general form~B is highly desirable for physical
reasons and can be easily done with {\sc CLIFFORD}. One such application
includes a derivation of a representation of Hecke algebras in ideals generated
by q-Young operators. Any element (multivector) of $\cl(B)$ is represented in
Maple as a multivariate Clifford polynomial in the Grassmann basis monomials
although other bases, such as the Clifford basis, may also be used. Using the
well-known isomorphism between simple Clifford algebras $\cl(Q)$ of a quadratic
form Q and matrix algebras through a faithful spinor representation, one can
translate standard matrix algebra problems into the Clifford algebra language.
We show how the Singular Value Decomposition of a matrix can be performed in a
Clifford algebra. Clifford algebras of a degenerate quadratic form provide a
convenient tool with which to study groups of rigid motions in robotics. With
the help from {\sc CLIFFORD} we can actually describe all elements of $\Pin(3)$
and $\Spin(3).$ Rotations in $\BR^3$ can then be generated by unit quaternions
realized as even elements in $\cl^{+}_{0,3}.$ Throughout this work all symbolic
computations are performed with {\sc CLIFFORD} and its extensions.
