Depending on my use-case I either use Calc; the C-style arbitrary precision calculator or bc.
(Both are available on Linux/OSX/Windows)
Calc
Example matrix assignment:
mat [2][3] = {{1,2,3},{4,5,6}}
Documentation for multiplication of matrices:
A * B
Multiplication is defined provided certain conditions by the
dimensions and shapes of A and B are satisfied. If both have
dimension 2 and the column-index-list for A is the same as
the row-index-list for B, C = A * B is defined in the usual
way so that for i in the row-index-list of A and j in the
column-index-list for B,
C[i,j] = Sum A[i,k] * B[k,j]
the sum being over k in the column-index-list of A. The same
formula is used so long as the number of columns in A is the same
as the number of rows in B and k is taken to refer to the offset
from matmin(A,2) and matmin(B,1), respectively, for A and B.
If the multiplications and additions required cannot be performed,
an execution error may occur or the result for C may contain
one or more error-values as elements.
If A or B has dimension zero, the result for A * B is simply
that of multiplying the elements of the other matrix on the
left by A[] or on the right by B[].
If both A and B have dimension 1, A * B is defined if A and B
have the same size; the result has the same index-list as A
and each element is the product of corresponding elements of
A and B. If A and B have the same index-list, this multiplication
is consistent with multiplication of 2D matrices if A and B are
taken to represent 2D matrices for which the off-diagonal elements
are zero and the diagonal elements are those of A and B.
the real and complex numbers.
If A is of dimension 1 and B is of dimension 2, A * B is defined
if the number of rows in B is the same as the size of A. The
result has the same index-lists as B; each row of B is multiplied
on the left by the corresponding element of A.
If A is of dimension 2 and B is of dimension 1, A * B is defined
if number of columns in A is the same as the size of A. The
result has the same index-lists as A; each column of A is
multiplied on the right by the corresponding element of B.
The algebra of additions and multiplications involving both one-
and two-dimensional matrices is particularly simple when all the
elements are real or complex numbers and all the index-lists are
the same, as occurs, for example, if for some positive integer n,
all the matrices start as mat [n] or mat [n,n].