From Sage Quick Reference: Linear Algebra, Robert A. Beezer:
Matrix Multiplication
u = vector(QQ, [1,2,3]), v = vector(QQ, [1,2])
A = matrix(QQ, [[1,2,3],[4,5,6]])
B = matrix(QQ, [[1,2],[3,4]])
u*A, A*v, B*A, B^6, B^(-3) all possible
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However u*A or A*v give:
TypeError: unsupported operand parent(s) for *: 'Vector space
of dimension 3 over Rational Field' and 'Full MatrixSpace of
2 by 3 dense matrices over Rational Field'
SageMath version 8.4, Release Date: 2018-10-17