Mathematics, Data Science, Algebra, Numerical Analysis, University At Buffalo.
of a matrix-vector product. Let A be a matrix in m x n matrix space and x be a vector in m x 1 vector space. In this case, Ax is only defined if n = m, and xA is undefined as 1 ≠ p. This is where we define xᵗA which gives us a 1 x n row vector. 3. Matrix-Matrix Product Let A be a m x n dimension