The product of a matrix with a vector is a linear image. The multiplication is explained if the number of columns of the matrix is equal to the number of elements of the vector. The result is a vector whose number of components equals the number of rows of the matrix. This means that a matrix with 2 rows always maps a vector to a vector with two components.
Input of the matrix elements: a11, a12, ... and the vector elements, v1, v2, ...
Multiplication of the matrix with the vector:
Here is a list of of further useful calculators and sites:Matrix rules Determinant rules Vector calculation Vector addition graphically Vector subtraction graphically Matrix-Vector product graphically Inner product graphically Sum and dif of MxN matrices Multiplication of matrices Adjugate matrix Inverse Matrix Determinant 3x3 Determinant NxN