# Matrix-Vector product Calculator

## Calculates the matrix-vector product.

 $\hspace{30}Ax=c\\\vspace{5}\normal{\left[\begin{array}\vspace{10} a_{\small 11}& \cdots& a_{\small 1j}\\\vspace{10} a_{\small 21}& \cdots& a_{\small 2j}\vspace{20}\\ \vdots& \ddots& \vdots\vspace{10}\\a_{\small i1}& \cdots& a_{\small ij}\\\end{array}\right]} \normal{\left(\begin{array}\vspace{10} x_1\\\vspace{10} x_2\vspace{20}\\\vdots\\x_j\\\end{array}\right)}=\normal{\left(\begin{array}\vspace{10} \sum a_{1j}x_j\\\vspace{10} \sum a_{2j}x_j\vspace{20}\\\vdots\\\sum a_{ij}x_j\\\end{array}\right)}\\$

 matrix A {aij} vector x {xj} 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit matrix-vector product
 A Matrix and a vector can be multiplied only if the number of columns of the matrix and the the dimension of the vector have the same size.$Ax=c\hspace{30}\normal c_{i}={\large\sum_{\tiny j}}a_{ij}x_{j}\\$

Matrix-Vector product
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