# Singular Value Decomposition Calculator

## Singular value decomposition of the general matrix.

 $\hspace{60} A\hspace{50}=\hspace{50}U\hspace{110}W\hspace{110} V^{t}\\\vspace{5}\\\normal{\left[\begin{array}\vspace{10} a_{\small 11}& a_{\small 12}& \cdots& a_{\small 1j}\\\vspace{10} a_{\small 21}& a_{\small 22}& \cdots& a_{\small 2j}\vspace{20}\\ \vdots& \vdots& \ddots& \vdots\vspace{10}\\a_{\small i1}& a_{\small i2}& \cdots& a_{\small ij}\\\end{array}\right]}={\left[\begin{array}\vspace{10} u_{\small 11}& u_{\small 12}& \cdots& u_{\small 1j}\\\vspace{10} u_{\small 21}& u_{\small 22}& \cdots& u_{\small 2j}\vspace{20}\\ \vdots& \vdots& \ddots& \vdots\vspace{10}\\u_{\small i1}& u_{\small i2}& \cdots& u_{\small ij}\\\end{array}\right]}{\left[\begin{array}\vspace{10} w_{\small 11}& 0& \cdots& 0\\\vspace{10} 0& w_{\small 22}& \cdots& 0\vspace{20}\\ \vdots& \vdots& \ddots& \vdots\vspace{10}\\0&0& \cdots& w_{\small jj}\\\end{array}\right]}{\left[\begin{array}\vspace{10} v_{\small 11}& v_{\small 21}& \cdots& v_{\small j1}\\\vspace{10} v_{\small 12}& v_{\small 22}& \cdots& v_{\small j2}\vspace{20}\\ \vdots& \vdots& \ddots& \vdots\vspace{10}\\v_{\small 1j}& v_{\small 2j}& \cdots& v_{\small jj}\\\end{array}\right]}\\$
 (enter a data after click each cell in matrix) Matrix A {aij}
 6dgt10dgt14dgt18dgt22dgt26dgt30dgt34dgt38dgt42dgt46dgt50dgt SVD

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