MathAlgebraLinear algebraMatrix decomposition

SVD in action

An alternative look

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Some matrix $A$ has the following SVD:

$A=U \Sigma V^T$ What does the alternative SVD form look like?

Select one option from the list

\sum_{j=1}^{r-2} \sigma_j \ \mathbf{v}_j \, \mathbf{u}_j^T

\sum_{j=1}^{r} \mathbf{u}_j \, \mathbf{v}_j^T

\sum_{j=1}^{r-2} \sigma_j \ \mathbf{u}_j \, \mathbf{v}_j^T

\sum_{j=1}^r \sigma_j \ \mathbf{u}_j \, \mathbf{v}_j^T

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