Introduce the data set with columns the repeated observations of data. $$ A=left(begin{array}{ccc) 1 & 2...

  

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Introduce the data set with columns the repeated observations of data. $$ A=\left(\begin{array}{ccc) 1 & 2 & 1.5 \\ 2 & 3 & 3.4 \\ 4 & 4 & 6.2 \\ 5 & 6.1 & 7.3 \end{array} ight) $$ a) What is the singular decomposition of $A$ as $U D V^{t}$. b) What is the closest rank one matrix to the data given by the columns of $A$ ? That is, perform data reduction on $A$. Of course 4 by 3 matrix CS.JG. 131 Introduce the data set with columns the repeated observations of data. $$ A=\left(\begin{array}{ccc) 1 & 2 & 1.5 \\ 2 & 3 & 3.4 \\ 4 & 4 & 6.2 \\ 5 & 6.1 & 7.3 \end{array} ight) $$ a) What is the singular decomposition of $A$ as $U D V^{t}$. b) What is the closest rank one matrix to the data given by the columns of $A$ ? That is, perform data reduction on $A$. Of course 4 by 3 matrix CS.JG. 131