Solve {lcccc}hline&{N_{1}}&{S_1^2}&{N_{2}}&{S_2^2}hlinetext{(a)}&{30}&{4}&{30}&{4}{text{(b)}}&{30}&{5}&{50}&{2}{text{(c)}}&{40}&{1}&{60}&{3}{text{(d)}}&{60}&{4}&{20}&{4}{text{(e)}}&{30}&{4}&{30}&{1}hline

$$\left. \begin{array} { l c c c c } \hline & { N _ { 1 } } & { S _ { 1 } ^ { 2 } } & { N _ { 2 } } & { S _ { 2 } ^ { 2 } } \\ \hline \text { (a) } & { 30 } & { 4 } & { 30 } & { 4 } \\ { \text { (b) } } & { 30 } & { 5 } & { 50 } & { 2 } \\ { \text { (c) } } & { 40 } & { 1 } & { 60 } & { 3 } \\ { \text { (d) } } & { 60 } & { 4 } & { 20 } & { 4 } \\ { \text { (e) } } & { 30 } & { 4 } & { 30 } & { 1 } \\ \hline \end{array} \right.$$

Evaluate

$$\left(\begin{matrix}0&N_{1}&S_{1}^{2}&N_{2}&S_{2}^{2}\\a&30&4&30&4\\b&30&5&50&2\\c&40&1&60&3\\d&60&4&20&4\\e&30&4&30&1\end{matrix}\right)$$

Transpose Matrix

$$\left(\begin{matrix}0&a&b&c&d&e\\N_{1}&30&30&40&60&30\\S_{1}^{2}&4&5&1&4&4\\N_{2}&30&50&60&20&30\\S_{2}^{2}&4&2&3&4&1\end{matrix}\right)$$