Question

determine a matriz transposta de C = ( Cj ) 3x2 com C ij = i elevado a 2 - 2 j elevado a 2

Answer 1

$C= \left[\begin{array}{ccc} C_{11}&C_{12}\\C_{21}&C_{22}\\C_{31}&C_{32}\end{array}\right]= \left[\begin{array}{ccc}1^{2}-2.1^{2}&1^{2}-2.2^{2}\\2^{2}-2.1^{2}&2^{2}-2.2^{2}\\3^{2}-2.1^{2}&3^{2}-2.2^{2}\end{array}\right]= \left[\begin{array}{ccc}-1&-7\\2&-4\\7&1\end{array}\right]^{T}$$=\left[\begin{array}{ccc}-1&2&7\\-7&-4&1\\\end{array}\right]$