Question

obtenha a matriz A=(aij)2x3,tal que aij=i2+j2

Answer 1

Monte o esqueleto primeiramente. É uma matriz de duas linhas e três colunas:

$A = \begin{pmatrix} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \end{pmatrix}_{2 \times 3} \\\\\\ a_{11} = 1^{2}+1^{2} = 1+1 = \boxed{2} \\ a_{12} = 1^{2}+2^{2} = 1+4 = \boxed{5} \\ a_{13} = 1^{2}+3^{2} = 1+9 = \boxed{10} \\ a_{21} = 2^{2}+1^{2} = 4+1 = \boxed{5} \\ a_{22} = 2^{2}+2^{2} = 4+4 =\boxed{8} \\ a_{23} = 2^{2}+3^{3} = 4+9=\boxed{13} \\\\\\ \boxed{\boxed{A = \begin{pmatrix} 2 & 5 & 10 \\ 5 & 8 & 13 \end{pmatrix}_{2 \times 3}}}$

Answer 2

$A= \left[\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}}\end{array}\right] \\ \\ \\ A= \left[\begin{array}{ccc}1^2+1^2&1^2+2^2&1^2+3^2\\2^2+1^2&2^2+2^2&2^2+3^2\\\end{array}\right] \\ \\ \\ A= \left[\begin{array}{ccc}2&5&10\\5&8&13\end{array}\right]$