Question

1) Calcule a matriz A 2x2 Talque aij= 2i + 3j 

2) Para
M= 3   N= 1  P= 2 
     6       -11       8 
     7       10        4 
Calcule M+P N+P

Answer 1

1)
$a_{ij} = 2i + 3j$

$\left[\begin{array}{ccc} a_{11} & a_{12} \\ a_{21} & a_{22} \end{array}\right]$

$a_{11} = 2.1+3.1 = 2+3 = 5 \\ a_{12} = 2.1+3.2 = 2+3 = 8 \\ a_{21} = 2.2+3.1 = 4+3 = 7 \\ x_{22} = 2.2+3.2 = 4 + 6 = 10 \\ \\ \left[\begin{array}{ccc}5&8\\7&10\end{array}\right]$

2)
$M = \left[\begin{array}{ccc}3\\6\\7\end{array}\right] + P = \left[\begin{array}{ccc}2\\8\\4\end{array}\right] M+P= \left[\begin{array}{ccc}5\\14\\11\end{array}\right] \\ \\ N = \left[\begin{array}{ccc}1\\-11\\10\end{array}\right] + P = \left[\begin{array}{ccc}2\\8\\4\end{array}\right] N+P = \left[\begin{array}{ccc}3\\-3\\14\end{array}\right]$