Question

A(-1 0 3
2 -1 2
1 1 0)

b (5 1 -2
1 1 3
1 1 -2


c ( 0 2 0
-1 3 -1
-4 6 -2)







Calculati : A x (b+c)

Answer 1

[tex]\it A = \begin{pmatrix} -1& \ 0&3\\\ 2&-1&2\\ \ 1&1&0 \end{pmatrix}, \ \ B = \begin{pmatrix} 5& 1&-2\\\ 1&1&\ \ 3\\ \ 1&1&-2 \end{pmatrix},\ \ C = \begin{pmatrix} \ \ 0& 2&0\\\ -1&3&-1\\ \ -4&6&-2 \end{pmatrix} [/tex]



$\it B+C = \begin{pmatrix} 5& 1&-2\\\ 1&1&\ \ 3\\ \ 1&1&-2 \end{pmatrix}+\begin{pmatrix} \ \ 0& 2&\ \ 0\\\ -1&3&-1\\ \ -4&6&-2 \end{pmatrix}=\begin{pmatrix} \ \ 5& 3&-2\\\ 0&4&\ \ 2\\ \ -3&7&-4 \end{pmatrix}$



$\it A(B + C) = \begin{pmatrix} -1& \ 0&3\\\ 2&-1&2\\ \ 1&1&0 \end{pmatrix}\cdot \begin{pmatrix} \ \ 5& 3&-2\\\ 0&4&\ \ 2\\ \ -3&7&-4 \end{pmatrix}= \begin{pmatrix} -14& 18&-10\\ \ \ 4&16& -14\\ \ \ 5&7&\ \ 0 \end{pmatrix}$