Question

02. Considerando duas matrizes A e B, sendo A=[1 2] [7 0] e B=[1 -1] [0 1], verifique se
AXB = B XA.​

Answer 1

Resposta:

AXB a=$\left[\begin{array}{ccc}1&2\\7&0\\\end{array}\right]$ x b= $\left[\begin{array}{ccc}1&-1\\0&1\\\end{array}\right]$=  $\left[\begin{array}{ccc}1x1 + 2x0&1x(-1) + 2x1\\7x1 + 0x0&7x(-1)+0x1\\\end{array}\right]$= $\left[\begin{array}{ccc}1&1\\7&-7\\\end{array}\right]$

BXA b=$\left[\begin{array}{ccc}1&-1\\0&1\end{array}\right]$x a=$\left[\begin{array}{ccc}1&2\\7&0\\\end{array}\right]$=$\left[\begin{array}{ccc}1x1+(-1)x7&1x2+(-1)x0\\0x1+1x7&0x2+0x0\end{array}\right]$=$\left[\begin{array}{ccc}-6&3\\7&0\end{array}\right]$

então AXB$\neq$BXA.