Question

If A=(2/4 5/3),B=(1/2 -3/5) find AB , BA and cheak if AB = BA ?​

Answer 1

Answer:  AB = $\left[\begin{array}{ccc}12&19\\10&3\\\end{array}\right]$

                BA = $\left[\begin{array}{ccc}-10&-10\\24&25\\\end{array}\right]$

              AB  $\neq$  BA

Step-by-step explanation:

A = $\left[\begin{array}{ccc}2&5\\4&3\\\end{array}\right]$

B = $\left[\begin{array}{ccc}1&-3\\2&5\\\end{array}\right]$

AB = $\left[\begin{array}{ccc}2&5\\4&3\\\end{array}\right] \left[\begin{array}{ccc}1&-3\\2&5\\\end{array}\right]$                    

AB = $\left[\begin{array}{ccc}2+10&-6+25\\4+6&-12+15\\\end{array}\right]$

AB = $\left[\begin{array}{ccc}12&19\\10&3\\\end{array}\right]$

BA = $\left[\begin{array}{ccc}1&-3\\2&5\\\end{array}\right]\left[\begin{array}{ccc}2&5\\4&3\\\end{array}\right]$

BA = $\left[\begin{array}{ccc}2-12&5-15\\4+20&10+15\\\end{array}\right]$

BA = $\left[\begin{array}{ccc}-10&-10\\24&25\\\end{array}\right]$

.:    AB   $\neq$   BA