Question
If $A=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right], B=\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right]$, then find $A B$ and $B A$ and show that $A B \neq B A$.
Step 1
The product of two matrices is found by multiplying the rows of the first matrix by the columns of the second matrix. So, we have: $A B=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right]\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right]$ Show more…
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