Of the products AB, BA, A² and B², which ones are possible for the given matrices? $$A = \left[ \begin{array} { l l } 1 & 1 \ 6 & 5 \end{array} \right] , B = \left[ \begin{array} { c c } 5 & - 6 \ - 7 & 3 \end{array} \right]$$ A)AB only B)AB and BA only C)BA only D)A² and B² only E)AB, BA, A² and B²

Question

Quizplus · Accepted Answer

Both matrices A and B are 2x2 matrices, so all products AB, BA, A², and B² are possible.

Of the Products AB, BA, A2 and B2, Which Ones A=[1165],B=[5−6−73]A = \left[ \begin{array} { l l } 1 & 1 \\6 & 5\end{array} \right] , B = \left[ \begin{array} { c c } 5 & - 6 \\- 7 & 3\end{array} \right]A=[16​15​],B=[5−7​−63​]

Of the Products AB, BA, A² and B², Which Ones $A = \left[ \begin{array} { l l } 1 & 1 \\6 & 5\end{array} \right] , B = \left[ \begin{array} { c c } 5 & - 6 \\- 7 & 3\end{array} \right]$