If A- -2- 4- 5 - and B-1 3 -6- verify that AB- - B-A-

Given : A=[ 2; 4; 5 ] and #160; B=[ 1 amp; 3 amp; 6 ] A'=[ 2 amp; 4 amp; 5 ] and B'=[ 1; 3; 6 ] Consider B'A'=[ ...

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Transpose of a Matrix

If A=[ -2; ...

Question

If $A = ⎡ ⎢ ⎣ \begin{matrix} - 2 45 \end{matrix} ⎤ ⎥ ⎦$ and $B = [13 - 6]$ verify that $(A B)^{'} = B^{'} A^{'}$ .

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A = ⎡ ⎢ ⎣ \begin{matrix} - 2 45 \end{matrix} ⎤ ⎥ ⎦, B = [\begin{matrix} 1 & 3 & - 6 \end{matrix}]

(A B)^{'} = B^{'} A^{'}

A = ⎡ ⎢ ⎣ \begin{matrix} - 2 45 \end{matrix} ⎤ ⎥ ⎦

B = [\begin{matrix} 1 & 3 & - 6 \end{matrix}]

(A B)^{T} = B^{T} A^{T}

A = ⎡ ⎢ ⎣ \begin{matrix} 2 - 4 1 \end{matrix} ⎤ ⎥ ⎦, B = [53 - 1]

(A B)^{'} = B^{'} A^{'}

A = [\begin{matrix} 2 & - 1 & 2 1 & 3 & - 4 \end{matrix}]

B = ⎡ ⎢ ⎣ \begin{matrix} 1 & - 2 - 3 & 0 5 & 4 \end{matrix} ⎤ ⎥ ⎦

(A B)^{'} = B^{'} A^{'}

A = [\begin{matrix} 4 & 3 1 & 2 \end{matrix}] B = [\begin{matrix} 2 & 1 1 & 2 \end{matrix}]

{(A B)}^{'} = B^{'} A^{'}

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