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

Given: A = [ 2; 4; 1 ]⇒ A' = [ 2 amp; 4 amp; 1 ] B = [ 5 amp; 3 amp; 1 ]⇒ B' = [ 5; 3; 1 ] AB = #160;[ 2; 4; 1 ][ ...

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Transpose of a Matrix

If A=[ 2; -...

Question

If $A = ⎡ ⎢ ⎣ \begin{matrix} 2 - 4 1 \end{matrix} ⎤ ⎥ ⎦, B = [53 - 1]$ then 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 = [13 - 6]

(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} 2 & 3 1 & - 4 \end{matrix}]

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

{(A B)}^{- 1} = B^{- 1} A^{- 1}

For the matrices A and B, verify that (AB)' =B'A', where $A = ⎡ ⎢ ⎣ \begin{matrix} 1 - 4 3 \end{matrix} ⎤ ⎥ ⎦, B = [- 121]$

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