If A- 2 -1 -1 2 - and B- 1 4 -1 1 - then find AB

AB=[ 2 amp; #160; 1 1 amp; 2 ][ 1 amp; #160; 4 1 amp; 1 ] =[ 2× 1+( 1× 1) amp; #160; 2× 4+( 1× 1) ( 1× 1) ...

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Equality of Matrices

If A=[ 2 ...

Question

If $A = [\begin{matrix} 2 & - 1 - 1 & 2 \end{matrix}]$ and $B = [\begin{matrix} 1 & 4 - 1 & 1 \end{matrix}]$ then find $A B$

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Solution

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A^{- 1} = ⎡ ⎢ ⎣ \begin{matrix} 3 & - 1 & 1 - 15 & 6 & - 5 5 & - 2 & 2 \end{matrix} ⎤ ⎥ ⎦

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

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

A = ⎡ ⎢ ⎣ \begin{matrix} - 2 46 \end{matrix} ⎤ ⎥ ⎦

B = [14 - 6]

A B

(a + b) = 12

a b = 14

(a^{2} + b^{2}) =

A^{- 1} = ⎡ ⎢ ⎣ \begin{matrix} 3 & - 1 & 1 - 15 & 6 & - 5 5 & - 2 & 2 \end{matrix} ⎤ ⎥ ⎦

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

{(A B)}^{- 1}

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

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