If A- 0 c -b- -c 0 a- b -a 0 - and B- a2 ab ac- ab b2 bc- ac bc c2 - then AB-

AB=[ 0 amp;c nbsp; amp; b; nbsp; nbsp; c amp; 0 amp;a; nbsp; nbsp;b amp; a amp; 0 ][ a^2 amp;ab nbsp; amp;ac; nbsp; nbsp;ab ...

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Evaluation of a Determinant

If A=[ 0 c -b...

Question

If $A = ⎡ ⎢ ⎣ \begin{matrix} 0 & c & - b - c & 0 & a b & - a & 0 \end{matrix} ⎤ ⎥ ⎦$ and $B = ⎡ ⎢ ⎣ \begin{matrix} a^{2} & a b & a c a b & b^{2} & b c a c & b c & c^{2} \end{matrix} ⎤ ⎥ ⎦$ , then $A B =$

A

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B

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I

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O

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A = ⎡ ⎢ ⎣ \begin{matrix} 0 & c & - b - c & 0 & a b & - a & 0 \end{matrix} ⎤ ⎥ ⎦, B = ⎡ ⎢ ⎣ \begin{matrix} a^{2} & a b & a c b a & b^{2} & b c c a & c b & c^{2} \end{matrix} ⎤ ⎥ ⎦

A B =

A = ⎡ ⎢ ⎣ \begin{matrix} 0 & c & - b - c & 0 & a b & - a & 0 \end{matrix} ⎤ ⎥ ⎦

B = ⎡ ⎢ ⎣ \begin{matrix} a^{2} & a b & a c b a & b^{2} & b c c a & c b & c^{2} \end{matrix} ⎤ ⎥ ⎦

A B

⎡ ⎢ ⎣ \begin{matrix} 0 & c & - b - c & o & a b & - a & 0 \end{matrix} ⎤ ⎥ ⎦

⎡ ⎢ ⎣ \begin{matrix} a^{2} & a b & a c a b & b^{2} & b c a c & b c & c^{2} \end{matrix} ⎤ ⎥ ⎦

A = ⎡ ⎢ ⎣ \begin{matrix} a^{2} & a b & a c a b & b^{2} & b c a c & b c & c^{2} \end{matrix} ⎤ ⎥ ⎦

a^{2} + b^{2} + c^{2} = 1

A^{2} =

A = ⎡ ⎢ ⎣ \begin{matrix} a^{2} & a b & a c a b & b^{2} & b c a c & b c & c^{2} \end{matrix} ⎤ ⎥ ⎦

a^{2} + b^{2} + c^{2} = 1

A^{2} =

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