If A - - - a b b 2- - a 2 - a b - and A n - 0 then the minimum value of n is

The correct option is B 2 A=[ ab amp;b^2; a^2 amp; ab ] A^2=[ ab amp;b^2; a^2 amp; ab ][ ab amp;b^2; a^z amp; ab ]=[ ...

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Multiplication of Matrices

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Question

If $A = [\begin{matrix} a b & b^{2} - a^{2} & - a b \end{matrix}]$ and $A^{n} = 0$ then the minimum value of $n$ is

2

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A = [\begin{matrix} a b & b^{2} - a^{2} & - a b \end{matrix}]

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∣ ∣ ∣ ∣ ∣ \begin{matrix} - b c & b^{2} + b c & c^{2} + b c a^{2} + a c & - a c & c^{2} + a c a^{2} + a b & b^{2} + a b & - a b \end{matrix} ∣ ∣ ∣ ∣ ∣ = 27, a + b + c \geq 0

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A = [\begin{matrix} a b & b^{2} - a^{2} & - a b \end{matrix}],

A

i f A = [\begin{matrix} a b & b^{2} - a^{2} & - a b \end{matrix}], t h e n o b t a i n {| A |}^{2}

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