If A- ab b2- -a2 -ab - and An-O- then the minimum value of -n- is

A^2=A · nbsp; A [ ab amp;b^2; nbsp; nbsp; a^2 amp; ab nbsp; ][ ab amp;b^2; nbsp; nbsp; a^2 amp; ab nbsp; ] =[ a^2b ...

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Addition and Subtraction of a Matrix

If A=[ ab b2...

Question

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

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

A^{n} = 0

n

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

A^{2}

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

A

a, b, c

p x^{3} + q x^{2} + r x + s = 0

∣ ∣ ∣ ∣ ∣ \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

a^{2} + b^{2} + c^{2} = 3,

3 p + q

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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