If $$A=aij3$$×$$3$$ is a matrix satisfying the equation $$x3$$−$$3x+1=0$$ then

Correct option is 3A is non-singular matrix

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If $A = {(a_{i j})}_{3 \times 3}$ is a matrix satisfying the equation $x^{3} - 3 x + 1 = 0$ then

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A is a unit matrix

A is singular matrix

A is non-singular matrix

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detailed solution

Correct option is C

A3−3A+I=0⇒I=A3I−A2⇒A is invertible and hence non-singular

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If A=aij3×3 is a matrix satisfying the equation x3−3x+1=0 then

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If $A = {(a_{i j})}_{3 \times 3}$ is a matrix satisfying the equation $x^{3} - 3 x + 1 = 0$ then