Mathematics - Matrices Question with Solution | TestHub

MathematicsMatricesSpecial matrixMedium2 minQB

MathematicsMediuminteger

If $A = a b c b c a c a b$ , $ab c = 1$ , and $A^{'} A = I$ , then find the least value of $a^{3} + b^{3} + c^{3}$ .

Answer:

Solution:

$A^{'} A = I$ .

$∣ A^{'} A ∣ = ∣ I ∣ \Rightarrow ∣ A ∣ = \pm 1$ .

$a b c b c a c a b = \pm 1 \Rightarrow 3 ab c - a^{3} - b^{3} - c^{3} = \pm 1 \Rightarrow a^{3} + b^{3} + c^{3} = 4 an d 2$

Stream:JEESubject:MathematicsTopic:MatricesSubtopic:Special matrix

⏱ 2mℹ️ Source: QB

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