Mathematics - Matrices Question with Solution | TestHub

MathematicsMatricesProduct of MatricesMedium2 minPYQ_2007

MathematicsMediumsingle choice

Let $A = 500 5 α α 0 α 5 α 5$ . If $A^{2} = 25$ , then $∣ α ∣$ equals

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Solution:

$A^{2} = 500 5 α α 0 α 5 α 5 500 5 α α 0 α 5 α 5$ $A^{2} = 2500 25 α + 5 α^{2} α^{2} 0 5 α + 25 α^{2} + 5 α 5 α^{2} + 25 α 25$ $625 α^{2} = 25$ $\Rightarrow ∣ α ∣ = \frac{1}{5}$ .

Stream:JEESubject:MathematicsTopic:MatricesSubtopic:Product of Matrices

⏱ 2mℹ️ Source: PYQ_2007

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