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The number of values of $λ$ for which there exist a non-zero 3x3 matrix A such that $A^{'} = λ A$ is :

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Correct option is C

We haveA=A′′=(λA)′=λA′=λ2A.As A≠0,λ2=1⇒λ=±1.For λ=1 all non-zero symmetric matrices can work as A.For λ=-1, all non-zero skew symmetric matrices can work as A.

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The number of values of λ for which there exist a non-zero 3x3 matrix A such that A′=λA is :

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Ready to Test Your Skills?

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The number of values of $λ$ for which there exist a non-zero 3x3 matrix A such that $A^{'} = λ A$ is :