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Questions  

The values ofλ for which the matrix A=λ0λλ0λ010 is orthogonal is

a
±1
b
±1/3
c
±1/2
d
±1/2

detailed solution

Correct option is D

AA′=I⇒λ0λλ0−λ010λλ0001λ−λ0=100010001⇒2λ20002λ20001=100010001∴2λ2=1⇒λ=±1/2

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