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Q.

The values ofλ for which the matrix A=λ0λλ0−λ010 is orthogonal is

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a

±1

b

±1/3

c

±1/2

d

±1/2

answer is D.

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Detailed Solution

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