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Question: Answered & Verified by Expert
Let M and N are two non singular matrices of order 3 with real entries such that adjM=2N and adjN=M. If MN=λΙ, then the value of λ is equal to (where, adjX represents the adjoint matrix of matrix X and I represents an identity matrix)
MathematicsMatricesJEE Main
Solution:
1610 Upvotes Verified Answer
The correct answer is: 2

adjM=2NadjM=2NM2=8N …. 1
adjN=MadjN=MN2=M …. 2
From 1 and 2, we get,

N=2,M=4
Now, MN=adjNN=NΙ=2Ιλ=2

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