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If \(\lambda=0\), is an eigen value of \(A\), then \(\det(A)\) is :

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The determinant of a matrix equals the product of its eigenvalues: \[ \det(A)=\prod \lambda_i \] If even one eigenvalue is zero, then: \[ \det(A)=0 \] and the matrix becomes singular.

Updated On: May 22, 2026

\(0\)
\(1\)
\(\lambda\)
Infinite

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The Correct Option is A

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If \(\lambda=0\), is an eigen value of \(A\), then \(\det(A)\) is :

Show Hint

The Correct Option is A

Solution and Explanation

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