For a 2×2 matrix A with det(A)=0, which statement about rank(A) is correct?
2×2 matrix A के लिए det(A)=0 हो, तो rank(A) के बारे में सही बात क्या है?
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Correct Answer
A. Rank full नहीं है / Rank is not full
ExplanationStep 1: Identify determinant and rank. Step 2: If det(A)=0, the matrix is singular, so rank cannot be the full rank 2. Step 3: Exam tip: Zero determinant means rank is less than order.
Step 1: अवधारणा determinant और rank है। Step 2: det(A)=0 होने पर matrix singular है, इसलिए rank full rank 2 नहीं हो सकता। Step 3: Exam note: zero determinant means rank less than order।