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GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 30

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Let $A$ be a matrix defined as $A=u v^T$, where $u$ and $v$ are column vectors of dimension $3 \times 1$. The resulting matrix $A$ will be of dimension $3 \times 3$. What are the maximum number of nonzero eigenvalues possible for the matrix $A?$
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AB=BA has same non zero eigen values

hence , 3*3 and 1*1 has same non zero eigen value , i.e= 1 .
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