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Engineering mathematics
GateOverflow04
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Sep 21
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If A is a non-zero column matrix of order n×1 and B is a non-zero row matrix of order 1×n then rank of AB equals ?
Rank(ab) can be zero???
engineering-mathematics
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GateOverflow04
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your question is about column matrix $\times$ row matrix, not row matrix $\times$ column matrix.
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GateOverflow04
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sorry, my mistake
Thank you
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Sonu12345
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Wrong multiplication
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$A,B \ are\ non-zero\ matrices\ so\ matrix\ AB\ will\ be\ non-zero\ matrix$
$There\ will\ have\ at\ least\ one\ non-zero\ element.$
afroze
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