rosebebo4515 rosebebo4515
  • 29-01-2024
  • Mathematics
contestada

We know that if A,B are m×n and n×p matrices respectively (let n>p>m), then rank(AB)≥rank(A)+rank(B)−n by Sylvester's inequality. Is it also true that rank(AB)≥rank(A) if B has full column rank?

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