If A is an m × n matrix, then A and [img=22x23]1803c4e6a28cd7b.png[/img] have the same rank.
举一反三
- If A is an m × n matrix, then A and [img=22x23]1803c4e6ab82af7.png[/img] have the same nullity.
- If A is an m × n matrix, then A and AT have the same rank.
- If A is an m × n matrix, then A and AT have the same rank. A: 正确 B: 错误
- If A and B are m × n matrices then have the same rank, then the rank of AB must equal the rank of BA.
- Let A be an m×n matrix, then ( ). A: AAT =ATA. B: if rank(A) = m, then AT A is invertible. C: if rank(A) = n, then AAT is invertible. D: if rank(A) = n, then AT A is invertible.