If A is an m × n matrix, then A and [img=22x23]1803c4e6ab82af7.png[/img] have the same nullity.
举一反三
- If A is an m × n matrix, then A and [img=22x23]1803c4e6a28cd7b.png[/img] have the same rank.
- 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
- Let A be a n×n matrix, then ( ) A: [img=94x23]180348ef1e7493d.png[/img] B: [img=171x28]180348ef2664920.png[/img] C: If [img=85x25]180348ef2f7cdbe.png[/img], then [img=14x19]180348ef37b5dfe.png[/img] is invertible. D: If [img=85x25]180348ef2f7cdbe.png[/img], then [img=22x23]180348ef47fab11.png[/img]is invertible.
- Let A be a 4×4 matrix, the determinant of A is 1/3, and [img=21x20]1803c4e4937ebc3.png[/img] the adjoint matrix of A, then [img=115x27]1803c4e49b725a2.png[/img]=________. A: 1 B: 3 C: 6 D: 9