Please answer True or False for the below questions 3. If E is an elementary matrix, then A and EA must have the same null space. ____ True _____False 4. If E is an elementary matrix, then A and EA must have the same row space. ____ True _____False 5. If E is an elementary matrix, then A and EA must have the same column space. ____ True _____False 6. If Ax = b does not have any solutions, then b is not in the column space of A. ____ True _____False 7. The row space and mullspace of an invertible matrix are the same. ____ True _____False 8. If A is not square, then the row vectors of A must be linearly dependent. ____ True _____False 9. If A is square, then either the row vectors or the column vectors of
Please answer True or False for the below questions
3. If E is an elementary matrix, then A and EA must have the same null space. ____ True _____False
4. If E is an elementary matrix, then A and EA must have the same row space. ____ True _____False
5. If E is an elementary matrix, then A and EA must have the same column space. ____ True _____False
6. If Ax = b does not have any solutions, then b is not in the column space of A. ____ True _____False
7. The row space and mullspace of an invertible matrix are the same. ____ True _____False
8. If A is not square, then the row vectors of A must be linearly dependent. ____ True _____False
9. If A is square, then either the row vectors or the column vectors of A must be linearly independent. ____ True _____False
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