TRUE OR FALSE 3 If A and B are matrices with the same row re

TRUE OR FALSE

3. If A and B are matrices with the same row reduced echelon form, then the system A~x = ~b and B~x = ~b have the same number of solutions.
4. If a matrix E is in row reduced echelon form and we omit one column, then the remaining matrix is also in row reduced echelon form.
5. A vector ~b ? Rn is a linear combination of vectors ~v1, ~v2, . . . , ~v7 in Rn if and only if the system ~v1 ~v2 . . . ~v7 ~x = ~b is consistent.

Solution

1. yes which is true. the system Ax=b and Bx=b have the same number of solutions.if A and B are the same reduced echelon form.

2.true

3.true