Solve the Problem. -Suppose a Nonhomogeneous System of 15 Linear Equations in 17

Question

Examlex · Accepted Answer

The Answer is If the null space of a

5 imes 7

matrix is 3 -dimensional, find Rank A, Dim Row A, and Dim Col A.
A) Rank A = 4, Dim Row A = 4, Dim Col A

= 3

B) Rank

\mathrm { A } = 4 , \operatorname { Dim }

Row

\mathrm { A } = 4

,

\operatorname { Dim } \mathrm { Col } \mathrm {} \mathrm { A } = 4

C) Rank A

= 4 , \operatorname { Dim } \operatorname { Row } \mathrm { A } = 3

,

\operatorname { Dim } \operatorname { Col~A } = 3

D)

\operatorname { Rank } A = 2 , \operatorname { Dim } \operatorname { Row } A = 2

,

\operatorname { Dim } \operatorname { Col~A } = 2

Definitions: