Home /
Expert Answers /
Algebra /
let-a-and-b-be-n-times-n-matrices-if-rk-a-rk-b-then-it-is-necessarily-true-that-a-col-a-colb-pa262
(Solved): Let A and B be n\times n matrices. If rk(A)=rk(B), then it is necessarily true that: (a) Col A= ColB ...
Let
Aand
Bbe
n\times nmatrices. If
rk(A)=rk(B), then it is necessarily true that: (a) Col
A=ColB. (b) The system
Ax=0has a unique solution if and only if the system
Bx=0has a unique solution. (c)
Aand
Bare row-equivalent. (d)
Aand
Bhave the same number of non-zero rows.
