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Let

`A`

and

`B`

be

`n\times n`

matrices. If

`rk(A)=rk(B)`

, then it is necessarily true that: (a) Col

`A=`

ColB. (b) The system

`Ax=0`

has a unique solution if and only if the system

`Bx=0`

has a unique solution. (c)

`A`

and

`B`

are row-equivalent. (d)

`A`

and

`B`

have the same number of non-zero rows.