How do the dimensions of the null space and column space of a matrix relate to the number of lead and free variables in the reduced row echelon form of the matrix? ex plain. 3. let a e r6x4 with rk(a) = 4, (a) what is the dimension of null(a)? (b) what is the dimension of col(a)? (c) if be col(a), how many solutions will the linear system ax- b have? 4.

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.