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.

2x - 20 = 32 20 - 3x = 8 6x - 8 = 16 -13 - 3x = -10

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.

Abig remake 100 loaves of bread in one day how many loaves does the bakery make in 6 days