A linear transformation L : V → W is said to map V onto W if L (V) = W. Show that the linear transformation L defined by L (x) = (x1, x1 + x2, x1 + x2 + x3)T maps R3 onto R3.

Bracket Manufacturing uses a Kanban system for a component. Daily demand is 1,100 units. Each container has a combined waiting and processing time of 0.65 days. If the container size is 100 and the alpha value (a) is 12%, how many Kanban card sets should be authorized? Round your answer up to the whole number. Kanban card set(s) What is the maximum authorized inventory? Use the rounded value from the previous question. Round your answer to the nearest whole number. unit(s)

Define a linear transformation T: P₂ → R² by T (p) = [] p(0) ->> p(0) °‹[a] : a is a real number} O The basis of the range of T is {t, t²} The entire set of all real numbers, R [8] The entire set R² [3] : 0 is a real number} : a and b are real numbers} Describe the range of T.