Recent content by Andrew Pierce

Homework Statement An insulated piston-cylinder device contains 5 L of saturated liquid water at a constant pressure of 175 kPa. Water is stirred by a paddle wheel while a current of 8 A flows for 45 min through a resistor placed in the water, If one-half of the liquid is evaporated during this...

Thanks so much for all your help! Alright, so, for checking scalar multiplication I should set f(x) = 0? then multiply by any nonzero scalar and the answer will still come out to be zero? Then onto part (b) All functions f in F(-∞,∞) for which f(0) = 1 could I set g(x) to be g(0) = -1 and...

Ok so could I set g to be g(x) and g(0)=0 then g(0) + f(0) = 0 then setting k=0 kf(x) = 0 making it constrained as a subspace of F(-∞,∞)? I don't know if I'm focusing to much on zero or if that is the best way to go about solving these problems.

Homework Statement First, I'd like to say that this question is from an Introductory Linear Algebra course so my knowledge of vector space and subspace is limited. Now onto the question. Q: Which of the following are subspaces of F(-∞,∞)? (a) All functions f in F(-∞,∞) for which f(0) = 0...

I do not want to sound stupid but I am unsure how to do that... Maybe that is what has me stuck... But to try and understand what it is do you simply substitute t for one of the variables and solve for each of the respective variables? x = 1 - t z = 1 - t Is that it?

So would a possible point for this line be (1, 0, 0)? Or another, (0, 0, 1)? Thanks so much for the help!

Right, I understand that but the problem I'm facing is, what do I do from there? I need to find a point on that line/plane I assume? But how?

Homework Statement Two planes are given by the equations x + y + z = 1 for the plane P1 and x − y + z = 1 for the plane P2. (or) P1 : x + y + z = 1 P2 : x - y + z = 1 Q. The Question Find the coordinates of a point of intersection of the planes P1 and P2 Homework...