Recent content by zodiacbrave

Homework Statement The wings have a total surface area of 250 m^2. The air above the wing is 300 m/s and the air below the wing is 250 m/s. The ambient air pressure is around 0.5 atm. The airplane is descending at 20 m/s, therefore there is an upward drag on the wings. What is the mass of...

Okay, so that makes sense, the factor thing, but now it seems we have two unknowns...How would I get the polynomial from its factors, given two unknowns? Unless taking the derivative is the key?

Find a polynomial p(t) of degree 6 which has a zero of multiplicity 2 at t = 1 and a zero of multiplicity 3 at t = 2, and also satisfying: p(0) = 2 and p`(0) = 1. What is the other root of p(t)? Attempt at solution: zero of multiplicity 2 at t =1 implies (t-1)^2 is a factor or p(1) = 0...

a function f, that maps from the Cartesian Product of the positive integers to the positive integers. where f(x,y) = 2^(x - 1) * (2y - 1). I have to show that this function is both one-to-one and onto. I started trying to prove that it is onto, showing that there exists an n such that...

okay, so by observation, I can determine the matrix [0, 1, 0; 0,1,1;1,0,1] multiplied by the vector [1;2;3] is equal to the vector [2;5;4] I am not understanding how to solve this, I understand 1 a1 + 2 a2 + 3 a3 = [2, 5, 4] Does that mean a1 = [2;0;0]... a2 = [0; 5/2;0] and a3 = [0;0;4/3]?

Homework Statement If possible, find a basis a = {a1, a2, a3} of P2(R) such that... [2 + 5x + 4x^2]a = [1, 2, 3], [1 + x + x^2]a = [4,1,2] and [x + x^2]a = [3, -5, 1] 2. The attempt at a solution Basically, we have something like Ax = b for each of these, right? A* [2,5,4] =...

Homework Statement Find bases for the following subspaces of F^5: W1 = {(a1, a2, a3, a4, a5) E F^5 : a1 - a3 - a4 = 0} and W2 = {(a1, a2, a3, a4, a5) E F^5: a2 = a3 = a4 and a1 + a5 = 0} 2. The attempt at a solution Well, I understand a basis is the maximum amount of vectors...

Homework Statement Split the function into partial fractions. 1/(w^4-w^3)Homework Equations 1/(w^4-w^3) The Attempt at a Solution I started by factoring the denominator to w^3(w-1) and re-writing the original function as (Aw^2+Bw+C)/w^3 + D/(w-1) and set it = 1/(w^3(w-1)) I end up with...

I was wondering if anyone could recommend some Linear Algebra books? Thank you.

Hello, This might sound like a dumb question but can one learn Linear Algebra before Calculus? Thank you.