# Search results

1. ### First order linear differential equations

Homework Statement dy/dt=y((3t^2)-1), y(1)=-2 Homework Equations Basic integrals The Attempt at a Solution integrate on both sides: dy/y=dt((3t^2)-1) ========>ln(y)=(t^3)-t+c ========>y=e^((t^3)-t+c) ========>y=e^((t^3)-t)e^(c) I am not sure if its some e rule that I forgot...
2. ### [Multivariable Calculus] Flux and Maple Program

Homework Statement It would help if you guys had access to Maple Anyways here is the problem: http://poibella.org/calc3f11/wp-content/uploads/2011/09/lab_3_vector_calc_F_11.pdf It is on question 12 asking for flux and the questions after that. Homework Equations In the link The...
3. ### Complex Eigenvalues

Homework Statement A 3x3 matrix with all 9 of the numbers being .3 Find all the eigenvalues. Homework Equations The Attempt at a Solution I worked through it and I ended up with (l=lamda) l^3-.9l^2+.54l-.162=0 With my calculator I found one of the values, which means that there...
4. ### Finding basis of spaces and dimension

Can you explain to me how d=a, since a+d=0? Also since I am actually having a hard time learning this on my own, can you tell me what you mean by "elements" and "linear sum"?
5. ### Finding basis of spaces and dimension

Homework Statement Find a basis for each of the spaces and determine its dimension: The space of all matrices A=[a b, c d] (2x2 matrix) in R^(2x2) such that a+d=0 Homework Equations The Attempt at a Solution So I jumped at this question without knowing too much about spaces and...
6. ### Linear Algebra Help

Homework Statement There are two questions in my problem set that are giving me a hard time: 1. The cross product of two vectors in R^3 is defined by [a1, a2, a3]X[b1, b2, b3]=[a2b3-a3b2, a3b1-a1b3, a1b2-a2b1] (they are all one column) Consider an arbitrary vector v in R^3. Is the...
7. ### System of equations, matrices

Homework Statement Consider a linear system of four equations with three unknowns. We are told that the system has a unique solution. What does the rref of the co efficient matrix look like? Homework Equations The Attempt at a Solution When it says "unique solution" I'm going to...
8. ### Clarification on what is considered reduced row-echelon form

Every leading coefficient is 1 and is the only nonzero entry in its column. From the looks of it, it looks like it follows those properties, but I'm just confused if it is still rref if everything is 0, since it doesn't have a leading 1.
9. ### Clarification on what is considered reduced row-echelon form

According to wikipedia, it is: In linear algebra a matrix is in row echelon form if * All nonzero rows (rows with at least one nonzero element) are above any rows of all zeroes, and * The leading coefficient (the first nonzero number from the left, also called the pivot) of a...
10. ### Clarification on what is considered reduced row-echelon form

Homework Statement In a 2x2 matrix are these considered RREF? (0 0, 0 0) and (0 1, 0 0)
11. ### Linear Algebra, simplifying large matrices

Cool, I didn't know that the rref form doesn't need to have straight diagonal "1"s. As for the solution, would it simply be: a+2b+e-f=0 c-e+f=1 d+2e-f=2?
12. ### Linear Algebra, simplifying large matrices

Homework Statement Find all solutions using Gauss-Jordan elimination: [ 0 0 0 1 2 -1 l 2 1 2 0 0 1 -1 l 0 1 2 2 0 -1 1 l 2] Homework Equations Switching rows, able to scale any row able to add non zero multiple to row The Attempt at a Solution What I did was...