Homework Statement
Derive an expression for the current I(t) as a function of time for the following circuit:
____ \____
|..... |
&..... -
& .....-
| ...|
___________
This circuit may be a bit unclear - the && is an inductor L, the - - is a capacitor C, and the top part is a switch that is...
Homework Statement
Find the eigenvalues and an orthonormal set of eigenvectors for this matrix:
|1 1+i 0|
|1-i 1 0|
|0 0 2|
Homework Equations
Find the determinant of A - xI, where A is the matrix, I is the identity matrix, and x denotes eigenvalues
Set the...
Sorry one more question! I followed the procedure you showed me, and I'm ending up with x_2y_1 + x_1y_2 = 0. Since it was never established that either of the terms are equal to zero, is this set thus not a closed space and not a vector space?
Thank you so much for your help! But I'm still incredibly confused as to how to prove this (I'm sorry I feel really idiotic). I know that for the first equation, if vectors x and y are in that equation, the sum of x+y is also fulfills that equation. In addition, I know that a scalar b times any...
Homework Statement
Determine whether the following set forms a vector space:
{(x1, x2, x3) E R^3 | x1 + 2x2 - x3 = 0 and x1x2 = 0}
Homework Equations
The axioms!
The Attempt at a Solution
I know that the first equation in the set fulfills the axioms for a vector space, since...