Thanks for pointing that out.
For 2x2 matrices,1 element is necessary.
For 3x3 matrices, 3 elements, for 4x4 - 6 elements, for 5x5 - 9 elements, for 6x6 it's 15 elements..
I am trying to come up with the proper function that will generate such output, given the input (n), but ... I can't...
Hm..
Well, I am debating between n and 2n numbers.
The following 2x2 matrix is antisymmetric:
0 a
-a 0
So, it depends on one number, a.
A description of a 3x3 matrix would depend on 3 numbers, a, b, and c and so forth.
Does this mean that this is the answer to the problem? n...
Hi!
I am working on the following problem:
If a matrix is antisymmetric (thus A^T = -A), show that
P = {A \in R | A is antisymmetric} is a subset of Rnxn. Also, find the dimension of P.
So far, I've proven that P is a subset of R and I am guessing that, in order for me to find the...
I checked my notes and as far as I understand you're talking about the invertible matrix theoremy...
Can we then say that:
Assuming that E-nA is not invertible means that there will be a non-zero vector x, such that (E-nA)x=0. However, this suggests that E-nA is not row equivalent to E which...
I am sorry, I am quite new to Linear Algebra I am not really sure what the answer to your question should be... Can you explain a little bit more why there should be a non-zero vector such that (E-nA)v=0?
Thank you for helping me out! You're a life saver!
idempotent matrix problem - HELP :(
Hi, I have the following problem with an idempotent matrix and I am stuck...
If A is an idempotent (A^2 = A), is E - nA invertible /E is the identity matrix and n is a real number/ and why?
I've tried with setting (E - nA)(E - nA) but it doesn't get me...