Recent content by John Smith
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Graduate How to Show that PL is a Matrix in Vector Projection?
Let PL an QL denote, respectively, projection on and reflection in the line L through the origin with direction vector d = [a b c] =not 0 I got a proplem showing that PL is a matrix. 1/(a^2 +b^2+c^) = Matrix...a^2 ab ac .........ab b^2 bc .........ac bc c^2- John Smith
- Thread
- Matrix
- Replies: 1
- Forum: Linear and Abstract Algebra
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Graduate How to Prove the Eigenvalue Property of CrA(x)?
Its okey I did find it out.- John Smith
- Post #2
- Forum: Linear and Abstract Algebra
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Graduate How to Prove the Eigenvalue Property of CrA(x)?
I hava a problem finding out how this is showned If A is n x n and r is not 0. Show that CrA(x) = (r^n) * CA(x/r) What rule should I think of in defanition.- John Smith
- Thread
- Algebra Eigenvalue Linear Linear algebra
- Replies: 2
- Forum: Linear and Abstract Algebra
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Graduate Proving Reversibility of A with u & v of Size n*1
Yes thank you I think that I got it now.- John Smith
- Post #5
- Forum: Linear and Abstract Algebra
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Graduate Proving Reversibility of A with u & v of Size n*1
I did multiply the equation out and find out that ((v^T)* u)^T = u^T * v But I was wondering if this was enough to show out the proof.- John Smith
- Post #3
- Forum: Linear and Abstract Algebra
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Graduate Proving Reversibility of A with u & v of Size n*1
I need help with this proof. We have u and v of size n*1. It is giving that I of size n*n. A = I + u*v^Transpose Proof that if u^T*v is not = -1 then A is reverseble and that A is A^-1 = I - (1 / (1+u^T*V))*uv^T- John Smith
- Thread
- Reversibility
- Replies: 4
- Forum: Linear and Abstract Algebra