Recent content by nickw00tz

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    Eigenvalue Proof: Proving A^2=A has 0 or 1 as an eigenvalue

    Sorry about that, what I meant was could we associate λ as an eigenvector for A and A^2. For example: If Au=λu then (A^2)u=λu, where u=/=0
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    Eigenvalue Proof: Proving A^2=A has 0 or 1 as an eigenvalue

    can we assume, for the proof, the eigenvalues are both equal to λ?
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    Eigenvalue Proof: Proving A^2=A has 0 or 1 as an eigenvalue

    Homework Statement Proof: Prove that if A is an nxn (square mtx) such that A^2=A, then A has 0 or 1 as an eigenvalue. The Attempt at a Solution A=A^2 A^2-A=0 A(A-I)=0 A=0 or A=1 and then plugging the A solutions into the characteristic equation and solving for λ
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    Proof of Linear Algebra Solution Using Systems of Equations

    Oh i see now, thank you!
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    Proof of Linear Algebra Solution Using Systems of Equations

    I attempted to do that and working backwards from there but i get stuck here: a(r+u)+b(s+v)=p c(r+u)+d(s+v)=q ar+au+bs+bv=p cr+cu+ds+sv=q
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    Proof of Linear Algebra Solution Using Systems of Equations

    Hi, first post here. I need help with a proof from linear algebra. It states: suppose that (x,y)=(r,s) is a solution of: system of equations #1 ax+by=p cx+dy=q and that (x,y)=(u,v) is a solution of: system of equations #2 ax+by=0 cx+dy=0 prove that (x,y)=(r+u , s+v) is a solution for system...