Recent content by aargoo

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    Linear Dependence in Rn with Nonsingular Matrix A

    Homework Statement Let x1,x2,x3 be linearly dependent vectors in Rn, let A be a nonsingular n x n matrix, and let y1=Ax1, y2=Ax2, y3=Ax3. Prove that y1, y2,y3 are linearly dependent. Homework Equations The Attempt at a Solution My solution was y is equal to the zero vector...
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    Orthonormal Sets - Find a projection matrix - Linear Algebra

    Hmm, I'm still trying to figure out if I'm missing a formula somewhere... A = [1 0 1 0 0 1 0 1] So, projAx = AATx = [1 1 0 0 1 1 0 0 0 0 1 1 0 0 1 1] x I'm now confused as to how to find x? It should be a 4x4, correct?
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    Orthonormal Sets - Find a projection matrix - Linear Algebra

    Homework Statement Let A be the 4x2 matrix |1/2 -1/2| |1/2 -1/2| |1/2 1/2| |1/2 1/2| Find the projection matrix P that projects vectors in R4 onto R(A) Homework Equations projSx = (x * u)u where S is a vector subspace and x is a vectorThe Attempt at a Solution v1 = (1/2, 1/2...