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omgitsroy326
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Consider the matrix A=[3 -1; -1 3]. (a) Can the quadratic form x'*A*x evaluate to zero for some non-zero vector x? (x is a 2x1 column vector, and x' means x transposed: usual Matlab notation). (b) Does the equation A*x=b, b arbitrary, have a unique solution? If it does, prove it. (c) Show that the total potential energy f(x)=1/2*x'*A*x-b'*x has a minimum for x that solves the linear equations A*x=b.
This is the question which I'm approached with
my answer is as following
a) No, because it's a symetric matrix only x'Ax = 0 only if vector x = 0.
b) Yes , it is not underdetermined and det does not equal 0
c) iono
i was wondering what you guys thought
This is the question which I'm approached with
my answer is as following
a) No, because it's a symetric matrix only x'Ax = 0 only if vector x = 0.
b) Yes , it is not underdetermined and det does not equal 0
c) iono
i was wondering what you guys thought
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