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A matrix A is said to be skew symmetric if A^T = A. Show that is a matrix is skew symmetric then its diagonal entries must all be 0. A^T meant to be A transpose.
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For a given square matrix A the predicted values of matrix B are: predicted B=A(A'A)^(1)A'B why is the matrix C=A(A'A)^(1)A' an idempotent and symmetric matrix? and is this matrix invertible?
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If A is an n × n matrix, then A = S + K, where S is symmetric and K is skew symmetric. Let A= [1 3 2;4 2 2;5 1 2] Find the matrices S and K described above can some0ne explain how to get these two matricies? thanks
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Hi guys: Can any one please tell me what does this means? Thanks  The second matrix is simply the symmetric version of the first. This 1 2 3 4 5 6 7 1 0 2 3 x 2
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1)If A is an invertible matrix and k is a positive integer, then (A^k)^1 = (A^1)^k note: ^ stand for power, 1 stand for inverse of A 2)If A is an invertible matrix, then (transpose of A)^1 =transpose of(A^1) 3)Prove A^2 = A,
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If A is a square matrix, show that B=(A+A^T)/2 is a symmetric matrix.
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Hi, I just want to make sure I am doing this right: Construct a relation on the set {a, b, c, d} that is a) reflexive, symmetric, but not transitive. b) irrreflexive, symmetric, and transitive. c) irreflexive, antisymmetric, and
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