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If A and B have the same reduced echelon form then the column space of A equals the column space of B.

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#linear-algebra #vector-spaces #gaussian-elimination #transpose
14.5k
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Why is the maximum Rayleigh quotient equal to the maximum eigenvalue?

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#matrices #eigenvalues-eigenvectors #symmetric-matrices #transpose
47
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how can I get the diagonal matrix from the eigenvectors, of this matrix?

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#determinant #matrix-equations #transpose
43
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Solving for Unknown in Matrix

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#matrices #eigenvalues-eigenvectors #diagonalization #transpose
172
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Derivative transpose (follow up)

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#matrices #derivatives #linear-regression #transpose
1.2k
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If A is a skew symmetric matrix such that A'A=I then A^4n-1 is equal to

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#transpose
15.7k
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When can we say that $A^{\mathrm T} B = B^{\mathrm T} A$?

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#matrices #matrix-calculus #linear-regression #transpose
850
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Inner Product Space of Symmetric Matrices

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#linear-algebra #eigenvalues-eigenvectors #inner-products #transpose
76
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Questions about Transpose Matrix Properties

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#matrices #transpose
147
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In what cases is $AB = B^T A$

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#linear-algebra #matrices #linear-transformations #matrix-equations #transpose
75
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Transpose of the matrix of a linear map

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#matrices #linear-transformations #change-of-basis #transpose
319
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Why doesn't the least squares equation simplify?

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#matrices #inverse #least-squares #transpose
307
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Prove that if $\Vert{Qx}\Vert = \Vert{x}\Vert$ then $Q^{-1} = Q^{t}$

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#matrices #normed-spaces #inverse #orthogonal-matrices #transpose
173
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Is it okay transposing each matrix elements?

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#linear-algebra #matrices #transpose #lu-decomposition
2.4k
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What is the intuitive interpretation of the transpose compared to the inverse?

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#linear-algebra #matrices #inverse #intuition #transpose

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