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Show that a set is a subspace of $\mathbb{R}^4$ and determine basis and dimension

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#linear-algebra #vector-spaces
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Matrix in canonical form of an orthogonal transformation

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#linear-algebra #matrices #linear-transformations #euclidean-geometry #transformation
72
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Matrix Square Root Singularity

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#linear-algebra #matrices #multivariable-calculus #matrix-decomposition #indeterminate-forms
41
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Basis, a beginner in the field needs some guidance

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#linear-algebra
69
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Converting equation of summations to matrix operations

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#linear-algebra #matrices #graph-theory #summation #matrix-equations
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Fourier Series of Absolute Value

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#linear-algebra #fourier-analysis #fourier-series
1.5k
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Do the subordinate matrix norms satisfy $\|AB\|=\|BA\|$? Explain.

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#calculus #linear-algebra #matrices #functional-analysis #numerical-methods
2.6k
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inner products and Euclidean distance between one hot vectors

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#linear-algebra
1k
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What is the essential difference between real number and complex number?

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#linear-algebra #analysis
89
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Find the equation of the line which passes through a point and is parallel to the line which passes through two other points

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#linear-algebra #euclidean-geometry
51
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Isomorphism method

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#linear-algebra #vector-spaces #vector-space-isomorphism
89
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What what value of a is A diagonalizable?

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#linear-algebra #diagonalization #matrix-decomposition
3k
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Show the rank of A equals to the number of non-zero eigenvalues of $A^TA$

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#linear-algebra #eigenvalues-eigenvectors #matrix-rank #symmetric-matrices
50
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Linear algebra- Find inverse for block matrix

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#linear-algebra #matrices #inverse
76
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Basis, linearly independence, n elements, proof

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#linear-algebra

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