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dimension of $\mathbb{M}_n(\mathbb{K})$

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#linear-algebra #abstract-algebra #vector-spaces
877
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Prove range$(A)$ is the space spanned by the columns of $A$

Published on
#linear-algebra #elementary-set-theory #vector-spaces
478
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Vector with complex values

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#complex-numbers #vector-spaces
269
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Vector space, linear combination and vector field

Published on
#vector-spaces #soft-question #intuition #vector-fields
87
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Example of a vector set that is ω-independent but not minimal

Published on
#functional-analysis #vector-spaces #independence
101
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Show that the set is a vector space

Published on
#linear-algebra #vector-spaces
440
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Meaning of symbol used for vector spaces

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#linear-algebra #vector-spaces
178
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Why can we not find n+ 2 vectors in $R^n$ so that the dot product of any two of them is negative?

Published on
#linear-algebra #vector-spaces #vectors
31
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Solve the vector equation

Published on
#vector-spaces #vectors #vector-analysis
100
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Properties of set $\{X∈ M_n(\mathbb{C}) | \operatorname{adj}(X)=I_n\}$

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#linear-algebra #matrices #vector-spaces
131
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Basis of polynomial and matrix spaces

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#linear-algebra #matrices #polynomials #vector-spaces #change-of-basis
189
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Distance between vectors in a high dimensional space

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#linear-algebra #vector-spaces #eigenvalues-eigenvectors
338
Views

Are vectors generated from the same normal distribution linearly independent?

Published on
#matrices #vector-spaces #eigenvalues-eigenvectors #matrix-rank
259
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prove unitary variance of operator 2 norm

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#linear-algebra #vector-spaces #normed-spaces
73
Views

Can we view a vector space as a field extention?

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#vector-spaces #field-theory #extension-field

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