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15
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How to find linear forms on n dimensional vector space?

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#vector-spaces #linear-transformations
459
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Show that matrix $A$'s columns build a basis for $\mathbb{R^3}$

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#linear-algebra #matrices #vector-spaces #vectors #vector-analysis
841
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cylindrical coordinate $\theta$ when $r=0$

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#calculus #vector-spaces #vectors #vector-analysis
840
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Orbit of a matrix can generates a basis?

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#linear-algebra #matrices #vector-spaces #group-actions #topological-vector-spaces
1.4k
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Does vector $v$ lie in the Kernel of $A$ (Matrix)?

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#linear-algebra #matrices #vector-spaces #vectors #vector-analysis
49
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Show that a dot product is defined on a certain vector space $P_2$

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#linear-algebra #polynomials #vector-spaces
46
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If S is linearly independent on D1, then S is linearly independent on D2 ;if S is linearly dependent on D2, then S is linearly independent on D1.

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#real-analysis #linear-algebra #vector-spaces
793
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Show that $V(F)$ is a subspace to $W.$

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#linear-algebra #vector-spaces #linear-transformations
969
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Prove normed vector space is a Banach space

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#real-analysis #vector-spaces #banach-spaces
135
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A vector space inside a metric space inside a vector space

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#vector-spaces #metric-spaces #normed-spaces #complete-spaces
2.2k
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Prove that every square matrix $A^2 = I$ has at least one of the eigenvalues $\pm 1$ and no other eigen values

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#linear-algebra #matrices #vector-spaces #eigenvalues-eigenvectors
382
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How to solve the following vector space problem?

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#linear-algebra #vector-spaces
1k
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Question about a proof of the fact that $n$ linearly independent vectors form a basis of $n$ dimensional vector space

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#linear-algebra #vector-spaces
84
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Most important basis vector?

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#linear-algebra #vector-spaces
393
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$\Bbb Q$-linear is equivalent to additive

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#linear-algebra #vector-spaces #linear-transformations

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