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Finding $Im(T)$ and $Ker(T)$ of the following linear transformation

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#linear-algebra #linear-transformations
52
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How does it follow that $A^T A = I$ from $m_{ij}m_{ik}=\delta _{jk}$?

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#linear-algebra #linear-transformations #isometry
44
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Find the matrices of the linear mappings in the following bases

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#linear-algebra #linear-transformations
32
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What's wrong with my reasoning regarding projections

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#linear-transformations #projection
336
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Geometry of General Linear Group

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#linear-algebra #general-topology #geometry #linear-transformations #analytic-geometry
331
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Real eigenvalues of a non-symmetric matrix $A$ ?.

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#matrices #linear-transformations #matrix-equations #matrix-calculus #matrix-decomposition
829
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How do you prove that an image preserving barycentric coordinates w.r.t two triangles is an affine transformation?

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#linear-transformations #transformation #affine-geometry #barycentric-coordinates #geometric-transformation
50
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Find the transformation matrix of this transformation:

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#linear-algebra #matrices #linear-transformations
54
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For an endomorphism $f:V\rightarrow V$, can we assure that it's also an automorphism?

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#linear-transformations
473
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Injective Linear transformation

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#linear-algebra #linear-transformations
47
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Express $\phi(L)$ given $L=\{T\in \operatorname{Hom}(V,W)|\:T(U_1)\subset Z_1\}$

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#linear-algebra #vector-spaces #linear-transformations
660
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why images are related by an affine transformation in following specific case?(background in computer vision required)

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#linear-transformations #rotations #projective-geometry
2.7k
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Swapping row $n$ with row $m$ by using permutation matrix

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#linear-algebra #matrices #linear-transformations #matrix-decomposition
511
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Finding matrix linear transformation

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#linear-algebra #matrices #linear-transformations #rotations
265
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Finding bases to GF($2^m$) over GF($2$)

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#linear-algebra #linear-transformations #finite-fields #change-of-basis

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