Question

$W$ is a $T$ invariant subspace of $V$ , and we know that $\sum^{k}_{i=1}a_i \in W$. show that $\forall i, a_i \in W ( 1\leq i\leq k)$

score 71 · Answer 1 · 2019-06-23 12:21:10

$W$ is a $T$ invariant subspace of $V$ , and we know that $\sum^{k}_{i=1}a_i \in W$. show that $\forall i, a_i \in W ( 1\leq i\leq k)$

score 29 · Answer 2 · 2019-06-23 17:27:49

29

Views

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Published on 23 Jun 2019 - 17:27

score 29 · Answer 3 · 2019-06-23 19:31:26

29

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score 318 · Answer 8 · 2019-06-24 21:59:12

318

Views

Show that the following equation applies: $\dim(\phi^{-1}(U))=\dim(U\cap\phi(V))+\dim(\ker(\phi))$

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score 963 · Answer 9 · 2019-06-26 03:17:48

963

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score 39 · Answer 10 · 2019-06-26 06:52:47

39

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score 168 · Answer 11 · 2019-06-26 09:11:52

168

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score 32 · Answer 12 · 2019-06-27 12:05:41

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score 428 · Answer 13 · 2026-03-27 13:47:00

428

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233

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score 58 · Answer 15 · 2026-03-25 14:22:25

58

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List Question

$W$ is a $T$ invariant subspace of $V$ , and we know that $\sum^{k}_{i=1}a_i \in W$. show that $\forall i, a_i \in W ( 1\leq i\leq k)$

Show that T maps the whole of the 3-dimension space $R^3$ into a plane $∏$ giving its equation.

Attribution of variables to matrices

Covariance matrix in the normal equation

What is $\tilde{T}$ in Axler's Linear Algebra?

Linear Maps Thought of as Matrix Multiplication

Dimension of kernel of compact operator

Show that the following equation applies: $\dim(\phi^{-1}(U))=\dim(U\cap\phi(V))+\dim(\ker(\phi))$

linear independence of a set of vectors is basis-independent

Showing that a matrix $A \neq kI$ is simmilar to $B=\left(b_{ij}\right)$ with $b_{11} =0$

Number of errors of $\sigma$ is the same as minimum transpositions to convert $\sigma$ to the identical permutation

Finding a basis whose orthogonality is preserved by a linear transformation

Given a diagonalizable matrix $A$ and polynomial $f$, prove $f(A)$ is diagonalizable

What are the transformation equations for a curved cylindrical coordinate?

The relation between mirror image and equivalence of two knots.

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