Question

If $T$ is a linear operator on a finite dimensional vector space.prove $R(T^2)$ is subspace of $R(T)$, $R(T^3)$ subspace of $R(T^2)$ and so on

score 19 · Answer 1 · 2026-03-29 22:09:16

If $T$ is a linear operator on a finite dimensional vector space.prove $R(T^2)$ is subspace of $R(T)$, $R(T^3)$ subspace of $R(T^2)$ and so on

score 19 · Answer 2 · 2017-04-04 21:10:05

19

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Given two vectors $a$ and $b$ prove their distance is $2\sum_{i=1}^{n} (a_i + t_p h_i) h_i$

Published on 04 Apr 2017 - 21:10

score 19 · Answer 3 · 2017-04-04 14:52:54

Finding a sequence $a_{n}$ and $b_{n}$ where $a_{n}$ converges and $b_{n}$ is unbounded, and $a_{n}b_{n}$ converges

score 19 · Answer 4 · 2017-04-01 05:22:00

19

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Can $v$ be a linear combination of nonzero independent vectors it is orthogonal to?

Published on 01 Apr 2017 - 5:22

score 19 · Answer 5 · 2026-03-29 22:13:30

19

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Help with the convergence of an improper integral

Published on 29 Mar 2026 - 22:13

score 19 · Answer 6 · 2026-03-29 22:08:18

Why $\mathbb{P}(\max\limits_{0 \le t \le 1} B(t) > \epsilon n) = 2\mathbb{P}(B(1) > \epsilon n)$, $B(t)$ is a Brownian motion

score 19 · Answer 7 · 2017-03-29 23:09:04

19

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Investor estimates a fortune "t" years from now, show initial growth rate

Published on 29 Mar 2017 - 23:09

score 19 · Answer 8 · 2017-03-29 17:24:12

19

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Recurrence relation - Show that there is $A$ s.t. $a_n < A \forall n \in N$

Published on 29 Mar 2017 - 17:24

score 19 · Answer 9 · 2017-03-29 10:07:24

19

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how to calculate the optimal string to match a pass sequence

Published on 29 Mar 2017 - 10:07

score 19 · Answer 10 · 2017-03-28 01:17:01

19

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How can we prove that for every $\alpha,$ $\alpha \in aut(\mathbb Q)$ has the form $\alpha(x)=x\alpha(1)?$

Published on 28 Mar 2017 - 1:17

score 19 · Answer 11 · 2017-03-25 12:40:46

Let $B=\{ v_i \}_{i=1}^n$ base of V, and $T:V\rightarrow V$ a linear operator, while $T(v_1)=\sum_{i=1}^nv_i$. Find the sum of $[T^{-1}]_B$ elements

score 19 · Answer 12 · 2017-03-23 19:43:01

19

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Subring such that all products are zero

Published on 23 Mar 2017 - 19:43

score 19 · Answer 13 · 2017-03-22 14:05:28

19

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The map $G$ from a solid of revolution $M$ to a set of its unit normals isn't injective

Published on 22 Mar 2017 - 14:05

score 19 · Answer 14 · 2017-03-19 16:43:32

If a sequence converges to 0 in $\mathbb{R}^2$ and a function is 0 at every point of the sequence and at 0, is 0 an eigenvalue of the Jacobian?

score 19 · Answer 15 · 2017-03-19 03:55:11

19

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Trying to combine limits of sumations

Published on 19 Mar 2017 - 3:55

List Question

If $T$ is a linear operator on a finite dimensional vector space.prove $R(T^2)$ is subspace of $R(T)$, $R(T^3)$ subspace of $R(T^2)$ and so on

Given two vectors $a$ and $b$ prove their distance is $2\sum_{i=1}^{n} (a_i + t_p h_i) h_i$

Finding a sequence $a_{n}$ and $b_{n}$ where $a_{n}$ converges and $b_{n}$ is unbounded, and $a_{n}b_{n}$ converges

Can $v$ be a linear combination of nonzero independent vectors it is orthogonal to?

Help with the convergence of an improper integral

Why $\mathbb{P}(\max\limits_{0 \le t \le 1} B(t) > \epsilon n) = 2\mathbb{P}(B(1) > \epsilon n)$, $B(t)$ is a Brownian motion

Investor estimates a fortune "t" years from now, show initial growth rate

Recurrence relation - Show that there is $A$ s.t. $a_n < A \forall n \in N$

how to calculate the optimal string to match a pass sequence

How can we prove that for every $\alpha,$ $\alpha \in aut(\mathbb Q)$ has the form $\alpha(x)=x\alpha(1)?$

Let $B=\{ v_i \}_{i=1}^n$ base of V, and $T:V\rightarrow V$ a linear operator, while $T(v_1)=\sum_{i=1}^nv_i$. Find the sum of $[T^{-1}]_B$ elements

Subring such that all products are zero

The map $G$ from a solid of revolution $M$ to a set of its unit normals isn't injective

If a sequence converges to 0 in $\mathbb{R}^2$ and a function is 0 at every point of the sequence and at 0, is 0 an eigenvalue of the Jacobian?

Trying to combine limits of sumations

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