• March 28th, 2020, 16:11
Welcome to the forum! I guess that "between" is supposed to mean "among", but I am not sure about "even". If it means "at least", then the...
2 replies | 172 view(s)
• March 26th, 2020, 21:12
I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 1, Section 1.4: Basis ... ......
0 replies | 62 view(s)
• March 26th, 2020, 14:09
Nice... (Smirk) Thank you very much!!! (Blush)
12 replies | 235 view(s)
• March 25th, 2020, 20:13
I've been using Sage for generating problems in linear algebra and graph theory. It has nice functions for generating random matrices with integer...
1 replies | 59 view(s)
• March 25th, 2020, 17:24
Yes, it does... (Nod) So is this sufficient to say that since it has to hold for every $\lambda$, it has to hold that $a_{12}=a_{22}=0$ and so the...
12 replies | 235 view(s)
• March 25th, 2020, 15:43
Oh sorry... We get that $3 \cdot x_1+ 0 \cdot x_2=3 \Rightarrow x_1=1$, and $x_2$ is arbitrary, so it is indeed a solution... (Wasntme)
12 replies | 235 view(s)
• March 25th, 2020, 15:36
This is wrong, since we would have the following: \begin{bmatrix} 1 & 0\\ 3 & 0 \end{bmatrix} \begin{bmatrix} x_{1} \\ x_{2}...
12 replies | 235 view(s)
• March 25th, 2020, 14:24
So whichever value $\lambda$ has, we should get the same matrix $A$. This is only possible when $a_{12}=a_{22}=0$. Thus, $A=\begin{bmatrix} 1... 12 replies | 235 view(s) • March 25th, 2020, 14:08 Oh yes, right... (Thinking) Even if we pick, for example,$\lambda=0$, we do not get a specific matrix$A$. How can we get further information?... 12 replies | 235 view(s) • March 24th, 2020, 21:54 I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 1, Section 1.4: Basis ... ... ... 0 replies | 74 view(s) • March 24th, 2020, 21:36 Thanks GJA ... I appreciate your help ... Peter 2 replies | 106 view(s) • March 24th, 2020, 14:52 Hello!!! (Wave) The general solution of the system$Ax=\begin{bmatrix} 1\\ 3 \end{bmatrix}$is$x=\begin{bmatrix} 1\\ 0 \end{bmatrix}+...
12 replies | 235 view(s)
• March 23rd, 2020, 03:05
In a recent post I wanted to use a capital tau ... and so typed \mathcal{ \Tau_1 } but generated an error ... Can someone please help ... ... ...
2 replies | 85 view(s)
• March 23rd, 2020, 02:51
I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 1, Section 1.4: Basis ... ... ...
2 replies | 106 view(s)
• March 19th, 2020, 22:50
Thanks Oxide ... I really appreciate your help ... Peter
2 replies | 169 view(s)
• March 19th, 2020, 06:00
I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 4, Section 4.1: Sequences ... ...
2 replies | 169 view(s)
• March 19th, 2020, 05:41
Hi GJA ... .. Thanks so much for the help ... Peter
2 replies | 150 view(s)
• March 18th, 2020, 22:20
I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 4, Section 4.1: Sequences ... ...
2 replies | 150 view(s)
• March 18th, 2020, 22:04
Thanks Evgeny ... Your post turned out to be really helpful ... Appreciate your help ... Peter
2 replies | 140 view(s)
• March 15th, 2020, 17:13
Yes, your suggestion is correct. We need to show that $x\in \bar{A}=A\cup(\bar{A}-A)$ implies $x\in A\cup\partial A$. This requires considering...
2 replies | 140 view(s)
• March 15th, 2020, 02:15
I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 1, Section 1.2: Topological ...
2 replies | 140 view(s)
• March 14th, 2020, 19:42
Thanks for the help, Opalg ... really appreciate it ... Just working through what you have written ... Thanks again ... Peter
2 replies | 91 view(s)
• March 14th, 2020, 04:03
I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 1, Section 1.2: Topological ...
1 replies | 47 view(s)
• March 13th, 2020, 23:08
I am reading Tej Bahadur Singh: Elements of Topology, CRC Press, 2013 ... ... and am currently focused on Chapter 1, Section 1.2: Topological Spaces...
2 replies | 91 view(s)
• March 10th, 2020, 22:58
Thanks HallsofIvy ... appreciate your help ... Peter
2 replies | 207 view(s)
• March 8th, 2020, 21:51
I am reading Sasho Kalajdzievski's book: "An Illustrated Introduction to Topology and Homotopy" and am currently focused on Chapter 3: Topological...
2 replies | 207 view(s)
• March 7th, 2020, 03:31
I am reading Wilson A. Sutherland's book: "Introduction to Metric & Topological Spaces" (Second Edition) ... I am currently focused on Chapter 8:...
0 replies | 112 view(s)
• March 2nd, 2020, 00:51
I am reading Kristopher Tapp's book: Matrix Groups for Undergraduates. I am currently focused on and studying Section 1 in Chapter2, namely: ...
0 replies | 272 view(s)
• March 1st, 2020, 00:19
Thanks for the help, Opalg ... Peter
2 replies | 456 view(s)
• March 1st, 2020, 00:14
I am reading Kristopher Tapp's book: Matrix Groups for Undergraduates. I am currently focused on and studying Section 1 in Chapter2, namely: ...
0 replies | 82 view(s)
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