Brian Fitzpatrick

Пікірлер

@nesrinenaaman1969 18 күн бұрын

thank youuuu

@aviationlover999 18 күн бұрын

thank you so much.

@alex.0433 Ай бұрын

Great Video. Was looking for the solution to use permutation matrix. Thanks.

@diegooroza637 3 ай бұрын

TY, excellent explanation!

@StoicBoyMario 3 ай бұрын

Thanks for the mini course super helpful brother!

@calebm6818 4 ай бұрын

You are a very engaging teacher. I especially like when you pause for a moment to highlight something as interesting--it's easy to get lost in a slew of information, but this helps provide broader context and enjoyment.

@fitzpatrickmathemati 4 ай бұрын

Thanks!

@shahulrahman2516 4 ай бұрын

Clear presentation

@RamzaAkram 5 ай бұрын

briliant 😊

@enesemrebagatar4449 6 ай бұрын

Nice explanation

@soulcutters375 7 ай бұрын

what does T on x really mean? at 6:51

@HenryKuemmel 7 ай бұрын

Transpose

@crazycrash1157 8 ай бұрын

Better than my professor thank you

@mihagolod2393 9 ай бұрын

This video helped me a lot and is very beautifully explained as in the examples, the tone of explanation as well as the tempo of the presentation. Thank you a lot!

@gonruz 10 ай бұрын

Isn't the plu method supposed to use partial gaussian pivoting?

@solomononuchefaruna5022 11 ай бұрын

Which programming language did u use and what is the name of the IDE

@stefanpricopie8529 11 ай бұрын

Such a clear and intuitive explanation! Thank you for posting this series 🙏🏻

@user-xf3gs8lm8w Жыл бұрын

Bless

@jesusisea3774 Жыл бұрын

Cool video, thank you

@tariqahassan5692 Жыл бұрын

Hi there , please can you explain what you mean by singular value ??

@allanbochenek1420 11 ай бұрын

What I think he means by singular value is that once you have the decomposition A = U(sum)V* and you then compress it following A ≈ ơ1 u1v*1 + ... ơk ukv*k, to get the rank one approximation you take the first set of values (ơ1 u1v*1) and multiple that (as opposed to all the values ơk ukv*k) to get the approximation. Singular is being used to describe the first (or as he described in class most 'important') term that is being multiplied for the approximation. Totally could be wrong, but I believe that is the case.

@Chetulertusurunu Жыл бұрын

Best explanation of definiteness i have seen, thank you!

@yolo13031 Жыл бұрын

you are amazing!

@robanattaz Жыл бұрын

this calculation is wrong

@fitzpatrickmathemati Жыл бұрын

Which part? I just double-checked and everything looks correct.

@robanattaz Жыл бұрын

@@fitzpatrickmathemati L and U are wrong, P is correct. I did matrix multiplication and your PA is not equal to LU.

@fitzpatrickmathemati Жыл бұрын

@@robanattaz I just triple-checked all the matrix multiplication. These matrices are correct.

@fitzpatrickmathemati Жыл бұрын

Copy-paste the following code into Sage Cell Server: sagecell.sagemath.org/ P = matrix(ZZ, [[1, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [0, 1, 0, 0]]) A = matrix(ZZ, [[2, -7, 8, -9, -17], [-6, 21, -24, 27, 59], [10, -24, 5, -29, -34], [12, 2, -92, 15, 87]]) L = matrix(ZZ, [[1, 0, 0, 0], [5, 1, 0, 0], [6, 4, 1, 0], [-3, 0, 0, 1]]) U = matrix(ZZ, [[2, -7, 8, -9, -17], [0, 11, -35, 16, 51], [0, 0, 0, 5, -15], [0, 0, 0, 0, 8]]) P*A == L*U The output is 'True'.

@kidusalemayehu4803 Жыл бұрын

tnx dude

@helsinkilive7694 Жыл бұрын

Thank you!!!

Жыл бұрын

Broh. I just fucking loved this list. <3 Thanks!

@jobaidajarin356 Жыл бұрын

All 5 videos of this series were a great help to me. Thank you very much.

@_BhagavadGita Жыл бұрын

Thank you.

@gregoriovilardo Жыл бұрын

Hi, how do you prove that the trace and the determinant are those coeficient ?

@emaliane3373 Жыл бұрын

thank you so much for the video!

@josenascimento2992 Жыл бұрын

thank u bro

@JohnBako Жыл бұрын

which algorithm is used? partial pivoting?

@sushantgiri2562 2 жыл бұрын

Very good lecture.. Good explanation

@haggaichada2715 2 жыл бұрын

Wonderful

@motherisape 2 жыл бұрын

no one can find Part one lol

@shivamsinghaswal4995 2 жыл бұрын

Great explanation. Thank you!!

@UsernameUndef1ned 2 жыл бұрын

I don’t think this proves the orthogonality between two or more eigenvectors of the same eigenvalue

@jesusgarciagutierrez7301 2 жыл бұрын

Thank you so much for this video, wonderful explanation

@aaaaaa-rr8xm 2 жыл бұрын

Thanks for the video! I hope you keep doing more like this

@xSpaceTimeContinuum 2 жыл бұрын

Very helpful ! Thank you

@loneop69 2 жыл бұрын

god

@franh961 2 жыл бұрын

Thx ❤❤

@C.Creams1 2 жыл бұрын

Y is the i in (1-i) not changed to conjugate in the 3rd line?

@rowanpeters868 11 ай бұрын

goobldy goobers

@MathematicsVillage-xq3cf 2 жыл бұрын

Good

@cvanaret 2 жыл бұрын

Thanks for your videos! What I didn't understand is "S indefinite => S != LDL^T" in the algorithm. I got that row swaps imply indefiniteness, but you showed before in your 3x3 example that indefinite matrices can have LDL^T factorizations. So why would the algorithm terminate because of indefiniteness?

@fitzpatrickmathemati 2 жыл бұрын

Glad you enjoyed the video! The algorithm says: "if a row switch is required, then S is indefinite but S != LDL^T". This is not the same as saying that indefiniteness implies no factorization. In other words: "the only matrices that do not factor as S = LDL^T are *some* of the indefinite matrices" Does this help?

@cvanaret 2 жыл бұрын

@@fitzpatrickmathemati OK I get it: the indefinite matrices that produce a row swap cannot be factored. Thanks for your reply!

@ljduke12manster 2 жыл бұрын

Great, this course is a great introduction to linear algebra

@ChristianWBrown-ex6mc 2 жыл бұрын

what is "gramion?" Never heard that one. I think it might me A^tA. That right?

@fitzpatrickmathemati 2 жыл бұрын

Yes, the "Gramian" is A^TA: en.wikipedia.org/wiki/Gram_matrix It's not a commonly used term, but I find it useful to emphasize it when teaching about matrices.

@mohamedrefaat197 2 жыл бұрын

Thanks for these valuable lectures! Could you please guide me to the ones that come before this one? which list should I check before this list? Best!

@hariya99 2 жыл бұрын

Thank you for this very good explanation!

@damny0utoobe 2 жыл бұрын

Dot product of complex vectors...bookmarked

@fouji_riyan 2 жыл бұрын

Amazing sir....I from india..state Assam

@princeofpeach2892 2 жыл бұрын

ly = pb for y is the same as ly = b for y or not?

@fitzpatrickmathemati 2 жыл бұрын

Ly=Pb is a different system than Ly=b, so these are not the same.

Ең жақсы KZbin

Пікірлер