8 ай бұрын
Пікірлер
@vrundpatel3291 15 сағат бұрын
sir i got a question telling me to find 3X3 matrix and they have given 2 eigne vectros and 3 eigen values out of which 2 are repeated how do i prove if the matrix is diagonalizable?
@DrMathaholic 15 сағат бұрын
@vrundpatel3291 i have 2 questions:: 1. Are all the entries real or complex numbers allowed? 2. You are saying that eigenvalues are , say, a,a,b, and eigenvector for a is v, and for b is w.
@vrundpatel3291 15 сағат бұрын
@@DrMathaholic I'll just type out the question for you sir: For a symmetric matrix A, the eigen vectors are (1,1,1) and (1,-2,1) corresponding to eigen values x1=6 and x2=12. If x3=6, find A
@DrMathaholic 15 сағат бұрын
@vrundpatel3291 symmetric matrices are orthogonally diagonalizable that means the matrix P is orthogonal. Eigenvectors of 6 are orthogonal to eigenvectors of 12. For 12, eigenvector is (1,-2,1) so take vector orthogonal to (1,-2 1). For ex. Take (-1,0,1). This is also orthogonal to first eigenvector of 6. Thus we have 3 orthogonal vectors and you have mateix P. Further P^-1 is nothing but P transpose.. so inverse of P is also easy to find..
@vrundpatel3291 14 сағат бұрын
@@DrMathaholic Thank you very much sir!
@sandeepsaini-IND Күн бұрын
Sir i got .. where i used d or where to use deba But as my stidying it from sc malik n arora boom There is comcept of continuity n all .. 😢
@REKHASHARMA14 5 күн бұрын
Thank u so much sir.
@DrMathaholic 5 күн бұрын
@@REKHASHARMA14 welcome..
@REKHASHARMA14 6 күн бұрын
Thank you so much sir
@DrMathaholic 5 күн бұрын
@@REKHASHARMA14 welcome :)
@abedulkareemqasim9441 7 күн бұрын
You are really Doctor of math in every respect man!
@DrMathaholic 7 күн бұрын
@abedulkareemqasim9441 Thanks man 😊
@abedulkareemqasim9441 8 күн бұрын
YOU ARE GENIOUS
@DrMathaholic 8 күн бұрын
@abedulkareemqasim9441 thank you for your kind words 😊
@erapdudon1475 9 күн бұрын
The unit for velocity should be ft/s not ft/s²
@kamrulhassan7157 10 күн бұрын
Thank you sir ❤
@DrMathaholic 10 күн бұрын
@@kamrulhassan7157 welcome 😊
@divyaagrawal1519 11 күн бұрын
Amazing explanation sir! Hats off to you!! 🙏
@DrMathaholic 11 күн бұрын
@divyaagrawal1519 thank you 😊
@kamrulhassan7157 12 күн бұрын
Great ❤
@DrMathaholic 12 күн бұрын
@@kamrulhassan7157 thank you..😊
@AshimGhosh-d9q 13 күн бұрын
Sir u r really great . I understand the topic very fast.
@DrMathaholic 13 күн бұрын
@@AshimGhosh-d9q thank you...happy learning..😊
@BhagyashreeBhoomshetty 13 күн бұрын
Thank you so much sir✨😊 Very clear explaination🙏
@DrMathaholic 13 күн бұрын
@@BhagyashreeBhoomshetty welcome...thank you :)
@showkatahmad3479 13 күн бұрын
Good Morning sir
@DrMathaholic 13 күн бұрын
@@showkatahmad3479 very gm...bolo...
@showkatahmad3479 13 күн бұрын
@@DrMathaholic I want to share some new mathematical concepts with you. Sir, how this is possible.
@DrMathaholic 13 күн бұрын
@showkatahmad3479 email me, I will share my number.. [email protected]
@AngelaZeng-v6y 13 күн бұрын
So helpful thank you!!
@DrMathaholic 13 күн бұрын
@@AngelaZeng-v6y welcome 😊
@BhagyashreeBhoomshetty 15 күн бұрын
Thank you sir❤ Well explained 🙏
@DrMathaholic 15 күн бұрын
@@BhagyashreeBhoomshetty thank you ..welcome 😊
@jeevan7657 22 күн бұрын
Thank you so much for your lectures 😀
@DrMathaholic 22 күн бұрын
@@jeevan7657 welcome 😊
@priyankas91 24 күн бұрын
Sir please explain this example:S={(x,y,z)/x≥y≥z},it is subspace or not
@DrMathaholic 23 күн бұрын
No, Take x= (3,2,1) and scalar c= -1. Then x vector is in the set S but c*x is not in S. So scalar multiplication fails.
@bryanbuildmindchanger1415 27 күн бұрын
Amazing video ❤
@DrMathaholic 27 күн бұрын
Thank you 😊
@hesammoradi8962 28 күн бұрын
dude you saved me
@DrMathaholic 27 күн бұрын
Welcome 😀
@Shaani-gt5pw 28 күн бұрын
😊
@Priya_Tiwari_537 29 күн бұрын
Solve the question. I want to calculation not an answer
@DrMathaholic 29 күн бұрын
Sorry but I didnt had time to solve in detail so I took the help of software..
@Priya_Tiwari_537 29 күн бұрын
@@DrMathaholic I already have the solution of this question but few steps I didn't understand that's by I took your lecture.
@DrMathaholic 29 күн бұрын
@Priya_Tiwari_537 oh okayy..
@user-qg2bb4vu4w Ай бұрын
a) 0.1171 b) 0.03125
@_stormmz Ай бұрын
What is the intersection of square of these two matrix
@DrMathaholic Ай бұрын
Zero matrix.
@yashtayade2127 Ай бұрын
sir P(A∪B) = P(A) + P(B) - P(A∩B) this the property why didn't you wrote the last term in all the cases
@DrMathaholic Ай бұрын
A and B are disjoint. So intersection is empty and hence probability is 0.
@user-bt3me2vz1m Ай бұрын
how about this ,,, V = a 1 b c : a, b ∈ R under the usual matrix operations.
@DrMathaholic Ай бұрын
No. Because this set does not contain the zero vector, which is zero matrix.
@SitalChhetri-ob8cc Ай бұрын
Thank you soo much sir .. this was the simplest way someone made me understand !!
@DrMathaholic Ай бұрын
Thank you 😊
@38RiteekaSehrawat Ай бұрын
Really healpful😊
@DrMathaholic Ай бұрын
Thank you.. 😊
@awusacollins Ай бұрын
Great explanations!
@DrMathaholic Ай бұрын
Thank you..
@Charan-yr9te Ай бұрын
Sir why we have to convert the differential eqn into i, is it because that we have been given the condition i(0)=0? at 19:12
@DrMathaholic Ай бұрын
Correct. Because of the condition given..
@Charan-yr9te Ай бұрын
@@DrMathaholic Thanks Sir,that was very quick🙏💗
@nagmaniprasad203 Ай бұрын
Sir, kindly make an video on quadratic forms
@DrMathaholic Ай бұрын
Sure.. I will try soon..
@prabakaranr2802 Ай бұрын
Hello sir, your explanation is awesome and exactly to the point of core. Can you please suggest me a book for conceptual understanding of linear algebra. or the book which you used for preparation…
@DrMathaholic Ай бұрын
Thank you.. There are several nice books- book by Gilbert strang on application of Linear Algebra, schaum series linear Algebra... For more theoretical, book by Hoffman kunz.
@user-qg9zd5sr3t Ай бұрын
best video on yt for this particular topic 👌✨
@DrMathaholic Ай бұрын
Thank you 😊
@aamishawan6463 Ай бұрын
I feal today, that i was really learn from KZfaq first time
@DrMathaholic Ай бұрын
Happy to hear that.. all d best 😊
@malikhassamzahid6301 Ай бұрын
Sir you "the legend" I would find more conceptual or Informative work , but this determination to deliver the concept in Unique ❤
@DrMathaholic Ай бұрын
Thank you 😊
@malikhassamzahid6301 Ай бұрын
Sir you "the legend" I would find more conceptual or Informative work , but this determination to deliver the concept in Unique ❤
@DrMathaholic Ай бұрын
Thank you 😊
@FunnyCondorBird-vs8nb Ай бұрын
Ans 17
@SHIVAKUMAR-xb9ru Ай бұрын
If the inverse linear transformation of 𝑇: ℝ3→ℝ3 is 𝑈(𝑥,𝑦,𝑧)=(𝑥+𝑦,𝑥+𝑧,𝑦+𝑧), then find T(𝑥,𝑦,𝑧). sir could you help me to do the problem
@DrMathaholic Ай бұрын
T(1,0,0)=(1,1,0) , T(0,1,0)=(1,0,1) T(0,0,1)=(0,1,1) Write these output column wise..
@SHIVAKUMAR-xb9ru Ай бұрын
thank you so much sir
@sleepeasyguitar9505 Ай бұрын
This video is amazing, thank you! You explain very well
@DrMathaholic Ай бұрын
Thank you
@DrMathaholic Ай бұрын
Thank you 😊
@Shaani-gt5pw Ай бұрын
Superb 😊
@DrMathaholic Ай бұрын
Thank you 😊
@Shaani-gt5pw Ай бұрын
Great sir
@DrMathaholic Ай бұрын
Thank you.. :)
@deborah380 Ай бұрын
Thank you for doing examples with nonzero constants and powers other than 1!
@DrMathaholic Ай бұрын
Welcome:)
@Shaani-gt5pw Ай бұрын
Great way
@DrMathaholic Ай бұрын
Thank you 😊
@AmanKhan-sj4zj Ай бұрын
Sir pls make video for how to prepare topic wise pyq stargies for calculas
@DrMathaholic Ай бұрын
Sure..I will try my best😊
@AmanKhan-sj4zj Ай бұрын
@@DrMathaholic thankyou sir actually I am in masters in mathmatics and I prepare for gate ma exam I want to pursue in mtech to crack gate
@namandhingra5579 Ай бұрын
12:41 cov = 1.60
@kukuyiehalem6391 Ай бұрын
"Show that W = {(x, y, z)|x = y and 2y = z} is a subspace of IR³." Sir is this a subspace?
@DrMathaholic Ай бұрын
Yes.. all terms of Linear and there is also no product of variables and there is no constant. So yes it's a subspace. Other way, W={ (x,x,2x) / x belongs to R}. Since y=x and z=2y=2x . So W is span of (1,1,2). So W is a subspace.
@Flynnfury Ай бұрын
Thank you
@DrMathaholic Ай бұрын
Welcome :)
@sakshihazari313 Ай бұрын
Explanation made it very easy to grasp the concept 🙏
@DrMathaholic Ай бұрын
Thank you 😊
@SHIVAKUMAR-xb9ru Ай бұрын
good evening sir! In question no 61 you said that sum of singular values is equal to trace of M (M is symmetric and +ve semidefinite)and also we know that sum of eigen values is also trace M .how the eigen values and singular values are equal ?
@DrMathaholic Ай бұрын
Sum is equal, if two expressions are equal that does not imply that each term in that expression is same. For ex: 2+ 5+ 10= 7+4+6 , sum is same but terms in that are not..
@SHIVAKUMAR-xb9ru Ай бұрын
@@DrMathaholic thank you sir
@alikhaled844 Ай бұрын
thanks !!
@user-nv6kf2rg5l 2 ай бұрын
didn't understood 2nd property
@DrMathaholic 2 ай бұрын
Between timestamp 10:10 to 10:31 which step is unclear?