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Dr. Mathaholic
India
Приєднався 20 січ 2012
On my channel here, you will get flavours on topics in Mathematics. I have been into teaching line from past 11 years and currently I am teaching to Engineering Students. So you can mostly relate my contents to what Engineers learn mathematics during their Engineering.
Solution to Question 30 on Linear Algebra in GATE 2024 examination
Given a real subspace W of R4, let W⊥ denote its orthogonal complement with respect
to the standard inner product on R4. Let W1 = Span{(1, 0, 0,−1)} and W2 =
Span{(2, 1, 0,−1)} be real subspaces of R4.
The dimension of W⊥1 ∩ W⊥ over R is
equal to (answer in integer)
to the standard inner product on R4. Let W1 = Span{(1, 0, 0,−1)} and W2 =
Span{(2, 1, 0,−1)} be real subspaces of R4.
The dimension of W⊥1 ∩ W⊥ over R is
equal to (answer in integer)
Переглядів: 403
Відео
Solution to Question 19 on Linear Algebra in GATE 2024 Mathematics Examination.
Переглядів 229Місяць тому
Question 19 from the GATE 2024 examination on Mathematics. Let A = [ 0 2 2 0 ] and T : M2(C) → M2(C) be the linear transformation given by T(B) = AB. The characteristic polynomial of T is (A) X4 − 8X2 16 (B) X2 − 4 (C) X2 − 2 (D) X4 − 16
Solutions to Questions on Linear Algebra in GATE 2024 for Data Science and Artificial Intelligence
Переглядів 1,2 тис.Місяць тому
Question paper link: chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/gate2024.iisc.ac.in/wp-content/uploads/2024/DA24S1.pdf Answer key link: chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/gate2024.iisc.ac.in/wp-content/uploads/2024/DAFinalAnswerKey.pdf Rank of matrix: ua-cam.com/video/nJ3WRi8fLgA/v-deo.html Rank Nullity Theorem: ua-cam.com/video/hFPvHpsSJp0/v-deo.html Trick for subspac...
How to define Orthogonal matrices: Geometrically |Math Interview (Job/ Ph.D)
Переглядів 3945 місяців тому
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What are all subspaces of R2? Math job/ PhD Interview Question
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Linear Transformations : Geometrically
Переглядів 4,2 тис.7 місяців тому
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Introduction to F-distribution and when to use it along with examples
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Introduction to t-distribution and its connection with Z-distribution
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Difference between Sample means using central limit theorem
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Estimation Theory: Estimating single mean (Part-I)
Переглядів 2,2 тис.8 місяців тому
Estimation Theory: Estimating single mean (Part-I)
Sampling Distribution of Variance with the help of Chi Square Distribution
Переглядів 2 тис.8 місяців тому
Sampling Distribution of Variance with the help of Chi Square Distribution
Problems on Central Limit Theorem: Single Sample (From Walpole and Mayers Textbook)
Переглядів 9488 місяців тому
Problems on Central Limit Theorem: Single Sample (From Walpole and Mayers Textbook)
Understanding The Central Limit Theorem Using Examples
Переглядів 1,9 тис.8 місяців тому
Understanding The Central Limit Theorem Using Examples
Statistic | Sampling Distribution | Population | Sample | iiDs along with examples.
Переглядів 6438 місяців тому
Statistic | Sampling Distribution | Population | Sample | iiDs along with examples.
Conceptual lecture on Chi Squared distribution
Переглядів 8988 місяців тому
Conceptual lecture on Chi Squared distribution
Lecture 31: Normal Approximation to Binomial via Calculus
Переглядів 4,1 тис.Рік тому
Lecture 31: Normal Approximation to Binomial via Calculus
Lecture 32: Gamma Distribution | Concept, Mean, Variance and Examples
Переглядів 3,2 тис.Рік тому
Lecture 32: Gamma Distribution | Concept, Mean, Variance and Examples
Lecture 30: Examples on Normal Distribution & Standard Normal Distribution / Z- Distribution(Part 3)
Переглядів 678Рік тому
Lecture 30: Examples on Normal Distribution & Standard Normal Distribution / Z- Distribution(Part 3)
An Example on Basis and Dimension of U, V, U intersection V and U + V of a polynomial space
Переглядів 2,4 тис.Рік тому
An Example on Basis and Dimension of U, V, U intersection V and U V of a polynomial space
Lecture 29: Standard Normal Distribution or Z-Distribution| Conceptual lecture | Part 2
Переглядів 796Рік тому
Lecture 29: Standard Normal Distribution or Z-Distribution| Conceptual lecture | Part 2
Lecture 28: Normal Distribution of a Random Variable (Part 1)
Переглядів 1,1 тис.Рік тому
Lecture 28: Normal Distribution of a Random Variable (Part 1)
Proof of - Geometric Multiplicity is less equal Algebraic Multiplicity
Переглядів 2,4 тис.Рік тому
Proof of - Geometric Multiplicity is less equal Algebraic Multiplicity
Lecture 27: Proof of --- Limit of binomial distribution is Poisson Distribution.
Переглядів 749Рік тому
Lecture 27: Proof of Limit of binomial distribution is Poisson Distribution.
Lecture 26: Poisson Distribution | Concept and Examples using table
Переглядів 1,5 тис.Рік тому
Lecture 26: Poisson Distribution | Concept and Examples using table
Row / Column operations on a matrix is equivalent to Pre / Post Matrix Multiplication.
Переглядів 1,4 тис.Рік тому
Row / Column operations on a matrix is equivalent to Pre / Post Matrix Multiplication.
Lecture 25 : Geometric Distribution | Special case of Negative Binomial Distribution
Переглядів 1,2 тис.Рік тому
Lecture 25 : Geometric Distribution | Special case of Negative Binomial Distribution
Lecture 24: Negative Binomial Distribution | Concept and Examples
Переглядів 4,3 тис.Рік тому
Lecture 24: Negative Binomial Distribution | Concept and Examples
Lecture 23: Hypergeometric distribution | Concept, Examples, connection with Binomial distribution
Переглядів 933Рік тому
Lecture 23: Hypergeometric distribution | Concept, Examples, connection with Binomial distribution
Lecture 22: Mean and variance of binomial distribution | Formula and Examples
Переглядів 644Рік тому
Lecture 22: Mean and variance of binomial distribution | Formula and Examples
Complement in Conditional Probability | P(A' | B) = 1 - P(A | B)
Переглядів 9 тис.Рік тому
Complement in Conditional Probability | P(A' | B) = 1 - P(A | B)
Amazing video ❤
Thank you 😊
dude you saved me
Welcome 😀
😊
Solve the question. I want to calculation not an answer
Sorry but I didnt had time to solve in detail so I took the help of software..
@@DrMathaholic I already have the solution of this question but few steps I didn't understand that's by I took your lecture.
@Priya_Tiwari_537 oh okayy..
a) 0.1171 b) 0.03125
What is the intersection of square of these two matrix
Zero matrix.
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
A and B are disjoint. So intersection is empty and hence probability is 0.
how about this ,,, V = a 1 b c : a, b ∈ R under the usual matrix operations.
No. Because this set does not contain the zero vector, which is zero matrix.
Thank you soo much sir .. this was the simplest way someone made me understand !!
Thank you 😊
Really healpful😊
Thank you.. 😊
Great explanations!
Thank you..
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
Correct. Because of the condition given..
@@DrMathaholic Thanks Sir,that was very quick🙏💗
Sir, kindly make an video on quadratic forms
Sure.. I will try soon..
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…
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.
best video on yt for this particular topic 👌✨
Thank you 😊
I feal today, that i was really learn from UA-cam first time
Happy to hear that.. all d best 😊
Sir you "the legend" I would find more conceptual or Informative work , but this determination to deliver the concept in Unique ❤
Thank you 😊
Sir you "the legend" I would find more conceptual or Informative work , but this determination to deliver the concept in Unique ❤
Thank you 😊
Ans 17
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
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..
thank you so much sir
This video is amazing, thank you! You explain very well
Thank you
Thank you 😊
Superb 😊
Thank you 😊
Great sir
Thank you.. :)
Thank you for doing examples with nonzero constants and powers other than 1!
Welcome:)
Great way
Thank you 😊
Sir pls make video for how to prepare topic wise pyq stargies for calculas
Sure..I will try my best😊
@@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
12:41 cov = 1.60
"Show that W = {(x, y, z)|x = y and 2y = z} is a subspace of IR³." Sir is this a subspace?
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.
Thank you
Welcome :)
Explanation made it very easy to grasp the concept 🙏
Thank you 😊
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 ?
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..
@@DrMathaholic thank you sir
thanks !!
didn't understood 2nd property
Between timestamp 10:10 to 10:31 which step is unclear?
Sir plz do uniqueness theorem.
Best explanation!
Thank you 😊
book to refer plz?
Walpole and Mayers is a good book..
WOW! Great explanation Sir. You're a talented teacher 😄
Thank you 😊
Sir ,in that HW can you please say how to find that constant
Using Abel, you know it's a constant. To find the actual value, you need to find 2 linearly independent solutions which are Sin x and Cos x. Then find it's Wronskian, you will get W=1.
Thankyou
Welcome :)
plz explain hw question
You need to check 3 properties of vector space wrt scalar multiplication. Are you getting any doubt in proving any of those properties?
@@DrMathaholic i solve it n my ans is it is vector space buti m not sure
@@OTAKU_-mc1in Its a vector space.. Good work...
Thank God I stumbled upon your video. Great explanation Sir! Thank you!
Thank you 😊
incredible work 👏
Thank you 😊
Good morning sir, after a long time with good topic
Good morning, Yes, got very busy. But need to keep channel active so thought of this topic 😊
I am interested in Data Science and Artificial intelligence. What I have to do for the same. Please guide me sir.
@showkatahmad3479 1. See the syllabus. 2. Study all those topics. 3. Solve the sample question paper and current gate paper ( both available on iisc website). 4. Solve more questions, many are available online. 5. On NPTEL, there are courses on GATE, see them. It will help you. Do these things, you will b gate qualified 😊
Pdm
Thanks a lot sir, helped me before my exam.
Happy to know that 😊
sir dont you have any video related to that graph in which you teach how to draw that graphs
No... but in this Playlist I have given ideas on how to draw... Hope it will help.. Multiple Integration.: ua-cam.com/play/PLwaXU7G6Urbc0Yctvj9GKR9MwS5lpp_r8.html
Sir why u give the limit π or π\2
Best video on second shifting theorem all doubts clear in one class, Thank you sir
Happy to hear that 😊
9
18:22 sir the answer for direction for maximum change is -4/√97,-9/√97 with rate -√97 and when rate is zero the direction would be 1,-4/9 and -1,4/9.
Thank you for posting your answer 😊