Eigen values and Eigen Vectors in Tamil | Unit 1 | Matrices | Matrices and Calculus | MA3151
Symmetric Matrices with Non-Repeated Eigen Values
UNIT I MATRICES
Eigenvalues and Eigenvectors of a real matrix - Characteristic equation - Properties of Eigenvalues and Eigenvectors - Cayley - Hamilton theorem - Diagonalization of matrices by orthogonal transformation - Reduction of a quadratic form to canonical form by orthogonal transformation - Nature of quadratic forms - Applications : Stretching of an elastic membrane.
UNIT II DIFFERENTIAL CALCULUS
Representation of functions - Limit of a function - Continuity - Derivatives - Differentiation rules (sum, product, quotient, chain rules) - Implicit differentiation - Logarithmic differentiation - Applications : Maxima and Minima of functions of one variable.
UNIT III FUNCTIONS OF SEVERAL VARIABLES
Partial differentiation - Homogeneous functions and Euler’s theorem - Total derivative - Change of variables - Jacobians - Partial differentiation of implicit functions - Taylor’s series for functions of two variables - Applications : Maxima and minima of functions of two variables and Lagrange’s method of undetermined multipliers.
UNIT IV INTEGRAL CALCULUS
Definite and Indefinite integrals - Substitution rule - Techniques of Integration : Integration by parts, Trigonometric integrals, Trigonometric substitutions, Integration of rational functions by partial fraction, Integration of irrational functions - Improper integrals - Applications : Hydrostatic force and pressure, moments and centres of mass.
UNIT V MULTIPLE INTEGRALS
Double integrals - Change of order of integration - Double integrals in polar coordinates - Area enclosed by plane curves - Triple integrals - Volume of solids - Change of variables in double and triple integrals - Applications : Moments and centres of mass, moment of inertia.
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@user-gy6mw7ge7z
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@marvelstudio6371
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@dhinakarmech7864
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@@dhinakarmech7864 6th
தமிழில் தெளிவாக நடத்தினீர்கள் எங்கள் ஆசிரியரை விட மிகவும் தெளிவாக புரிந்தது நீங்கள் நடத்தியது மிக்க நன்றி உங்களின் சேவை இளைஞர்களுக்கு தேவை
@AnuKishor-nn9dj
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@karan0183
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Yes
@saravanakumar2927
10 ай бұрын
Same 🎉
@Ram45-fe1se
8 ай бұрын
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@AshokKumar_2216
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@4G_Silver_Academy_தமிழ்
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Sure
Maths ella unit kkana videos um podunga sir.. Please sir🙏🙏🙏🙏🙏🙏🙏
@riswathriswath7114
Жыл бұрын
2unit upload pnirikaangala?
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Bro eigen vector formula (A-Lamda I )=0
Thank You Sir Ithe Maathiri Theliva Sollunga Pothum 👍👍
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Thank you so much sir ithu varaikkum matrix kastam ninachen ipo easy ya purijuduchu
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Vera maari Thalaiva......
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@4G_Silver_Academy_தமிழ்
Жыл бұрын
Thanks👍
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@Sathiswaran-bk9od
9 ай бұрын
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Sir symmetric ah yirundha yendha method use pannanum, non-symmetric ah yirundha yendha method podanum
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@sathish2838
7 ай бұрын
🤣🤣🤣🤣🤣🤣🤣🤣🤣🤣
Thanks for your videos. 🤝
Two same eigen value how to find vector sir
💥💥💥
Good explanation sir💐
Sir ithula lamda value zero also we can take Or not sir
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@4G_Silver_Academy_தமிழ்
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Thanks
@notHUMAN339
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Rompa natri anna😊
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@longdistancerelation2465
2 жыл бұрын
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sir 1st factor la lamda - 1 pottigalla athila -1 vantha +1podanuma
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Sir but Eigen vector formula is (A-lamda×Identify matrix)X=0
Nice
Sir eigen vectors formula is (A-|\ I) X=0 dhanna sri
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Sir please upload more videos for Engineering maths Matrix and calculus please sir it's a humble request sir
@vishweshwaranm1877
Жыл бұрын
And other lessons also sir please
@4G_Silver_Academy_தமிழ்
Жыл бұрын
Sure
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Bro I had a dout can you clear for me there are different books they were different problems is it normal.. In clgs question will not asked by the exercise problem they give has own and creative question?
@4G_Silver_Academy_தமிழ்
9 ай бұрын
Method is very important They will ask creative problems based on the methods
@user-yi5su3jl7n
9 ай бұрын
@@4G_Silver_Academy_தமிழ் thanks for you confirmation
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@4G_Silver_Academy_தமிழ்
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Thanks
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Bro adula (A-lamda( i) ) X = 0 pota konja clear aa irruku But thanks bro
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