5 MIN
LESSON
MathematicsLinear Algebra
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General information
nick  srikanth92 

country  India 
languages  English 
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Education
I am currently pursuing Ph.D in Mathematics at Indian Institute of Science(IISc),Bangalore.
I have completed M.Sc in Mathematics from Sri Sathya Sai Institute of Higher Learning in 2015.
I have 4 years of teaching experience , conducting tutorial sessions for UG students at IISc.
I am passionate about teaching mathematics, and explaining the concepts with reallife examples.
Experience: 4 years
About me
Covers Linear Algebra required for Undergraduate Level in Most Engineering Courses.
Detailed Explanation of various concepts such as Systems of linear equations, Matrices, Elementary row operations, Rowreduced echelon matrices.Vector spaces, Subspaces, Bases and dimension, Ordered bases and coordinates. Linear transformations, Ranknullity theorem, Algebra of linear transformations, Isomorphism, Matrix representation, Linear functionals, Annihilator, Double dual, Transpose of a linear transformation. Characteristic values and characteristic vectors of linear transformations, Diagonalizability, Minimal polynomial of a linear transformation, CayleyHamilton theorem, Invariant subspaces, Directsum decompositions, Invariant direct sums, The primary decomposition theorem, Cyclic subspaces and annihilators, Cyclic decomposition, Rational, Jordan forms,Inner product spaces, Orthonormal bases, GramSchmidt process.
Lots of Problems for Practice.
Tests for Evaluations are available at the end of each session.