Rahul M R Salimath
Tutored more than 70+ students across all over the globe, with the Boards of the respected country along with the competitive exams.
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Rahul M R Salimath
Bachelors degree
/ 55 min
Rahul - Know your tutor
•Tutored more than 70+ students of Grade 4 - 12, from Boards including IB, IGCSE, CAIE, AS & A Levels, CBSE, NESA, etc. and students from India, USA, UK, New Zealand, Australia, Singapore, UAE, Germany and many more, with personal ATAR Score between 88-93 %. •Tutored for Exams : International Math Olympiad, SAT, NAPLAN, AS & A Levels, Hong Kong Math Olympiad (HKIMO), CDS (Math), AFCAT. •More than 5 years of experience in Online Teaching from Freelancing to working for EdTech Companies like Codingal Technologies Pvt Ltd., PlanetSpark, Otoo Tuitions and Aimers Online Classes Pvt Ltd. * Proven Experience of explaining complex concepts in simple manner effectively, using the split and expose method, real life scenarios too helped alot in visualizing many concepts of how the concepts being taught can be applied on day to day life. * Teaching always backed by effective previous year paper analysis, which in return gives shape to form a strategy based on repeating pattern or on those concepts which are to be aligned into the paper. This is the most crucial and proven strategy that, solving and analyzing pattern through previous year papers has always been fruitful for both the me and my students.
Meet Rahul
Rahul graduated from KLE Technological University
Specialities of your tutor
State-Specific Standards (USA)
Common Core State Standards - CCSS (USA)
Australian Curriculum (AU)
International Baccalaureate (IB)
Provincial-specific curriculum (CA)
GCSE (UK)
Test prep strategies
Practice Tests
New Zealand Curriculum - NZC (NZ)
Math Tricks and Hacks
Homework help
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Student types for classes
Home schooled
College students
High School students
ADHD
Elementary School students
Middle School students
Rahul also teaches
Algebra
Algebra 2
Arithmetic
Calculus
Calculus 2
Calculus 3
Mathematics concepts taught by Rahul
Student and Tutor reviewed the process of calculating Eigenvalues and Eigenvectors for a 3x3 matrix. They practiced determining Eigenvalues by finding the determinant of `(A - λI)` and subsequently derived Eigenvectors by substituting these values into `(A - λI)x = 0`. The Student was encouraged to practice additional problems, including completing the eigenvector calculation for a specific eigenvalue, and to communicate any doubts via chat.
Eigenvalues (λ) for 3x3 Matrices
Solving for Eigenvectors (x) Using Eigenvalues
Handling Free Variables and Scaling Eigenvectors
Student and Tutor reviewed the calculation of eigenvalues for a 2x2 matrix, successfully identifying them. The session then introduced the process of finding eigenvectors, working through an example problem step-by-step. The student received additional practice questions, including 2x2 and 3x3 matrices, for independent revision.
Eigenvalues for 2x2 Matrices
Matrix-Vector Multiplication (2x2 with 2x1)
Eigenvectors for 2x2 Matrices
Student and Tutor reviewed the student's homework on polynomial division. The session then focused on advanced matrix operations, including calculating eigenvalues for 2x2 matrices with and without unknown variables, and initiating the process of finding corresponding eigenvectors. The Student was assigned to complete the calculation of the second eigenvector as homework, and 'diagonalizing matrices' was planned for the next class.
Calculating Eigenvalues (λ) for 2x2 Matrices
Solving Quadratic Equations for Eigenvalues (Special Case: c=0)
Eigenvalues in Terms of an Unknown Variable
Calculating Eigenvectors (X)
Polynomial Division with Remainders
The Student and Tutor focused on practicing polynomial long division, working through examples of quadratic expressions divided by linear expressions. They covered cases that resulted in both zero and non-zero remainders, with the Tutor also demonstrating the middle term split method for quadratic factorization. The Tutor plans to send the Student additional practice questions.
Factoring Quadratic Equations (Middle Term Split)
Handling Remainders in Polynomial Division
Interactive Whiteboard: PensilLab Features
Efficient Navigation & Use of PensilLab
Polynomial Long Division
The Tutor and Student worked on solving quadratic equations without a constant term, demonstrating the factoring process. They then progressed to finding the eigenvalues of a 3x3 matrix, which involved calculating its determinant to derive a cubic characteristic equation, followed by using polynomial long division and factorization to find its roots. The Tutor was advised to review the solution after class.
Solving Quadratic Equations by Factoring (Missing Constant)
Eigenvalue Calculation for 3x3 Matrices (A - λI)
Determinant Calculation for 3x3 Matrices
Solving Cubic Equations: Factor Theorem & Polynomial Long Division
Roots and Factors of Polynomials
The Student and Tutor reviewed the process of finding eigenvalues for 2x2 matrices. They practiced using the formula `det(A - λI) = 0` to derive quadratic equations, which were then solved using both the quadratic formula and the product sum (middle term split) factorization method. Homework on quadratic equations was planned for further practice.
Characteristic Equation (A - λI = 0)
Determinant of a 2x2 Matrix
Solving Quadratic Equations: Quadratic Formula
Solving Quadratic Equations: Product-Sum Method (Middle Term Split)
Polynomial Degree and Number of Solutions
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