Applied Linear Algebra Coaching & Tuition Classes

Applied Linear Algebra Coaching & Tuition Classes 

Call For The Best Applied Linear Algebra Coaching & Tuition Classes In Noida

Vector Algebra:

Introduction to scalars and vectors, Vectors in the plane, Scalar and vector products, Lines in R2, R 3 and planes, Spheres, Orthogonal projections, Perpendicular distance from a point to a line and a plane, Vector spaces, Subspaces, Linear combinations, Linearly dependent and Independent set of vectors, Spanning of a vector spaces, Bases of a vector spaces and its applications in engineering and Business.

Matrix Algebra:

Introduction to matrices, Matrix operations, Inverse Matrix, Rank of a Matrix, Echelon form of a Matrix and its applications in our daily life situation problems, i-e in line-communication as Air-lines, Telephone-lines, Connecting cities by roads.

Determinants:

Determinants and its properties, Inverse of a matrix, Rank of a matrix, linearly dependent and independent by determinants.

Linear system of equations:

Independent, Dependent and Inconsistent system of equations and its graphical representation, Trivial and non-trivial solutions of homogeneous system of linear equations and its applications as linear models in Business, Economics, Science, Electric Circuits and other branches of engineering. Solution of linear system of equations by determinants and its applications as Leontief input-output matrix of the economy, Coding and decoding theory.

Linear Transformations:

Reflection operators, Projection operators, Rotation operators, Shear in x and y directions, Dilation and Contraction.

Eigenvalues and Eigenvectors:

Eigenvalues and eigenvectors and its applications as deformation, Markov processes as Mass-transit problems, Forecasting of weather and to develop the solution of the system of differential equations for mechanical system/electrical system and civil engineering, especially in public health engineering problems.

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