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# Linear Algebra and Geometry 1

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\$9.99 Coupon code for Linear Algebra and Geometry 1 Udemy Course. This is an exclusive discount coupon from the course instructor, it will be active for few days. Check ENROLL NOW button to get a maximum discount. We manually verified coupon code on July 3rd, 2024 .

Systems of equations, matrices, vectors, and geometry
Instructed by Hania Uscka-Wehlou 46 hours on-demand video & 361 downloadable resources

## What you’ll learn

• How to solve problems in linear algebra and geometry (illustrated with 175 solved problems) and why these methods work.
• Solve systems of linear equations with help of Gauss-Jordan or Gaussian elimination, the latter followed by back-substitution.
• Interpret geometrically solution sets of systems of linear equations by analysing their RREF matrix (row equivalent with the augmented matrix of the system).
• Matrix operations (addition, scaling, multiplication), how they are defined, how they are applied, and what computational rules hold for them.
• Matrix inverse: determine whether a matrix is invertible; compute its inverse: both with (Jacobi) algorithm and by the explicit formula; matrix equations.
• Determinants, their definition, properties, and different ways of computing them; determinant equations; Cramer’s rule for n-by-n systems of equations.
• Vectors, their coordinates and norm; geometrical vectors and abstract vectors, their addition and scaling: arithmetically and geometrically (in 2D and 3D).
• Vector products (scaling, dot product, cross product, scalar triple product), their properties and applications; orthogonal projection and vector decomposition.
• Analytical geometry in the 3-space: different ways of describing lines and planes, with applications in problem solving.
• Compute distances between points, planes and lines in the 3-space, both by using orthogonal projections and by geometrical reasoning.
• Determine whether lines and planes are parallel, and compute the angles between them (using dot product and directional or normal vectors) if they intersect.
• How to geometrically interpret n-by-2 and n-by-3 systems of equations and their solution sets as intersection sets between lines in 2D or planes in 3D.
• Understand the connection between systems of linear equations and matrix multiplication.
• Invertible Matrix Theorem and its applications; apply determinant test in various situations.

## Who this course is for:

• University and college engineering

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