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Linear Algebra - Volume 1
2 DVD Set! - 6 Hour Course!
DVD Chapter Index Disc 1
Sect 1: Matrices, Elements, and Transpose
Sect 2: n-Tuples and Matrix Arithmetic, Part 1
Sect 3: n-Tuples and Matrix Arithmetic, Part 2
Sect 4: Matrix Multiplication
Sect 5: The Vector Dot Product
Sect 6: Special Matrices
Sect 7: The Norm of a Vector
Sect 8: Unit Vectors in any Direction
Sect 9: Vector Addition and Triangle Inequalities
Disc 2
Sect 10: Orthogonal and Orthonormal Vectors
Sect 11: Solve Systems of Equations with Row Reduction, Part 1
Sect 12: Solve Systems of Equations with Row Reduction, Part 2
Sect 13: Solve Systems of Equations with Row Reduction, Part 3
Sect 14: Solve Systems of Equations with Row Reduction, Part 4
Sect 15: Solve Systems of Equations with Row Reduction, Part 5
Sect 16: Homogeneous Systems of Equations
Sect 17: Inverse of a 2x2 Matrix
Sect 18: Inverse of a 3x3 and Larger Matrix
Sect 19: Solve Systems of Equations with Inverse Matrices
List Price: R650.85 Our Price: R520.68 You Save: 20%
Total DVD Running Time: 6 Hours
Description
Linear Algebra is a course that is usually taken by Sophomore or Junior students in Engineering, Science, and Mathematics. There are a vast array of topics in Linear Algebra that will be of practical use to all students as they learn to solve real-world problems in more advanced classes.
This course begins with a review of matrices and then explores the concept of a vector as a matrix. Next, we learn how to add and subtract matrices and vectors and how to multiply them by a scalar quantity.
Next, we discuss the norm (magnitude) of a vector and learn about the associated triangle inequalities. Then, we spend a great deal of time learning how to solve systems of equations by matrix row reduction operations, including homogeneous systems. We spend a good deal of time discussing how to handle systems with an infinite set of solutions and how to properly solve for and write down the answer.
Finally, we introduce the concept of a matrix inverse and learn how to calculate an inverse of any size. We also learn how to solve a system of equations using the matrix inverse.
The easiest way to learn this material is through step-by-step video lessons!
How are the MathTutorDVD Tutorial's different?
The answer is simple. Most instruction involves a lengthy discussion of the theory before instructing the student in how to solve problems.
In the vast majority of the cases the student quickly gets bored and frustrated by the time he or she starts to solve the problems. This course, in contrast, teaches all of the concepts by working fully worked problems step-by-step, which is a much more engaging way to learn.
Exceptional value and affordability!
MathTutorDVD believes in providing value for our customers. All MathTutor DVD Tutorials cover between 3 and 14 hours of lectures, and considering the cost, each MathTutor DVD set therefore costs LESS than additional private tuition, and you may rewatch the lessons as many times as needed to master the material!
What is our teaching style like?
All topics on this DVD are taught by working example problems. There are no traditional lectures of background material that won't help you solve problems and improve your skills. We believe in teaching-by-doing and that is what you will receive by watching this DVD.
Undetermined coefficients is explained, for example, by working many problems in step-by-step detail. We begin with the easier problems and work our way up to the harder problems.
The student immediately gains confidence, does not get bored, and quickly feels like he or she can conquer the material. This method is extremely powerful and has proven itself time and again. Perhaps most importantly, problem solving skills are honed early on that will help with homework and taking exams even after watching the very first lesson.
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