Lecture 3: Matrices and Inverse Matrices

Lecture 3: Matrices and Inverse Matrices
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3818 views, 3 ratings - 00:51:04
Taught by OCW
Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 15, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.
Learn how to use matrices and find inverse matrices as they pertain to vectors.
  • How do you write a matrix from vectors?
  • How do you find the determinant of a vector matrix?
  • Why is A x B the opposite of B x A?
  • Why does A x A = 0?
  • Why is the cross product of a vector with itself equal to 0?
  • How do you find the equation of a plane that contains three points in space?
  • How do you find a normal vector that is perpendicular to a plane?
  • What is a triple product?
  • How do you multiply matrices?
  • How do you find the inverse of a matrix?
  • What is the identity matrix?
  • When can two matrices be multiplied?
  • What is the formula to find an inverse matrix?
  • What is an adjoint matrix?
  • How do you find the determinant of a matrix using minors?
  • What are cofactors of a matrix?
  • What is the transpose of a matrix?
  • How do you write a matrix from vectors?
  • How do you find the determinant of a vector matrix?
  • Why is A x B the opposite of B x A?
  • Why does A x A = 0?
  • Why is the cross product of a vector with itself equal to 0?
  • How do you find the equation of a plane that contains three points in space?
  • How do you find a normal vector that is perpendicular to a plane?
  • What is a triple product?
  • How do you multiply matrices?
  • How do you find the inverse of a matrix?
  • What is the identity matrix?
  • When can two matrices be multiplied?
  • What is the formula to find an inverse matrix?
  • What is an adjoint matrix?
  • How do you find the determinant of a matrix using minors?
  • What are cofactors of a matrix?
  • What is the transpose of a matrix?
This lesson is crucial to understanding vectors in this course. Several applications of vectors are discussed, such as finding the equation of a plane that contains three points in space. You will also learn to write a vector matrix, find the determinant, and find inverse matrices. If you have not had a Linear Algebra course, this is a vital lecture. It is a nice refresher either way, however.
  • Currently 4.0/5 Stars.
Reviewed by MathVids Staff on March 15, 2009.
thnx for calculation of inverse of matrix.
  • Currently 5.0/5 Stars.
Reviewed by cinsdikici on November 30, 2011.
 
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