Lecture 3: Matrices and Inverse Matrices
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Lesson Description:
Learn how to use matrices and find inverse matrices as they pertain to vectors.
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.
Additional Resources:
- Transcript of Lesson - Written transcript from this lesson.
- Lecture Notes - Lecture Notes from this lesson.
- Problem Set - A problem set with some problems from this lecture.
Questions answered by this video:
- 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?
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Staff Review
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. -
