This video explains how to find the inverse of a 2 by 2 matrix using a formula and how to find the inverse of 3 by 3 matrix using an augmented matrix. Both matrices have variable entries or elements.
VII. Linear Algebra
(Ex 3.2.7) Determine an Unknown Entry that Makes a 3 by 3 Matrix Not Invertible
This video explains how to find an unknown entry or element in a 3 by 3 matrix that makes the matrix not invertible.
(Ex 3.2.6) Determine an Unknown Entry that Makes a 3 by 3 Matrix Not Invertible
This video explains how to find an unknown entry or element in a 3 by 3 matrix that makes the matrix not invertible.
(3.2.4B) Solving a System of Linear Equations Using a Matrix Equation
This lesson explains how to solve a system of equations using a matrix equation.
(3.2.4A) Solving a System of Linear Equations Using an Augmented Matrix
This lesson explains how to solve a system of equations using an augmented matrix.
Determine the Equation of a Tangent Line and Normal Line to a Function
This video explains how to determine the equation of the tangent line and equation of the normal line to a given function at a given point.
Determine the Fundamental Subspaces of a Matrix Given the Singular Value Decomposition(2 by 3)
This is video explains how to determine the 4 fundamental subspaces of a matrix given the singular value decomposition of the matrix.
Determine the Fundamental Subspaces of a Matrix (2 by 3)
This is video explains how to determine the 4 fundamental subspaces of a matrix.
Determine the Singular Value Decomposition of a Matrix
This video explains how to determine the singular value decomposition of a matrix.
Determine the Singular Values of a Matrix
This video explains how to determine the singular values of a matrix.