Khan Academy
Khan Academy: Finding Inverses of Matrices: Example of Finding Matrix Inverse
Example of calculating the inverse of a matrix
Khan Academy
Khan Academy: Linear Algebra: Inverting Matrices (Part 2)
Video example of finding the inverse of a 3 by 3 matrix. Includes using expansion of minors to determine the determinant and finding the matrix of cofactors and adjugate or adjoint matrix. This video also appears in the strand Algebra:...
Khan Academy
Khan Academy: Linear Algebra: Inverting Matrices (Part 2)
Video example of finding the inverse of a 3 by 3 matrix. Includes using expansion of minors to determine the determinant and finding the matrix of cofactors and adjugate or adjoint matrix. This video also appears in the strand Algebra:...
Khan Academy
Khan Academy: Inverting Matrices: Inverting Matrices (Part 2)
Inverting a 3x3 matrix. This video includes using expansion of minors to determine the determinant and finding the matrix of cofactors and adjugate or adjoint matrix.
Khan Academy
Khan Academy: Transpose of a Matrix: Rank(a) = Rank(transpose of A)
On this video tutorial students explore the rank of a matrix and the rank of the transpose.
Khan Academy
Khan Academy: Transpose of a Matrix: Transpose of a Matrix Product
This videos shows how to take the transpose of the product of two matrices.
Khan Academy
Khan Academy: Linear Algebra: Singular Matrices
Video explains why a matrix is singular if its determinant is 0. Relates why the inverse does not exist to solving systems of linear equations and vector combinations. This video also appears in the strand Algebra: Matrices. [14:27]
Khan Academy
Khan Academy: Inverting Matrices: Singular Matrices
Video explains why a matrix is singular if its determinant is 0. Relates why the inverse does not exist to solving systems of linear equations and vector combinations.
Khan Academy
Khan Academy: More Determinant Depth: Determinant When Row Is Added
A video lesson explaining the determinant rule for the very special case when three matrices are identical except for one row, and that row of the third matrix is the sum of those rows in the other two matrices.
Khan Academy
Khan Academy: Transformations and Matrix Multiplication: Matrix Product Examples
Students explore matrix transformations by examining an example of taking the product of two matrices.
Khan Academy
Khan Academy: Transpose of a Matrix: Determinant of Transpose
This videos offers a proof by induction that transposing a matrix does not change its determinant.
Khan Academy
Khan Academy: Any Subspace Basis Has Same Number of Elements
Video shows proof that any basis of a particular subspace has the same number of elements. Leads up to give the definition of dimension.
Khan Academy
Khan Academy: Basic Matrix Operations: Introduction to the Matrix
A video introducing matrices.
Khan Academy
Khan Academy: Finding the Determinant of a 3 X3 Matrix Method 1
A video showing how to find the determinant of a 3 x 3 matrix.
Khan Academy
Khan Academy: Calculating Matrix of Minors and Cofactor Matrix
Inverting a 3x3 matrix then calculate the matrix of minors and the cofactor matrix.
Sophia Learning
Sophia: Introduction to Matrices and Their Dimensions
This video resource introduces matrices and describes how to determine their dimensions as well as name elements.
Sophia Learning
Sophia: Using Elementary Row Operations to Solve for Systems of Equations
This video lesson demonstrates how to solve a system of linear equations by using matrix row operations. Students can check their understanding with an assessment.
Khan Academy
Khan Academy: Inverting Matrices: Inverse of a 2 X2 Matrix
Example of calculating the inverse of a 2x2 matrix.
Virtual Nerd
Virtual Nerd: What Is a Matrix?
This tutorial explains what a matrix is, how they are used to solve problems, and how to find the dimensions of a matrix. [4:51]
Other
Identity Matrix and Inverses
Explains what is meant by an identity matrix and why it is important. This is followed by a discussion of inverses. Examples and explanations are very clear. [13:45]
Khan Academy
Khan Academy: Basic Matrix Operations: Transpose of a Matrix
A video of how to transpose a matrix. [3:42]
Khan Academy
Khan Academy: Solving Systems by Elimination: Reduced Row Echelon Form 1
Video shows how to use matrices and reduced row echelon form to simplify a system of 3 equations in 4 variables.
Khan Academy
Khan Academy: Inverting 3 X3 Part 2: Determinant and Adjugate of a Matrix
This is part two of video about 3x3 matrix inversion.