Linear Systems: Properties of the Four Matrix Subspaces
In this four matrix subspaces worksheet, students identify statements which are always true for given matrices. Students are given five matrices and a list of ten statements.
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Numerical Analysis: Successive Over-Relaxation for Linear Systems
In this successive linear systems worksheet, students use a matrix representation of iterative schemes for linear systems. They define a positive definite matrix and explore the Kahan Theorem. This two-page worksheet contains...
Higher Ed Math
Matrix Multiplication as Composition | Essence of Linear Algebra, Chapter 4
Take a different view at matrix multiplication. Based on vector transformations, the video presents matrix multiplication as the result of the composition of multiple linear transformations. The presentation explains the numerical...
10 mins 11th - Higher Ed Math CCSS: Adaptable
Inverse Matrices, Column Space and Null Space | Essence of Linear Algebra, Chapter 6
Determine the geometric representation to the solution of a system of linear equations. The resource shows how scholars can represent a system of linear equations as a linear transformation. The video discusses using an inverse matrix to...
12 mins 11th - Higher Ed Math CCSS: Adaptable
Change of Basis | Essence of Linear Algebra, Chapter 9
It is all about perspective. A video introduces the idea that the view of a vector all depends upon the perspective of the basis vectors. Knowing how to go from one coordinate system's basis vectors to another system's basis vectors...
13 mins 11th - Higher Ed Math CCSS: Adaptable