Linear Systems: Review of Vectors
In this review of vectors worksheet, learners explore vectors and their uses. They multiply and subtract vectors and identify the linear combinations of given matrices. This two-page worksheet contains approximately ten problems.
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Independent and Dependent Systems
Learners practice their linear algebra skills with laser focus on the unique cases of independent and dependent systems in this short problem set and presentation. The pairing of the two concepts really brings into focus the difference...
10th - 12th Math CCSS: Adaptable
Solving Equations Involving Linear Transformations of the Coordinate Plane
How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...
11th - 12th Math CCSS: Designed
Systems of Equations and Inequalities
This is a comprehensive lesson on creating and solving equations and systems of equations and inequalities. Problems range from basic linear equations to more complex systems of equations and inequalities based on a real-world examples....
8th - 12th Math CCSS: Adaptable
New Review 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
New Review Linear Combinations, Span, and Basis Vectors | Essence of Linear Algebra, Chapter 2
What does it mean for two vectors to be linearly independent? The resource presents the basics of basis vectors and linear combinations. The third video in the 15-part series provides a definition of linear independence in terms of the...
10 mins 11th - Higher Ed Math CCSS: Adaptable