Linear Systems: The Column Space
In this column space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples of and explanations. One problem is provided for students to complete.
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Solving Equations Involving Linear Transformations of the Coordinate Space
Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application questions...
11th - 12th Math CCSS: Designed
Introduction to Solving Linear Systems
Word problems offer class members an opportunity to learn the concept of solving linear systems using graphs. Individuals choose a problem based upon preferences, break into groups to discuss solution methods and whether there is...
8th - 11th Math CCSS: Adaptable
Space Shuttle Ascent: Altitude vs. Time
How long did it take to get to that altitude? Using a Google Earth file, groups explore a space shuttle launch. Using a calculator, groups determine the function that models the altitude/time data from an actual launch. With the model in...
9th - 12th Math CCSS: Adaptable
Using Linear Equations to Define Geometric Solids
Making the transition from two-dimensional shapes to three-dimensional solids can be difficult for many geometry students. This comprehensive Common Core lesson plan starts with writing and graphing linear equations to define a bounded...
9th - 11th Math CCSS: Designed
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
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