Linear Systems: Vector Spaces and Subspaces

In this vectors worksheet, students determine the amount of work it takes to move objects, they determine if vectors are parallel or orthogonal and identify the displacement direction and the force direction. This one-page worksheet...

In this vector worksheet, students draw simple pictures, identify the positions of the vectors, write equations to describe vector location. This two-page worksheet contains four multi-step problems.

Investigate linear quadratic systems and pose this question: Do all linear quadratic systems have two solutions? Do they all have a solution? Learners solve systems of equations through graphing. They indicate the points of intersection...

In this vector worksheet students find the geometric interpretation of the change in a vector. They identify vector fields for specified functions. This two-page worksheet contains five multi-step problems.

In this vector force worksheet, students determine the total velocity of objects, the displacement direction, and vector movement. This two-page worksheet provides a total of six multi-step problems.

In this systems of equations worksheet, high schoolers identify and explore three ways to solve systems of equations:  graphing, substitution, elimination.  They discuss the strengths, weaknesses, and write an algorithm for...

Show how matrices can be helpful for solving systems of equations. The video illustrates an example of solving a two-variable system utilizing Cramer's Rule. The instructor shows how to find the determinant of each matrix and then uses...

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...

So you have the same variable more than once on the same side? No problem. Just simplify before trying to solve. That means, combine the like terms. Watch as the teacher shows you how to do that.

For this gradient vector fields worksheet, students use Maple to examine vector fields. They identify functions which are vector fields. This one-page worksheet contains two multi-step problems.