In this matrices and vectors worksheet, students solve 9 various types of problems related to forming matrices and vectors. First, they set up each system of equations listed in matrix form using mathematical notation. Then, students...

In this nullspace instructional activity, students identify the rank and nullspace in a matrix. They compare the nullspace and column space of given matrices. This two-page instructional activity contains examples, explanations and...

In this math worksheet, learners find the answers to the problems that are related to using a matrix. They group the numerical values with the matrix.

For this linear systems worksheet, students explore the dimensions of a matrix. They identify the independent rows and columns. This two-page worksheet contains explanations, examples and four problems to solve.

Here is a learning exercise to practice or review basic matrix operations of addition, subtraction, and scalar multiplication. First, define and discuss key vocabulary terms, then have individuals work five simple problems. There are...

Go over the basics of matrix multiplication, from checking the dimension of the factors, to applying the distributive property. This worksheet includes directions on when and how to multiply matrices, one example, and a few problems your...

Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...

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.

For this orthogonal matrices worksheet, learners explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page worksheet contains approximately...

Students perform basic matrices operations. In this algebra lesson, students add, subtract, multiply and divide matrices. They solve system of equations using matrices.

In this adding and subtracting matrices worksheet, students add 2 sets of matrices and subtract one. They are introduced to the rules of adding and subtracting matrices.

Watch as matrices break networks down into rows and columns! Individuals learn how a network can be represented as a matrix. They also identify the notation of matrices.

In this column space and nullspace of a matrix worksheet, students are give a three by three matrix. They describe the kind of subspace it is. Students find the nullspace of the matrix.

Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...

In this rectangular matrices worksheet, students complete solutions to given matrices. They identify the pivot columns and examine the nullspace of a matrix. This four-page worksheet contains examples, explanations and approximately...

Eleventh graders study how to combine like vector's that are matrices. In this matrix operations worksheet, 11th graders combine matrices linearly and define the matrix-matrix product and its properties. Students also study matrix...

In this Algebra II worksheet, 11th graders investigate matrix multiplication. The two page worksheet includes instructions and examples and two problems. Solutions are included.   

In this matrix worksheet, pupils solve a system of differential equations, find eigenvalues and eigenvector in two problems, and solve a word problem using a system. 

Every political system has advantages and disadvantages. To gain an understanding of these differences, groups investigate the political system of another country—oligarchy, monarchy, dictatorship, parliamentary—and prepare a...

For this algebra worksheet, students solve matrix problems identifying the Minors and solving for x. There are 14 problems to be solved.

In this linear systems worksheet, students explore the effect of two identical columns in a matrix on the null space of the matrix. They consider the column space of a matrix. Students compare the column space of a matrix to the column...

In this vector space worksheet, students find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page worksheet contains approximately six multi-step problems.

In this linear systems worksheet, students use a matrix to represent linear systems. This four page worksheet provides examples, explanations and approximately eight problems to complete.

In this least squares instructional activity, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate...