For this linear systems worksheet, students use matrix multiplication as an elimination technique to solve linear systems. They compare products and explore trends. This four-page worksheet contains explanations, examples and five...

In this matrix equations worksheet, students solve matrix equations involving addition, subtraction, and multiplication.  This four-page worksheet contains 20 problems.  Answers are provided on the last two pages.

In this math activity, students practice using a matrix with the method of elimination to find the solutions. They practice using matrix multiplication.

In this algebra learning exercise, students solve problems using addition, multiplication and subtraction of matrices. There are 15 problems.

Here is a worksheet 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 detailed...

In this Haar Wavelet worksheet, students solve and complete 4 different problems related to the Haar Wavelet filter bank. First, they define the properties of Haar basis. Then, students compute the matrices for the first, second and...

In this matrix activity, learners explore and solve problems with matrices by addition, subtraction, multiplication and using linear equations. There are 28 problems with some answers.

Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...

Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...

In this matrix operations worksheet, students perform matrix addition and multiplication. This two-page worksheet contains six problems. Definitions, examples and explanations are also provided.

In this math worksheet, learners find the values associated with the geometric transformations. They read the instruction sheet for completing matrices with translations, rotations, reflections, and scaling by adding and multiplying...

In this multiplication worksheet, learners solve ten math problems involving multiplication of matrices. Students find the product of each matrices.

In this matrices learning exercise, students write matrix notation to represent linear systems. This four-page learning exercise contains approximately 15 problems.

In this matrix worksheet, learners multiply a matrix by a given number. The matrices range in size from one-by-two to three-by-three. This one-page worksheet contains ten matrix problems.

In this matrix operations worksheet, students use matrix operations (adding, subtracting, multiplying) to simplify eighteen matrices, if possible.  Solutions are provided.

This matrix operations worksheet covers topics such as matrix addition, multiplication and properties such as associative, commutative and distributive. Students give examples and counter examples of matrix addition and multiplication. ...

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 fundamental theorem worksheet, students show matrix multiplication, identify the vector in the nullspace and interpret equations. This two-page worksheet contains examples, explanations and three problems.

Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...

In the 16th activity in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The activity breaks the process of reflecting across a...

In this Algebra II instructional activity, 11th graders determine if matrices are inverses, multiply matrices, and solve matrix equations. The three page instructional activity contains explanation of topic, worked examples, and...

In this linear algebra learning exercise, students complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page learning exercise contains examples, explanations, and approximately four...

In this linear systems worksheet, students solve and complete 10 different problems that include writing each as a linear equation. First, they write the systems of linear equations represented by each matrix equation. Then, students...

In this vector space worksheet, learners 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.