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Matrix Notation Encompasses New Transformations!
Class members make a real connection to matrices in the 25th part of a series of 32 by looking at the identity matrix and making the connection to the multiplicative identity in the real numbers. Pupils explore different matrices and...
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Properties of Matrices
A TI-nspire activity to find determinants of matrices using calculators. The class follows along in this step by step activity to explore operations on matrices. They will mostly be multiplying and at the end of the activity they are...
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Modeling Video Game Motion with Matrices 1
Video game characters move straight with matrices. The first day of a two-day lesson introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine the...
Curated OER
Matrix Review
In this matrices worksheet, students solve 4 multi-step matrices problems. Students multiply matrices, find the determinant, inverse matrices, etc.
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Matrix Multiplication
In this matrix multiplication activity, 11th graders solve and complete 8 different problems that include a number of steps in an activity. First, they use the matrix illustrated to respond to various questions referring to it. Then,...
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Getting a Handle on New Transformations 1
In the first of a two-day lesson on transformations with matrix notation the class transforms the unit square using general transformations, then calculates the area of the transformed image. They discover it is the same as finding the...
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Getting a Handle on New Transformations 2
Use 2x2 matrices to move along a line. The second day of a two-day lesson plan is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given point. The...
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When Can We Reverse a Transformation? 3
When working with matrix multiplication, it all comes back around. The 31st portion of the unit is the third instructional activity on inverse matrices. The resource reviews the concepts of inverses and how to find them from the previous...
Curated OER
Multiplying Matrices
In this multiplying matrices worksheet, 11th graders solve and complete 11 different problems that include 3 word problems. First, they determine the dimensions of each matrix product. Then, students multiply each of the given matrices....
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MA 371 - Matrices: Solving Systems and Determinants
In this solving systems and determinants worksheet, students solve 4 multi-part short answer problems. Students solving systems of equations using matrices. Students find a basis for row spaces and column spaces. Students find the...
Curated OER
Matrices and Transformations
In this matrix worksheet, learners explore and solve problems with matrices by addition, subtraction, multiplication and using linear equations. There are 28 problems with some answers.
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Using Matrices for Data
For this matrices for data worksheet, 9th graders solve and complete 29 various types of problems that include using matrices to illustrate data. First, they determine the sum, difference and scalar product for each matrices shown. Then,...
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Matrices
In this matrices worksheet, 9th graders solve and complete 11 different problems that include interpreting various matrices shown. First, they determine the operations that would result in the matrix illustrated. Then, students find the...
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Exercises for Section 5.3: Matrices
In this matrices worksheet, students solve 26 systems of equations using matrices. Students solve each system using matrices. Students determine the rank and solutions of each matrix using row echelon form of each system.
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It All Adds Up - Puzzle Matrix #20
In this addition puzzle matrix worksheet, students determine what 8 numbers are missing from the matrix. They insert the proper numbers to make the numbers add up vertically, horizontally, and diagonally.
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When Can We Reverse a Transformation? 2
The second lesson on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding inverses, then...
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Determinants of 2x2 Matrices
For this matrices worksheet, students find the value of 14 2x2 matrices. They evaluate one addition of matrices problem. Students give an example of a 2x2 matrix with a given determinant.
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Determinants of 3X3 Matrices
In this determinants worksheet, students solve and complete 12 different types of problems. First, they evaluate the determinant in each matrix illustrated. Then, students determine the value of x that makes the determinant given.
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When Can We Reverse a Transformation? 1
Wait, let's start over — teach your class how to return to the beginning. The first instructional activity looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with...
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Choosing a College
How can mathematics help scholars choose a college? High schoolers learn how they can use decision matrices to rank colleges based on selected criteria. They also see how to weigh criteria using multiplication of the decision matrix by a...
EngageNY
The Hunt for Better Notation
The matrix — it's not just a movie. The lesson introduces the concept of 2 x 2 matrix multiplication as a way to represent linear transformations. Class members determine when a linear transformation represented as matrix multiplication...
Curated OER
Determinants: 2x2 and 3x3 Matrices
For this Algebra II worksheet, 11th graders find the determinant of 2x2 or 3x3 matrix and use the determinant to find the inverse of the matrix. The two page worksheet contains explanation of topic, a worked example, and three practice...
Curated OER
Linear Systems: The Determinant
In this determinant worksheet, students find the determinants of matrices. They identify patterns and their relationship to the canonical matrix. This two-page worksheet contains approximately nine problems, as well as examples and...
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Linear Systems: Other Methods of Computing Determinants
In this computing determinants worksheet, students explore methods of computing determinants. They complete determinant problems by using the co-factor method, the "big formula" and the use of product of the pivots. This two-page...