Matrix Operations Teacher Resources

Discover the procedure to add and subtract matrices. Pupils use the interactive and discover the pattern in adding and subtracting matrices. Scholars adjust the entries in the addends and see the resulting changes in the sum. They also...

But what happens if the matrix is not square? The ninth video in a series of 15 serves as a footnote to discuss non-square matrices. The resource presents them as transformations between two and three dimensions. The presentation...

Scalar multiplication equations can be a drag. Scholars determine missing matrices to make correct scalar matrix multiplication equations. They place the correct matrix into the equations within the interactive resource and analyze the...

The dot product of two matrices is a number on the number line, its transformation. The resource presents the dot product as a linear transformation from two dimensions to one dimension. The video uses the numerical and graphical...

The rule is add before multiplying, even with matrices. Pupils use a slider to change the scalar multiplying the sum of two matrices. The interactive displays the resulting solution matrix, and requires scholars answer five questions...

Bring it all to three dimensions. The short video points out that the discussion in the previous presentations in two dimensions also holds true for three dimensions. The sixth video in the series of 15 specifically makes the...

It is all about perspective. A video introduces the idea that the view of a vector all depends upon the perspective of the basis vectors. Knowing how to go from one coordinate system's basis vectors to another system's basis vectors...

Find vectors that stay on their spans after a linear transformation. The 14th video in the series of 15 introduces the concept of eigenvectors, vectors that are only scaled during a linear transformation. The presentation illustrates the...

Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...

Equate the area of a parallelogram with the magnitude. The 11th installment in a 15-video series introduces the concept of the cross product of two vectors. The presentation makes the geometric connection between the cross product, the...

What do cross products and parallelpipeds have in common? The video discusses the geometric representation of the cross product. The geometric interpretation explains why the computational trick in calculating the cross product works.

In this matrix multiplication worksheet, 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,...

Learners explore the history of cryptography. They assess function notation and transformation, matrix operations, and the fundamentals of modular arithmetic. Using graphing calculators, students develop their own encryption schemes.

Students identify, analyze, and multiply matrices. They determine if various indicated operations are possible through classroom discussion and practice. Finally, students determine matrix product dimensions through problem-solving...

What size is the product of two matrices? Individuals determine that two matrices that can be multiplied and their resulting matrix by connecting them in the interactive resource. They make a generalization about the sizes of...

In this Algebra II activity, 11th graders solve problems that involve matrix representation, matrix operations, solving systems with inverse matrices, row reduction, and systems of inequalities. The six page activity contains twenty...

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

Matrices are a mathematical tool that can be used to organize data. Although, often learners concentrate their efforts on understanding how to perform operations on matrices and they lose the real-world connect of how matrices can be...

In this introduction to matrices worksheet, 11th graders solve and complete 13 different problems that include various matrices. First, they perform the indicated operation for each matrix. Then, students solve for the variables in the...

Adding zero to a number doesnÕt change it and the same goes for matrices. Add the zero matrix to a matrix of the same dimensions to get the original matrix back. And just like adding numbers, this is called the identity property of...

The instructor in this video shows an example of how to multiply a matrix by the scalar number.

How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...

In this set of activities, matrices and equations are explored. They work with matrices using pen and paper as well as graphing calculator. Additionally real-world problems are explored. 

Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...