Matrix Teacher Resources

Students use fractals to analyze nature. In this geometry lesson, students work in groups using technology and math to communicate. They identify where in the real world fractal can be seen.

In this vector spaces worksheet, students identify the vector in a given set.  They explore addition and scalar multiplication in their vectors.  This two-page worksheet contains 13 problems.

Students compile research notes on the Great Depression through library and internet research. They research a New Deal policy and orally present their findings in order to create a class matrix on the different New Deal policies of the...

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...

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...

In this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...

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.

Middle schoolers explore the transformation of America's economy in response to the Industrial Revolution in terms of patterns of agricultural and industrial development relating to climate, natural resource use, markets and trade.

In this curvilinear coordinate activity, students compute the Jacobian of standard transformations to Cartesian coordinates from polar, spherical and cylindrical coordinates. They identify the determinant of the Jacobian matrices. This...

What does it mean for two vectors to be linearly independent? The resource presents the basics of basis vectors and linear combinations. The third video in the 15-part series provides a definition of linear independence in terms of the...

Students are able to synthesize information on increasing regulatory reforms during the Progressive Era through individual research and presentation of material. They are responsible for a list of regulatory reforms with dates and...

In this identifying pivots activity, students use algebra to find equivalent systems of equations. This four-page activity contains examples, explanations and approximately ten problems.

In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.

Young scholars explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set instructional activity, students use a function integrator applet to investigate two-variable function iterations. Young scholars use...

The symmetry of a trangle on the coordinate plane is discovered through the 2X2 matrix transformations.

Nine problems present practice working with matrix transformations. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check each...

Students explore matrix transformations by examining an example of taking the product of two matrices.

Video first reviews how to find the transformation matrix using the identity matrix. Shows how to write a transformation matrix that reflects over the y-axis and scales the y-coordinates by a factor of 2. [15:13]

Video first shows visually that a rotation is a linear transformation. Shows how to construct a transformation matrix that will rotate a vector through a given angle. Shows both the general rotation matrix and an example of a rotation...

Video defining an orthogonal matrix as a square matrix C whose columns form an orthonormal set. Shows that C will be invertible and that multiplying C transpose by C will result in the identity matrix. The result that C transpose equals...

Finding the transformation matrix with respect to a non-standard basis.

Students explore transformations of matrices, rowspace and nullspace by watching a video tutorial.

Example of finding the transformation matrix for an alternate basis.