### There are 14 results

Broad Topics >

Advanced Algebra > Matrices

##### Age 16 to 18 Challenge Level:

Explore the properties of matrix transformations with these 10 stimulating questions.

##### Age 16 to 18 Challenge Level:

Explore the shape of a square after it is transformed by the action
of a matrix.

##### Age 16 to 18 Challenge Level:

Explore how matrices can fix vectors and vector directions.

##### Age 16 to 18 Challenge Level:

Explore the meaning behind the algebra and geometry of matrices
with these 10 individual problems.

##### Age 16 to 18 Challenge Level:

Can you make matrices which will fix one lucky vector and crush another to zero?

##### Age 14 to 16 Challenge Level:

Explore the transformations and comment on what you find.

##### Age 16 to 18 Challenge Level:

Play countdown with matrices

##### Age 16 to 18 Challenge Level:

Follow hints to investigate the matrix which gives a reflection of the plane in the line y=tanx. Show that the combination of two reflections in intersecting lines is a rotation.

##### Age 14 to 18 Challenge Level:

This problem in geometry has been solved in no less than EIGHT ways
by a pair of students. How would you solve it? How many of their
solutions can you follow? How are they the same or different?. . . .

##### Age 16 to 18 Challenge Level:

Follow hints using a little coordinate geometry, plane geometry and
trig to see how matrices are used to work on transformations of the
plane.

##### Age 16 to 18 Challenge Level:

Investigate the transfomations of the plane given by the 2 by 2
matrices with entries taking all combinations of values 0. -1 and
+1.

##### Age 16 to 18 Challenge Level:

Investigate matrix models for complex numbers and quaternions.

##### Age 16 to 18 Challenge Level:

Given probabilities of taking paths in a graph from each node, use
matrix multiplication to find the probability of going from one
vertex to another in 2 stages, or 3, or 4 or even 100.

##### Age 14 to 16

An iterative method for finding the value of the Golden Ratio with explanations of how this involves the ratios of Fibonacci numbers and continued fractions.