Multiplying Matrices - Practice/Homework (10 Tasks, 19 Problems)

This is an engaging practice/homework on multiplying matrices contaning 10 tasks (19 problems). Here is a description of the tasks included:

Task 1. Students have to find the sum of indicated elements for the product AB given the matrices A and B. (5 related problems)
Task 2 is finding the product A^t B where A^t is the transpose of the matrix A.
Task 3. Given matrices A and B. Students have to calculate f(A) and f(B) which are quadratic functions of A and respectively of B. A is 2x2 and B is 3x3 (2 problems)
Task 4. Given three matrices A, B and C. Students have to check whether AB=AC
Tasks 5,6,7 is proving that two matrices are commuting. In taks 5 the matrices are 2x2, in task 6 - 3x3 and in task 7 the matrices are 4x4.
Task 8 is computing the difference AB-BA given the matrices A and B (two problems)
Task 9 is finding the product AB where A and B are 4x4. The answer will be suprisingly nice.
Task 10. Given four matrices. Students have to compute the products ABC,CAB,BAD and DBA. (four problems)

Students will need to use separate sheets of papers to show work.

This resource can be used as homework, as class/extra/independent practice too however it should be taken into account that it will take more time as the problems are many and some are challenging.

Answer key is included.