This is an engaging practice on multiplying matrices with carefully chosen problems some with nice answers. There are included nine challening tasks. Here is a description of the tasks:
Task 1. Given a matrix A (2x2). Students have to determine f(A) which is a quadratic function of A (two problems here)
Task 2 is proving that two matrices (2x2) are commuting (two problems included)
Task 3 is finding AB and BA given A^t (3X2) and B (3x2).
Task 4 is proving that A^2=A , A is 3x3
Task 5. Given a matrix A (3x3). Students have to determine f(A) which is a quadratic function of A.
Taks 6 is finding AB as A is 3x3 and B is 3x3. The answer is really nice.
Task 7 is finding AB-BA (two problems here)
Task 8 is performing indicated operations AB+CD
Task 9. Given matrices A,B and C. Students have to prove that A(BC)=(AB)C
Students have enough room to show work on the practice sheets.
This resource can be used as independent and extra practice, enrichment and homework.
Answer key is included.
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