Back to Represent systems as matrix equations — Problem 2 · Task Set 45

HSA.REI.C.8 Tutor Intake — Matrix Equations

This short check helps your tutor understand where to start. Answer each question without help. If you are not sure, give your best try — the goal is to find what to work on together, not to grade you.

Grade 9·8 problems·~13 min·Common Core Math - HS Algebra·standard·hsa-rei-c-8

Work through problems with immediate feedback

Concepts

Is matrix multiplication commutative? That is, does $AB = BA$ always hold?

Yes — matrix multiplication, like number multiplication, is always commutative.

No — in general $AB \neq BA$ . The products may not even have the same
dimensions or be defined.

Yes — as long as both $A$ and $B$ are square matrices.

Yes — as long as $A$ and $B$ have the same dimensions.