171 BPM
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4/4 ×2
Drag rhythmic values into up to 8 beat blocks per line to build a drum groove, or click a tile then click a block to place it — handy on a trackpad.
Math skill: Solve Ax = 0 for a Matrix With Determinant 0
How the beat teaches it: Every slot gives a 2x2 matrix with determinant 0, so it has a nontrivial null space — using the first row's equation ax₁+bx₂=0, set x₁=b and solve for x₂. Build |x₂| that many notes anywhere in the kit.
This is lesson 22 of 24 in RockBlocks Math, Linear Algebra, a free course where every lesson turns a math idea into something you can count, hear, and play. The previous lesson, “2x2 Matrix Multiplication,” covered multiply Two 2x2 Matrices and Sum All Four Entries. Next is Lesson 23, “Determinant as an Area Scale Factor.”
Every slot above (A, B, C, D) is its own question, and it’s a real, blank RockBlocks beat the whole time — the same drag-and-drop tiles, kit, tempo, sheet music, and drummer view as anywhere else on the site. Tap ❓ Questionin the corner to read the current slot’s problem, build your answer right in the grid, then tap ✓ Check Answerto grade it. Once you’re done, keep going: expand the beat, drop it into a Stack, or save a copy to your own page — nothing here overwrites the lesson itself, so every visitor still starts from the same blank slots.