Choose a question
What does a matrix do, and which outputs can disappear? →Read a column as an arrow, then a matrix as an action on that arrow. Solving an equation becomes a question about reachable targets, giving collapse, eigenvectors and rotations a geometric interpretation.What becomes visible when you change representation? →An average, a spectrum and a geometric diagram each foreground a different structure. Before asking which view is intuitive, ask which comparison you need it to support.After an edit, how can you see what actually changed? →A green test, a live picture and a replayable history all count as feedback. Follow one edit and ask which consequences become visible and which still need reflection.How can you tell a correct answer from understanding? →Ask two people to explain their reasoning, then change the presentation and ask them to reconstruct the answer. Peer instruction and geometric intuition offer different ways to expose gaps.How do you update on evidence—and choose what to ask next? →A test result and a Wordle clue both rule out possibilities. The crucial difference is whether you already know the result or still have to choose the question.What is missing from a picture of brightness? →Follow rotating hands, short tones and holographic exposures to separate three questions: what is in a wave, what the observation window permits, and what the instrument actually records.
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