3.2-09 Recovering a matrix from a picture

Recovering a matrix from a picture — linear algebra practice

Read labeled coordinate diagrams and convert transformed basis arrows into matrix columns. The included text graphics state their unit scales and endpoint labels. Later tasks address nonunit input arrows, shifted arrow tails, collapsed grids and inconsistent diagrams, highlighting the information a drawing must supply.

What you will practise

• Read basis-image coordinates from diagrams
• Account for scale and arrow displacement
• Check a diagram against linearity

This microlearning belongs to Module 3 of the Complete Linear Algebra Course. Single-select and multiselect questions progress from interpretation to calculation, application and error diagnosis. Each problem is self-contained, and the explanations show how to justify a result rather than only identify a choice. In multiselect tasks, assess each statement separately; the number of correct choices varies.

Before starting, review coordinate grids and standard matrix construction. Work through the reasoning on paper, compare your method with the explanation and revisit the assumptions behind any missed item. These skills prepare you to recover transformations from visual data.