Geometry Flashcards: Using 2x2 Matrices For Plane Transformations

Study Using 2x2 Matrices For Plane Transformations in Geometry with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

If $\det(A)=4$ , what is the area scale factor of $A^{-1}$ ?

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ANSWER

$\frac{1}{4}$ . Area scale factor is $|\frac{1}{4}| = \frac{1}{4}$ .

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What this deck covers

This deck focuses on Using 2x2 Matrices For Plane Transformations, giving you a quick way to review the definitions, rules, and examples that matter most for Geometry.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 48Practice questions for this set

A shear transformation is given by

H=\begin{pmatrix}1&2\\0&1\end{pmatrix}

. What is the image of the point

(1,3)

under

H

Choose an answer

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