Precalculus Flashcards: Matrix Transformations Of Vectors

Study Matrix Transformations Of Vectors in Precalculus with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What is the result of applying AA then BB to a vector v\vec{v}, written as one matrix times v\vec{v}?

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ANSWER

B(Av)=(BA)vB(A\vec{v})=(BA)\vec{v}. Composition of transformations equals product of matrices.

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Precalculus: Matrix Operations & Applications

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What this deck covers

This deck focuses on Matrix Transformations Of Vectors, giving you a quick way to review the definitions, rules, and examples that matter most for Precalculus.

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 36Practice questions for this set
Given the matrix and a general column vector v=(xy),\mathbf{v}=\begin{pmatrix}x\\y\end{pmatrix}, what is the general form of AvA\mathbf{v}?
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