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Learning Goal

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Multiply matrices and vectors

Start lessonBegins with Matrix vector transformations · Slides

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HSN.VM.C.11
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What you'll learn

  1. Represent a vector in component form as a column matrix (column vector).
  2. Multiply a matrix by a column vector using the row-dot-product rule.
  3. Interpret the matrix-vector product $A\mathbf{v}$ as a linear transformation of $\mathbf{v}$.
  4. Identify standard $2 \times 2$ transformations: scaling, reflection over an axis, and rotation by 90°.
  5. Compute the composition of two transformations as a single matrix product and explain why order matters.

Slides

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1

Matrix vector transformations

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