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Math / Linear Algebra and Its Applications 5 / Chapter 8.6 / Problem 18E

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald

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Use partitioned matrix multiplication to compute the

Chapter 8, Problem 18E

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QUESTION:

Use partitioned matrix multiplication to compute the following matrix product, which appears in the alternative formula (5) for a Bézier curve:

\(\left[\begin{array}{rrrr}1 & 0 & 0 & 0 \\-3 & 3 & 0 & 0 \\3 & -6 & 3 & 0 \\-1 & 3 & -3 & 1\end{array}\right]\left[\begin{array}{l}\mathbf{p}_0 \\\mathbf{p}_1 \\\mathbf{p}_2 \\\mathbf{p}_3\end{array}\right]\)

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QUESTION:

Use partitioned matrix multiplication to compute the following matrix product, which appears in the alternative formula (5) for a Bézier curve:

\(\left[\begin{array}{rrrr}1 & 0 & 0 & 0 \\-3 & 3 & 0 & 0 \\3 & -6 & 3 & 0 \\-1 & 3 & -3 & 1\end{array}\right]\left[\begin{array}{l}\mathbf{p}_0 \\\mathbf{p}_1 \\\mathbf{p}_2 \\\mathbf{p}_3\end{array}\right]\)

ANSWER:

Solut

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