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Matrix-Vector Multiplication

• Notation:

• The new vector is the dot product of each row of the matrix with the column vector. Thus, the kth entry of the transformed vector is the dot product of the kth row of the matrix with the original vector.

• Example: scaling the vector by 7 in the x direction and .5 in the y direction

• In general:
  
  

Geometric Transformations - 09 MAY 95

Page 31 of 51

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