Mathematics of Computer Graphics (continued)

• Matrices

  • Rectangular array of numbers
  • Elements of Rn are n x 1 matrices
  • Matrix multiplication

    • A is an n x k matrix with entires aij
    • B is a k x p matrix with entries bij
    • AB is an n x p matrix with entries cij = sum(s=0,k ais * bsj)
    • Properties

      • Matrix multiplication is not commutative!!! AB != BA
      • Matrix multiplication does distribute over addition A(B+C) = AB + AC
      • Identity I where aij = 1 iff i=j, 0 otherwise

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