Berechne die folgenden Vektoren:

´a = ((6,5,3,4), (1,8,2,2), (4,9,3,2), (4,9,7,1)) * ((4),(2),(3),(1))´

´b = ((2,0,0,0), (0,1,0,0), (0,0,3,0), (0,0,0,1)) * ((x),(y),(z),(1))´

´c = ((alpha,0,0,1), (0,0,beta,0), (gamma,0,1,delta), (0,zeta,0,eta)) * ((x),(y),(z),(1))´

Approach

"´a = ((6,5,3,4),(1,8,2,2),(4,9,3,2),(4,9,7,1)) \* ((4),(2),(3),(1)) = ((6 \* 4+5\*2+3\*3+4\*1),(1\*4+8\*2+2\*3+2\*1),(4\*4+9\*2+3\*3+2\*1),(4\4+9\2+7\3+1\1)) = ((47),(28),(45),(56))´ \n\n´b = ((2,0,0,0),(0,1,0,0),(0,0,3,0),(0,0,0,1)) \ ((x),(y),(z),(1)) = ((2x),(y),(3z),(1))´ \n\n´c = ((alpha,0,0,1),(0,0,beta,0),(gamma,0,1,delta),(0,zeta,0,eta)) \ ((x),(y),(z),(1)) = ((alpha \x + 1),(beta \ z),(gamma \ x + z + \delta ),(zeta \ beta + eta))´"


Solution

  • ´a = ((47),(28),(45),(56))´ ´b = ((2x),(y),(3z),(1))´ ´c = ((alpha *x + 1),(beta * z),(gamma * x + z + \delta ),(zeta * beta + eta))´

  • URL:
  • Language: Deutsch
  • Subjects: math computer graphics
  • Type: Calculate
  • Duration: 15min
  • Credits: 3
  • Difficulty: 0.3
  • Tags: vector matrix product
  • Note:
    HPI, 2014-05-19, Computergrafik 1, Aufgabe 8a
  • Created By: ad-si
  • Created At:
    2014-07-28 19:46:35 UTC
  • Last Modified:
    2014-07-28 19:46:35 UTC