HP 33s hp 33s_user's manual_English_E_HDPM20PIE56.pdf - Page 234
Solutions of Simultaneous Equations
UPC - 082916001456
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125 g 63 g X D g g Sets T equal to 125. Sets P equal to 63. Calculates dot product. Calculates angle between resultant force vector and lever. Gets back to input routine. Solutions of Simultaneous Equations This program solves simultaneous linear equations in two or three unknowns. It does this through matrix inversion and matrix multiplication. A system of three linear equations AX + DY + GZ = J BX + EY + HZ = K CX + FY + IZ = L can be represented by the matrix equation below. ªA D G ºªX º ª J º « « B E H » » ««Y » » = ««K » » «¬C F I »¼ «¬ Z »¼ «¬ L »¼ The matrix equation may be solved for X, Y, and Z by multiplying the result matrix by the inverse of the coefficient matrix. ªA′ D ′ G ′ºª J º ªX º « « B ′ E′ H ′ » » ««K » » = ««Y » » «¬C ′ F ′ I L »¼ «¬Z »¼ Specifics regarding the inversion process are given in the comments for the inversion routine, I. 15-12 Mathematics Programs