Linear Algebra and the C Language/a04c

__NOTOC__ Octave commands: # -------------------------------- # Copy/Paste into the octave window # A=[ +2,+2,+2; +3,+3,+3; +4,+4,+4]; # A_T = A' # # -------------------------------- # Copy/Paste into the octave window # A=[ +2,+2,+2; +3,+3,+3; +4,+4,+4]; # traceA = trace(A) # # -------------------------------- # Copy/Paste into the octave window # A=[ +2,+5,+1; +5,-6,-8; +1,-8,+5]; # sA = 100.*A # # -------------------------------- # Copy/Paste into the octave window # A=[ +2,+5,+1; +5,-6,-8; +1,-8,+5]; # B=[ +2,+5,+1; +5,-6,-8; +1,-8,+5]; # AB = A*B AplusB = A+B AminsB = A-B # # -------------------------------- # Copy/Paste into the octave window # A=[ +2,+5,+1; +5,-6,-8; +1,-8,+5]; # An = A^3 # # -------------------------------- # Copy/Paste into the octave window # # A/B = A*inv(B); # format short e; # A=[ +2,+5,+1; +5,-6,-8; +1,-8,+5]; # B=[ +1,+1,+2; +5,-3,-5; +4,-8,+2]; # AdivB = A/B AinvB = A*inv(B) # # -------------------------------- # Copy/Paste into the octave window # A=[ +0.138,+0.626,+0.315,+0.818; +0.800,+0.090,+0.658,+0.530; +0.777,+0.488,+0.235,-0.150; -0.552,+0.097,-0.728,-0.298] # expm (A) # # -------------------------------- # Copy/Paste into the octave window # A=[ -9,-1,-1,+8,-9; -7,-7,-1,+4,+8; +6,+6,+4,-7,-5; -7,-3,+6,-5,-3; -9,-9,+8,-7,-7]; # det(A) # # -------------------------------- # Copy/Paste into the octave window # B=[ +2.00,-7.00,-5.00,-1.00; +6.00,+4.00,-5.00,+6.00; -3.00,-9.00,+4.00,+4.00; -9.00,+4.00,+6.00,+4.00]; # format short e; # inv(B) # # -------------------------------- # Copy/Paste into the octave window # Ab=[ -325,-601,-801,-221,+360,+524; -855,+832,+226,-815,-233,-143; +724,-933,-49,-231,-965,-787; +290,+238,-905,+772,-327,+446; +636,-519,+662,-7,-375,-813]; # format short e; # rref(Ab,.00000000001) # # -------------------------------- # Copy/Paste into the octave window # a=[ +2,-9,-1; +8,-1,-1; -7,-7,+8; -1,-7,-9; +4,+2,+2]; # format short e; # [Q, R] = qr (a,0) # # -------------------------------- # Copy/Paste into the octave window # a=[ +22,+54,+14; +54,-67,-83; +14,-83,+52]; # format short e; # EigenValues = eigs (a,3) # # -------------------------------- # Copy/Paste into the octave window # a=[ -3,+2,+8; +2,+6,-3; +8,-1,+2; -1,-5,+2; -7,+2,-1; -9,+6,-1]; # format short e; # SvdValue = svd (a,10) # # -------------------------------- # Copy/Paste into the octave window # a=[ -367,+448; +448,-847]; # format short e # [V, E] = eigs (a,2) # # -------------------------------- # Copy/Paste into the octave window # B=[ +4.00,-3.00,-9.00,+2.00; -5.00,-7.00,-9.00,-3.00; +8.00,+4.00,-7.00,-5.00; +4.00,-5.00,+2.00,-7.00]; # format short e # [U, S, V] =svd (B,10) # # -------------------------------- # Copy/Paste into the octave window # B=[ -3.00,+6.00,-9.00; -3.00,-1.00,-1.00; -9.00,-3.00,-3.00; +6.00,-5.00,+6.00; -3.00,-1.00,+6.00; +8.00,-7.00,-9.00; +2.00,-5.00,+2.00; -1.00,+6.00,+6.00; +8.00,-9.00,+4.00]; # format short e # pinv(B) #