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Size: 678
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| Deletions are marked like this. | Additions are marked like this. |
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| {{{ x,y,z=var('x,y,z') |
{{{x,y,z=var('x,y,z') |
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| z = C[2,3] y = C[1,3] - C[1,2]*z x = C[0,3] - C[0,2]*z - C[0,1]*y |
z = C[2,3]/C[2,2] y = (C[1,3]-C[1,2]*z)/C[1,1] x=(C[0,3]-C[0,2]*z-C[0,1]*y)/C[0,0] |
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| * AMIT TEWARI, STUDENT, IIT ROORKEE * ARNAB BASU, STUDENT, IIT ROORKEE * SHUBHAM MITTAL, STUDENT, IIT ROORKEE |
Book
Linear Algebra
Author
Gilbert Strang
Edition
{{{x,y,z=var('x,y,z') A=matrix(QQ,2,3,1],[4,7,5],[0,-2,2) print A print b = vector([8,20,0]) C = A.augment(b.transpose()) print C print C.swap_rows(1,0) print C print C.add_multiple_of_row(1, 0,-1/2) #C.add_multiple_of_row(1, 2, -2)
print C print
#C.add_multiple_of_row(0, 2, -3) C.add_multiple_of_row(2, 1, -4)
print C print z = C[2,3]/C[2,2] y = (C[1,3]-C[1,2]*z)/C[1,1] x=(C[0,3]-C[0,2]*z-C[0,1]*y)/C[0,0] print "x=",x,"y=",y,"z=",z }}}
Solution by:
- RACHIT JHA, STUDENT, IIT ROORKEE