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⇤ ← Revision 1 as of 2010-12-18 05:02:41
Size: 745
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← Revision 2 as of 2010-12-18 07:45:06 ⇥
Size: 763
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| Deletions are marked like this. | Additions are marked like this. |
| Line 8: | Line 8: |
| (i) | |
| Line 16: | Line 17: |
| (ii) | |
| Line 27: | Line 28: |
| (iii) | |
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| c=echelon_form | c=C.echelon_form() |
Book
Linear Algebra
Author
Gilbert Strang
Edition
(i)
a=var('a')
b=var('b')
c=var('c')
A=matrix([[0,a,0],[0,0,b],[c,0,0]])
A.swap_rows(2,0)
A.swap_rows(1,2)
print A
print A[0,0]*A[1,1]*A[2,2]
(ii)
a=var('a')
b=var('b')
c=var('c')
d=var('d')
B=matrix([[0,a,0,0],[0,0,b,0],[0,0,0,c],[d,0,0,0]])
B.swap_rows(0,3)
B.swap_rows(1,3)
B.swap_rows(2,3)
print B
print B[0,0]*B[1,1]*B[2,2]*B[3,3]
(iii)
a=var('a')
b=var('b')
c=var('c')
C=matrix([[a,a,a],[a,b,b],[a,b,c]])
c=C.echelon_form()
print c[0,0]*c[1,1]*c[2,2]
Solution by:
- Swethakumari G, student,SNIST
- Radha Bhukya, student, SNIST
- Usha Rani,student, SNIST