Tutorial3

# Tutorial3 - Shan Feng [email protected] Shan Feng 2pm~5pm...

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han eng 2pm~5pm Monday ITB A302; Shan Feng: 2pm~5pm, Monday, ITB A302; [email protected] ong Zhao: 1pm~4pm Wednesday ITB A103; Yong Zhao: 1pm~4pm, Wednesday, ITB A103; [email protected] eng ang:2pm 5pm Thursday ITB A103; Heng Wang:2pm~5pm, Thursday, ITB A103; [email protected] e ao: pm 5pm Friday ITB A103; Jie Cao: 2pm~5pm, Friday, ITB A103; [email protected]
number of matrices are defined as A number of matrices are defined as 47  437  12 56 A   126 204 B 3 6 1 C       943 6 159   21 7 5 D   723 406 E 20 1 17 3 E     764 G

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iven the equations Given the equations 12 0.5 9.5 xx  ) solve graphically 1.02 2 18.8 x x a) solve graphically b) Compute the determinant ) On the basis of a) and b), what would you c) On the basis of a) and b), what would you expect regarding the system’s condition. d) Solve by the elimination of unknowns

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) he equations can be rearranged into a (a) The equations can be rearranged into a format for plotting x 2 versus x 1 : The solution is x 1 = 10, x 2 = 14.5 Notice that the lines have very similar slopes.
) The determinant can be computed as b) The determinant can be computed as C) The plot and the low value of the determinant both suggest that the system is ill-conditioned.

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) sing qs (9 10) and (9 11) yields (d) Using Eqs. (9.10) and (9.11) yields The ill-conditioned nature of the system is illustrated by the fact that a small change in one of the coefficients results in a huge change in the results.

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hen eliminate a a a we need to use When eliminate a 21 , a 31 , a 41 , we need to use times a 11 , then we will et get
hen eliminate a a we need to use When eliminate a 32 , a 42 , we need to use times a 22 , then we will get

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hen eliminate a we need to use When eliminate a 43 , we need to use times a 33 , then we will get

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