Линейная алгебра. Постникова Л.С - 17 стр.

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17
5
24
34211
32411
123
123
123
xxx
xxx
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+−=
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6
342 8
234
50
123
12 3
123
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7
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123
123
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1
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433
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8
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123
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35
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9
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2431
5220
39
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10
225
32 2
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123
123
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11
2431
243
352
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12
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54 5
434
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13
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235
21
346
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22
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21
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12 3
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26
238
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25
23
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31
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241
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416
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56
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21
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−− =
                                 17


5    ⎧2 x1 − x2 − x3 = 4              6    ⎧3 x1 + 4 x2 + 2 x3 = 8
     ⎪                                     ⎪
     ⎨3 x1 + 4 x2 − 2 x3 = 11              ⎨2 x1 − x2 − 3 x3 = −4
     ⎪3 x − 2 x + 4 x = 11                 ⎪x + 5 x + x = 0
     ⎩ 1        2      3                   ⎩ 1      2     3

7    ⎧ x1 + x2 − x3 = 1               8    ⎧ x1 − 4 x2 − 2 x3 = −3
     ⎪                                     ⎪
     ⎨8 x1 + 3 x2 − 6 x3 = 2               ⎨3 x1 + x2 + x3 = 5
     ⎪4 x + x − 3 x = 3                    ⎪3 x − 5 x − 6 x = −9
     ⎩ 1 2           3                     ⎩ 1         2      3

9    ⎧ x1 + 2 x2 + 4 x3 = 31          10   ⎧2 x1 + x2 − 2 x3 = −5
     ⎪                                     ⎪
     ⎨5 x1 + x2 + 2 x3 = 20                ⎨ x1 − 3 x2 − 2 x3 = −2
     ⎪3 x − x + x = 9                      ⎪3 x − 2 x + x = 8
     ⎩ 1 2          3                      ⎩ 1         2    3

11   ⎧2 x1 − 4 x2 + 3 x3 = 1          12   ⎧2 x1 − 3 x2 + x3 = 2
     ⎪                                     ⎪
     ⎨ x1 − 2 x2 + 4 x3 = 3                ⎨ x1 + 5 x2 − 4 x3 = −5
     ⎪3 x − x + 5 x = 2                    ⎪4 x + x − 3 x = −4
     ⎩ 1 2            3                    ⎩ 1 2            3

13   ⎧ x1 + 2 x2 + 3 x3 = 5           14   ⎧2 x1 − x2 + x3 = 2
     ⎪                                     ⎪
     ⎨2 x1 − x2 − x3 = 1                   ⎨3 x1 + 2 x2 + 2 x3 = −2
     ⎪x + 3 x + 4 x = 6                    ⎪x − 2 x + x = 1
     ⎩ 1       2      3                    ⎩ 1      2     3

15   ⎧ x1 + x2 − 2 x3 = −6            16   ⎧ x1 − 2 x2 + 3 x3 = −6
     ⎪                                     ⎪
     ⎨2 x1 − x2 + 3 x3 = 8                 ⎨2 x1 + x2 − x3 = 5
     ⎪3 x + x − x = −8                     ⎪ x − x + 2 x = −3
     ⎩ 1 2          3                      ⎩ 1 2          3

17   ⎧2 x1 − x2 + 4 x3 = −3           18   ⎧2 x1 − x2 + 4 x3 = 1
     ⎪                                     ⎪
     ⎨ x1 + 3 x2 − x3 = 1                  ⎨ x1 + 3 x2 − x3 = −10
     ⎪3 x + 2 x + 3 x = −2                 ⎪3 x + 2 x + 3 x = −9
     ⎩ 1         2     3                   ⎩ 1         2     3

19   ⎧3 x1 − 2 x2 + x3 = −10          20   ⎧5 x1 − x2 − x3 = 6
     ⎪                                     ⎪
     ⎨ x1 − x2 + 4 x3 = −16                ⎨− 2 x1 + x2 + 3 x3 = −7
     ⎪2 x − x − 2 x = 3                    ⎪3 x + 2 x − x = 7
     ⎩ 1 2           3                     ⎩ 1        2    3

21   ⎧2 x1 + 3 x2 − x3 = 2            22   ⎧2 x1 + 3 x2 − x3 = −4
     ⎪                                     ⎪
     ⎨ x1 − x2 + 5 x3 = −13                ⎨ x1 − x2 + 5 x3 = 12
     ⎪4 x + 2 x − x = 5                    ⎪4 x + 2 x − x = −9
     ⎩ 1        2     3                    ⎩ 1        2     3

23   ⎧2 x1 + 3 x2 − 2 x3 = −13        24   ⎧5 x1 − 3 x2 + x3 = 7
     ⎪                                     ⎪
     ⎨− x1 − 2 x2 + 3 x3 = 10              ⎨ x1 + x2 + 3 x3 = −13
     ⎪3 x + x + 2 x = −4                   ⎪2 x − x − 2 x = 12
     ⎩ 1 2           3                     ⎩ 1 2           3