Линейная алгебра. Постникова Л.С - 30 стр.

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                                  30


10   ⎧ x1′ = x1 + 2 x2 + 2 x3          ⎧ x1′′ = 3 x1′ + x2′
     ⎪                                 ⎪
     ⎨ x2′ = −3 x2 + x3                ⎨ x2′′ = x1′ − 2 x2′ − x3′
     ⎪x′ = 2 x + 3 x                   ⎪ x ′′ = 3 x ′ + 2 x ′
     ⎩ 3        1      3               ⎩ 3          2       3

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

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

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

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

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

16   ⎧ x1′ = 3 x1 + x2 + x3            ⎧ x1′′ = x1′ + 2 x2′ + 2 x3′
     ⎪                                 ⎪
     ⎨ x2′ = 4 x1 + 3 x2 + 2 x3        ⎨ x2′′ = x1′ − 2 x2′ − x3′
     ⎪ x ′ = −2 x + x − x              ⎪ x ′′ = 3 x ′ + x ′ + 2 x ′
     ⎩ 3              2    3           ⎩ 3          1     2       3

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

18   ⎧ x1′ = −3 x1 + 5 x2 + x3         ⎧ x1′′ = 7 x1′ + 4 x3′
     ⎪                                 ⎪
     ⎨ x2′ = x1 − 3 x2 + 4 x3          ⎨ x2′′ = 4 x1′ + 5 x2′ − 3 x3′
     ⎪x′ = 2 x + x − 5 x               ⎪ x ′′ = x ′ − x ′ − x ′
     ⎩ 3            2      3           ⎩ 3        1     2     3

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