Линейная алгебра. Постникова Л.С - 29 стр.

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

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

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

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

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

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

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

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

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