test_clase_de_resturi.doc

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Test de evaluare clasele de resturi modulo n Nr1 ˆ  xˆ  4 1. Rezolvati in Z5 ecuatia 2 ˆ 3 ˆ. ˆ 7 ˆ 3 ˆ 4 2. Calculati  2 ˆ  5 ˆ

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  Test de evaluare clasele de resturi   modulo n Nr1 1.Rezolvati in Z 5  ecuatia .3ˆ4ˆˆ2ˆ =+⋅  x 2. Calculati 1ˆ4ˆ7ˆ2ˆ4ˆ5ˆ4ˆ3ˆ7ˆ 2  =∆  in Z 8 3.Rezolvati sistemul in Z 3 =++=++=++ 0ˆ1ˆ3ˆ2ˆ1ˆ2ˆ  z  y x z  y x z  y x 4 Sa se calculeze rangul matricei          3ˆ2ˆ1ˆ2ˆ2ˆ1ˆ1ˆ1ˆ1ˆ   in Z 4   5 Sa se calculeze inversa matricei          1ˆ2ˆ2ˆ1ˆ1ˆ0ˆ4ˆ3ˆ2ˆ   in Z 4 Nr 2 1 . Rezolvati in Z   ecuatia .4ˆ2ˆˆ4ˆ =+⋅  x 2. Calculati 1ˆ4ˆ1ˆ2ˆ4ˆ5ˆ4ˆ3ˆ0ˆ 2  =∆  in Z  3 Rezolvati sistemul in Z 4 =++=++=++ 0ˆ2ˆ2ˆ3ˆ1ˆ2ˆ  z  y x z  y x z  y x 4 Sa se calculeze rangul matricei          3ˆ2ˆ1ˆ2ˆ2ˆ1ˆ1ˆ1ˆ1ˆ   in Z 5 5 Sa se calculeze inversa matricei          2ˆ4ˆ0ˆ3ˆ2ˆ0ˆ2ˆ1ˆ3ˆ   in Z ! Nr 3  4.Rezolvati in Z   ecuatia 2ˆ4ˆˆ2ˆ =+⋅  x 5. Calculati 1ˆ4ˆ7ˆ2ˆ4ˆ5ˆ4ˆ3ˆ7ˆ 2  =∆  in Z  .Rezolvati sistemul in Z 5 =++=++=++ 1ˆ2ˆ1ˆ2ˆ2ˆ3ˆ  z  y x z  y x z  y x 4 Sa se calculeze rangul matricei          3ˆ2ˆ0ˆ0ˆ2ˆ1ˆ1ˆ1ˆ3ˆ   in Z    5 Sa se calculeze inversa matricei         = 2ˆ3ˆ1ˆ2ˆ2ˆ3ˆ1ˆ3ˆ2ˆ  B   in Z 4 Nr 4 1 . Rezolvati in Z 5  ecuatia .4ˆ2ˆˆ4ˆ =+⋅  x 2. Calculati 1ˆ4ˆ1ˆ2ˆ4ˆ5ˆ4ˆ3ˆ0ˆ 2  =∆  in Z ! 3 Rezolvati sistemul in Z 5 =+=++=++ 0ˆ2ˆ2ˆ2ˆ4ˆ3ˆ  y x z  y x z  y x 4 Sa se calculeze rangul matricei          3ˆ2ˆ1ˆ2ˆ2ˆ1ˆ1ˆ1ˆ1ˆ   in Z 5 5 Sa se calculeze inversa matricei          2ˆ4ˆ0ˆ3ˆ2ˆ0ˆ2ˆ1ˆ3ˆ   in Z 5
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