RIJEÃ…Â ENI ZADACI IZ MATEMATIKE
RIJEÃ…Â ENI ZADACI IZ MATEMATIKE
RIJEÃ…Â ENI ZADACI IZ MATEMATIKE
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20. Riješite sustav,Rješenje:2x − y + z = 3x + 2y − 3z = 13x + y − 2z = 6⎡⎤ ⎡⎤ ⎡⎤ ⎡⎤2 −1 1 | 3 1 2 −3 | 1 1 2 −3 | 1 1 2 −3 | 1⎣1 2 −3 | 1⎦ ∼ ⎣2 −1 1 | 3⎦ ∼ ⎣0 −5 7 | 1⎦ ∼ ⎣0 −5 7 | 1⎦3 1 −2 | 6 3 1 −2 | 6 0 −5 7 | 3 0 0 0 | 2, sustav nema rješenja!r(A) = 2, r(A|b) = 3r(A) ≠ r(A|b)21
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