11.07.2015 Views

RIJEÅ ENI ZADACI IZ MATEMATIKE

RIJEÅ ENI ZADACI IZ MATEMATIKE

RIJEÅ ENI ZADACI IZ MATEMATIKE

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⎡⎤2 −1 1 −212. Odredite rang matrice A ako je A = ⎣1 3 4 −1⎦0 1 1 0Rješenje:Radimo elementarne transformacije nad matricom...⎡⎤2 −1 1 −2⎡1 3⎤4 −1⎣1 3 4 −1⎦ ∼ ⎣2 −1 1 −2⎦ ∼0 1 1 0 0 1 1 0⎡⎤ ⎡ ⎤1 3 4 −1 1 3 4 −1∼ ⎣0 −7 −7 0 ⎦ ∼ ⎣0 1 1 0 ⎦ ∼0 1 1 0 0 1 1 0⎡ ⎤1 3 4 −1∼ ⎣0 1 1 0 ⎦0 0 0 0r(A) = 213

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