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बिना प्रसार किये दिखाइए कि निम्न सारणिको...

बिना प्रसार किये दिखाइए कि निम्न सारणिकों के मान शून्य हैं :
(i) `|(4,1,4),(0,1,0),(1,2,1)|`
(ii) `|(-3,1,0),(5,6,2),(-9,3,0)|`
(iii) `|(a,b,c),(a+3x,b+3y,c+3z),(x,y,z)|`
(iv) `|(a+b,b+c,c+a),(c,a,b),(1,1,1)|`
(v) `|(1,omega^(4),omega^(5)),(omega^(4),omega^(5),1),(omega^(5),1,omega^(4))|`
जहाँ `1, omega, omega^(2)` इकाई के घनमूल हैं |

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