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4. Determinants
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Q2 of 127 Page 141

Without expanding the determinant, prove that


Multiplying row 1 with a, row 2 with b and row 3 with c


[R1→ aR1, R2→ bR2, R3→ cR3]



[Taking common abc from C3]



[Applying C1↔ C3]


= [Applying C2 ↔ C3]


= RHS


Since, LHS = RHS


∴ the given result is proved.


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The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs. 60. The cost of 2 kg onion, 4 kg wheat and 6 kg rice is Rs. 90. The cost of 6 kg onion 2 kg wheat and 3 kg rice is Rs. 70. Find cost of each item per kg by matrix method.

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Questions · 127
4. Determinants
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