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6. Determinants
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Q1 of 256 Page 7

Evaluate the following determinant:



Applying C1 → C1 + C2 + C3 + C4, we get,




Now, applying R2 → R2 – R1, R3 → R3 – R1, R4 → R4 – R1, we get





Now, applying R1 → R1 + 3R3




= (40)(8)(40)(40) = 512000


So, Δ = 512000


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Questions · 256
6. Determinants
1 1 1 1 1 1 1 2 3 4 5 6 7 8 9 10 10 10 10 10 10 11 12 12 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 52 52 52 52 52 52 52 52 53 54 1 1 1 1 2 2 2 2 3 4 5 6 7 8 9 10 11 12 12 13 13 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56
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