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6. Determinants
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Q3 of 256 Page 6

Evaluate

Since |AB|= |A||B|



= 2(17×12 – 5×20) – 3(13×12 – 5×15) + 7(13×20 – 15×17)


= 2(204 – 100) – 3(156 – 75) + 7(260 – 255)


= 2×104 – 3×81 + 7×5


= 208 – 243 +35


= 0


Now |A|2 = |A|×|A|


|A|2= 0


More from this chapter

All 256 →
1

Write the minors and cofactors of each element of the first column of the following matrices and hence evaluate the determinant in each case:

2

Evaluate the following determinants:

i.


ii.


iii.


iv.

4

Show that

5

Evaluate by two methods.

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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