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|{:(13,16,19),(14,17,20),(15,18,21):}|...

`|{:(13,16,19),(14,17,20),(15,18,21):}|`

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Prove that the following matrix are singular: . [(13,16,19),(14,17,20),(15,18,21)]

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Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. (i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)} (ii) {(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)} (iii) {(1,3),(1,5),(2,5)}

Find the mean deviation about the mean for the following data : 12, 3, 18, 17, 4, 9, 17, 19, 20, 15, 8, 17, 2, 3, 16, 11, 3, 1, 0, 5

Find the mean deviation about the median for the data in 13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17

The range of the data 12,25,15,18,17,20,22,26,6,16,11,8,19,10,30,20,32 is

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If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 } , C = { 2, 4, 6, 8, 10, 12, 14, 16 }, D = {5, 10, 15, 20 } , find A – C

CHHAYA PUBLICATION-DETERMINANT -EXERCISE 2A
  1. Find the value of x if , |{:(3,x),(x,1):}|=|{:(3,2),(4,1):}|

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  2. |{:(-1," "1," "1),(" "2,-2," "2),(" "3," "3,-3):}|

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  3. |{:(13,16,19),(14,17,20),(15,18,21):}|

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  4. |{:(" "1," "4,-3),(-4," "1," "2),(" "3,-2," "1):}|

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  5. |{:(x,z,0),(0,y,y),(z,0,x):}|

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  6. |{:(1,a,bc),(1,b,ca),(1,c,ab):}|

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  7. |{:(1," "1," "1),(1,1+x," "1),(1," "1,1+y):}|

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  8. |{:(1+a," "b," "c),(" "a,1+b," "c),(" "a," "b,1+c):}|

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  9. |{:(" "1," "z,-y),(-z," "1," "x),(" "y,-x," "1):}|

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  10. |{:(-a," "a," "a),(" "b,-b," "b),(" "c," "c,-c):}|

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  11. |{:(0," "sinalpha,-cosbeta),(cosalpha," "0," "sinbeta),(cos alpha,-sin...

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  12. write minor and cofactor ; |{:(5,2),(0,-1):}|

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  13. write minor and cofactor ; |{:(-1,4),(2,3):}|

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  14. write down the minor and cofactor |{:(1,a,bc),(1,b,ca),(1,c,ab):}|

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  15. write down the minor and cofactor |{:(0,2,6),(1,5,0),(3,7,1):}|

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  16. Evaluate the determinant |{:(" "2,3,-5),(" "7,1,-2),(-3,4," "1):}| ...

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  17. If [.] denotes the greatest ingeter less then or equal to the real num...

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  18. Evalute the determinant D=|{:(" "1," "sintheta,1),(-sintheta," "1,si...

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  19. Find the minors and the cofactors of each element of the first column ...

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  20. If A=[{:(1,3),(2,1):}],find the determinant of the matrix A^2-2A.

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