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|{:(9,9,12),(1,-3,-4),(1,9,12):}|=0...

`|{:(9,9,12),(1,-3,-4),(1,9,12):}|=0`

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If R = {(3,9),(3,12),(4,8),(4,12),(5,10),(6,12)} be a given relation, then domain of R =

If A={:[(2,0,9),(-1,6,10),(4,-1,2)]:},B={:[(0,-1,-2),(3,2,-1),(4,-2,0)]:} and C={:[(1,-2,0),(0,1,2),(3,0,-1)]:} then show that, A(B+C) = AB + AC.

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If A = {:[( 1,1,-2),(2,1,-3),(5,4,-9)]:}, Find |A|

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CHHAYA PUBLICATION-DETERMINANT -EXERCISE 2B
  1. |{:(a+1,a+4,a+2),(a+2,a+5,a+4),(a+3,a+6,a+6):}|=0

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  2. |{:(" "0," "a,b),(-a," "0,c),(-b,-c,0):}|

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  3. |{:(9,9,12),(1,-3,-4),(1,9,12):}|=0

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  4. |{:(a,a^2,bc),(b,b^2,ca),(c,c^2,ab):}|=|{:(1,a^2,a^3),(1,b^2,b^3),(1,c...

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  5. |{:(441,442,443),(445,446,447),(449,450,451):}|=0

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  6. Prove |{:(cos(x-a),cos(x+a),cosx),(sin(x+a),sin(x-a),sinx),(cosa tan x...

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  7. |{:(101,103,105),(104,105,106),(107,108,109):}|=0

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  8. |{:(5^2,5^3,5^4),(5^3,5^4,5^5),(5^4,5^6,5^7):}|=0

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  9. |{:(1,alpha,alpha^2),(1,beta,beta^2),(1,gamma,gamma^2):}|=(alpha-beta)...

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  10. |{:(1,1,1),(a,b,c),(bc,ca,ab):}|=(a-b)(b-c)(c-a)

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  11. |{:(1,alpha,alpha^3),(1,beta,beta^3),(1,gamma,gamma^3):}|=(alpha-beta)...

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  12. |{:(a+b+2c," "a," "b),(" "c,b+c+2a," "b),(" "c,...

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  13. |{:(1,1,1),(a^2,b^2,c^2),(a^3,b^3,c^3):}|=(b-c)(c-a)(a-b)(bc+ca+ab)

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  14. |{:(a,b,c),(a^2,b^2,c^2),(a^3,b^3,c^3):}|=abc(a-b)(b-c)(c-a)

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  15. |{:(a,b,c),(a^2,b^2,c^2),(b+c,c+a,a+b):}|=(a-b)(b-c)(c-a)(a+b+c)

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  16. |{:(1+x,1,1),(1,1+y,1),(1,1,1+z):}|=xy+yz+zx+xyz

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  17. |{:(x+4,2x,2x),(2x,x+4,2x),(2x,2x,x+4):}|=(5x+4)(x-4)^2

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  18. |{:(1+a,1,1),(1,1+a,1),(1,1,1+a):}|=a^3+3a^2

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  19. |{:(1,b+c,b^2+c^2),(1,c+a,c^2+a^2),(1,a+b,a^2+b^2):}|=(b-c)(c-a)(a-b)

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  20. |{:(a^2,ab,ac),(ab,b^2,bc),(ca,bc,c^2):}|=?

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