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Without expanding the determinant prove...

Without expanding the determinant prove the following.
`|[1,bc,a(b+c)],[1,ca,b(c+a)],[1,ab,c(a+b)]|=0`

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A N EXCEL PUBLICATION-DETERMINANTS-QUESTION TYPE
  1. Without expanding the determinant prove the following. |[2,7,65],[3,...

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  2. Without expanding the determinant prove the following. |[b+c,q+r,y+z...

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  3. Without expanding the determinant prove the following. |[1,bc,a(b+c)...

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  4. Without expanding the determinant prove the following. |[a-b,b-c,c-a...

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  5. By using properties of determinants, prove that |[0,a ,-b],[-a,0,-c],...

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  6. By using properties of determinants, prove that |[-a^2,ab,ac],[ba,-b^...

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  7. using properties of determinants, prove that abs[[1,a,a^2],[1,b,b^2],...

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  8. Using properties of determinants prove the following. abs[[1,1,1],...

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  9. By using properties of determinants, prove that |[x,x^2,yz],[y,y^2,zx...

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  10. By using properties of determinants, prove that |[x+4,2x,2x],[2x,x+4,...

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  11. By using properties of determinants, prove that |[y+k,y,y],[y,y+k,y],...

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  12. Prove that abs[[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]]=(a+b+c)^3

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  13. By using properties of determinants, prove that |[x+y+2z,x,y],[z,y+z+...

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  14. Using properties of determinants prove the following. abs[[1,x,x^2...

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  15. By using the properties of determinants,prove that |[1+a^2-b^2,2ab ,-...

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  16. By using the properties of determinants,prove that |[a^2+1,ab ,ac],[a...

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  17. Let A be a square matrix of order 2x2 thenabs[KA] is equal to

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  18. Which of the following is correct?

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  19. Consider a triangle whose vertices are (3,8),(-4,2) and (5,1) Find are...

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  20. Find the equation of the line joining A(1,3) and B(0,0) using determin...

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