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Evaluate |[1,1,1],[a,b,c],[b+c,c+a,a+b]|...

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`|[1,1,1],[a,b,c],[b+c,c+a,a+b]|`

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Evaluate Delta=|[1, a, bc],[ 1, b, c a],[ 1, c, a b]|

Find the value of the determinant |[1, a, b+c],[ 1, b, c+a],[ 1, c, a+b]|

Without expanding the determinant, Prove that |[a,a^2, bc],[b,b^2,ca],[c,c^2,ab]|= |[1,a^2,a^3],[1,b^2,b^3],[1,c^2,c^3]|

Using properties of determinants prove the following. abs[[1,1,1],[a,b,c],[a^3,b^3,c^3]]=(a-b)(b-c)(c-a)(a+b+c)

prove |[1, b c, a(b+c)],[ 1, c a, b(c+a)],[ 1, a b, c(a+b)]|=0

Show that abs [[1,a,bc],[1,b,ac],[1,c,ab]]=(a-b)(b-c)(c-a)

Prove that Prove that Delta=|(1,1,1),(a,b,c),(bc+a^(2),ac+b^(2),ab+c^(2))|=2(a-b)(b-c)(c-a)

Prove that |[1 , a , a^3],[ 1, b, b^3],[ 1, c, c^3]|=(a-b)(b-c)(c-a)(a+b+c)

Using properties of determinants prove the following. abs[[1,a,bc],[1,b,ca],[1,c,ab]]=(a-b)(b-c)(c-a)

Using properties of determinants show that abs[[1+a,1,1],[1,1+b,1],[1,1,1+c]]=abc(1+1/a+1/b+1/c)

A N EXCEL PUBLICATION-DETERMINANTS-QUESTION TYPE
  1. Evaluate |[102,18,36],[1,3,4],[17,3,6]|

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  2. Evaluate |[1,1,1],[a,b,c],[b+c,c+a,a+b]|

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  3. prove that abs[[a,b,c],[a+2x,b+2y,c+2z],[x,y,z]]=0

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  4. Using properties of determinants prove the following. abs[[b+c,a,...

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  5. Consider the determinant Delta=abs[[x,x^2,1+x^3],[y,y^2,1+y^3],[z,z^2,...

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  6. Using properties, prove that |[1,omega,omega^2],[omega,omega^2,1],[om...

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

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  8. Using properties of determinants show that abs[[1+a,1,1],[1,1+b,1]...

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  9. Consider the determinant D=|[1,3,5],[2,6,10],[31,11,38]| On taking 2 ...

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  10. Consider the determinant D=|[1,3,5],[2,6,10],[31,11,38]| Evaluate De...

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  11. Consider the determinant Delta =|[1,a,a^2-bc],[1,b,b^2-ca],[1,c,c^2-b...

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  12. Consider the determinant Delta =|[1,a,a^2-bc],[1,b,b^2-ca],[1,c,c^2-b...

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  13. Consider the equation |[3x-8,3,3],[3,3x-8,3],[3,3,3x-8]|=0 OperatingC1...

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  14. Consider the equation |[3x-8,3,3],[3,3x-8,3],[3,3,3x-8]|=0 Solve the ...

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  15. Without expanding the determinant prove the following. |[x,a,x+a],[y...

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  16. Without expanding the determinant prove the following. |[2,7,65],[3,...

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

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

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

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

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