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The sum of three numbers is 6. If we mul...

The sum of three numbers is 6. If we multiply third number by 3 and add second number to it, we get 11. By adding first and third numbers, we get double of the second number. Represent it algebraically and find the numbers using matrix method.

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A N EXCEL PUBLICATION-DETERMINANTS-QUESTION TYPE
  1. The sum of three numbers is 6. If we multiply third number by 3 and ad...

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  2. Evaluate |[102,18,36],[1,3,4],[17,3,6]|

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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