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Solve the following sets of equations us...

Solve the following sets of equations using Cramer's rule and remark about their consistency `x + y +z-6=0, 2x+y-z-1=0 ,x+y-2z+3=0`

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ALLEN-DETERMINANTS-All Questions
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  2. Prove that |((beta+gamma-alpha-delta)^4,(beta+gamma-alpha-delta)^2,1),...

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  3. Solve the following sets of equations using Cramer's rule and remark a...

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  4. Solve the following sets of equation using Cramers rule and remark ...

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  5. Solve the following sets of equation using Cramers rule and remark ...

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  6. . For what values of lambda and mu the system of equations x+y+z=6, x+...

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  7. Find those values of c for which the equations: 2x+3y=3,(c+ 2)x + (c +...

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  8. Let a, b, c, d be real numbers in G.P. If u, v, w satisfy the system...

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  9. If a^2+b^2+c^2=1 then show that value of the determinant |a^2+(b^2+c^2...

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  10. If Sr = alpha^r + beta^r + gamma^r then show that |[S0,S1,S2],[S1,S2,S...

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  11. Solve the system of equations : z+ay+a^2x+a^3=0 z+by+b^2x+b^3=0 z+cy+c...

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  12. If x ,\ y , z are not all zero and if a x+b y+c z=0; b x+c y+a z=0; c ...

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  13. If a^2+b^2+c^2=-2\ a b n df(x)=|1+a^xx(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1...

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  14. The value of |alpha| for which the system of equation alphax+y+z=alpha...

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  15. If D=|1 1 1 1 1+x1 1 1 1+y|"f o r"x!=0, y!=0 then D is (1) divisibl...

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  16. Let a, b, c be any real numbers. Suppose that there are real number...

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  17. Let a, b, c be such that b(a""+""c)!=0 . If |a a+1a-1-bb+1b-1cc-1c...

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  18. Consider the system of linear equations; x-1\ +2x2+x3=3 2x1+3x2+3=3 3x...

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  19. The number of value of k for which the linear equations 4x+k y+2z=0k x...

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  20. If the trivial solution is the only solution of the system of equation...

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