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- For a fixed positive integer n , if =|n !(n+1)!(n+2)!(n+1)!(n+2)!(n+3)...
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- If Dr=|2^(r-1)2(3^(r-1))4(5^(r-1))x y z2^n-1 3^n-1 5^n-1| then p...
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- If D=|[1/z,1/z,-(x+y)/(z^2)],[-(y+z)/(x^2),1/x,1/x],[-(y(y+z)/(x^2z))...
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- Prove that |((beta+gamma-alpha-delta)^4,(beta+gamma-alpha-delta)^2,1),...
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- Solve the following sets of equations using Cramer's rule and remark a...
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- Solve the following sets of equation using Cramers rule and remark ...
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- Solve the following sets of equation using Cramers rule and remark ...
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- . For what values of lambda and mu the system of equations x+y+z=6, x+...
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- Find those values of c for which the equations: 2x+3y=3,(c+ 2)x + (c +...
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- Let a, b, c, d be real numbers in G.P. If u, v, w satisfy the system...
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- 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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- If Sr = alpha^r + beta^r + gamma^r then show that |[S0,S1,S2],[S1,S2,S...
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- 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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- 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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- 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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- The value of |alpha| for which the system of equation alphax+y+z=alpha...
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- 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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- Let a, b, c be any real numbers. Suppose that there are real number...
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- Let a, b, c be such that b(a""+""c)!=0 . If |a a+1a-1-bb+1b-1cc-1c...
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- Consider the system of linear equations; x-1\ +2x2+x3=3 2x1+3x2+3=3 3x...
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