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- For what values of k , the following system of equations possesses ...
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- Let a ,b , c in R such that no two of them are equal and satisfy |(2a...
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- Solve by Cramers rule x+y+z=6 x-y+z=2 3x+2y-4z=-5
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- The value of the determinant |(k a, k^2+a^2, 1),(k b, k^2+b^2, 1),(k c...
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- Find the value of aa n db if the system of equation a^2x-b y=a^2-ba...
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- If (x1-x2)^2+(y1-y2)^2=a^2, (x2-x3)^2+(y2-y3)^2=b^2, (x3-x1)^2+(y3-y1...
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- f(x)=|cos xx1 2sinxx^2 2xtanxx1| . Then value of (lim)(xvec0)(f(x))/x ...
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- If the system of linear equation x + 2ay + az = 0, x + 3by + bz = 0, x...
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- Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...
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- If |a^2+lambda^2a b+clambdac a-blambdaa b-clambdab^2+lambda^2b c+...
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- Value of |1+x1 1+x1x1+x1x^2 1+x2 1+x2x1+x2x^2 1+x3 1+x3x1+x3x^2| depen...
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- If (x)=|alpha+xtheta+xlambda+xbeta+xvarphi+xmu+xgamma+xpsi+x v+x| show...
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- The value of determinant |b c-a^2a c-b^2a b-c^2a c-b^2a b-c^2b c-a^2a ...
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- The value of the determinant (a1-b1)^2(a1- ...
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- If l1^2+m1^2+n1^2=1 etc., and l1 l2+m1 m2+n1 n2 = 0, etc. and Delta...
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- Integrate (sinx)/((sinx-cosx))dx=?
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- The value of determinant |[ ^n C(r-1), ^n Cr, (r+1)^(n+2)C(r+1)],[ ^n...
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- Let |{:(x,,2,,x),(x^(2),,x,,6),(x,,x,,6):}|=Ax^(4) +Bx^(3)+Cx^(2)+Dx+E...
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- Let a ,b , c be the real numbers. The following system of equations in...
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- The value of the determinant |[sintheta, costheta, sin2theta] , [sin(t...
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