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- Show that the system of equations 3x-y + 4z = 3, x + 2y-3z =-2 and 6x ...
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- Show that |{:( 2bc-a^2 , c^2 ,b^2),(c^2 , 2ca-b^2 , a^2),(b^2 , a^2 , ...
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- If y=|sinxcosxsinxcosx-sinxcosxx1 1|=fin d(dy)/(dx)dot
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- Consider the system of equation x+y+z=6,x+2y+3z=10 ,a n dx+2y+lambdaz=...
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- Consider the system of linear equations in x , ya n dz : ""(sin3theta...
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- Prove without expansion that |a h+bgga b+c h bf+b afh b+b c af+b cc bg...
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- If alpha,beta "and" gamma are real number without expanding at any sta...
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- If 3 digit numbers A28, 3B9 and 62C are divisible by a fixed constant ...
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- If a=costheta+isintheta,b=cos2theta-isin2theta,c=cos3theta+i sin3theta...
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- Prove that |a1alpha1+b1beta1a1alpha2+b2beta2a1alpha3+b1beta3a2alpha1+b...
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- If alpha,beta,gamma are the roots of p x^3+q x^2+r=0, then the value...
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- Prove that |(a-x)^2(a-y)^2(a-z)^2(b-x)^2(b-y)^2(b-z)^2(c-x)^2(c-y)^2(...
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- If |1xx^2xx^2 1x^2 1x|=, then find the value of |x^3-1 0x-x^4 0x-x^...
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- If |x^n x^(n+2)x^(n+3)y^n y^(n+2)y^(n+3)z^n z^(n+2)z^(n+3)|=(x-y)(y-z)...
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- Solve the system of the equations: a x+b y+c z=d a^2x+b^2y+c^2z=d^2 a^...
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- if |{:(a,,b-c,,c+b),(a+c,,b ,,c-a),(a-b,,a+b,,c):}|=0 then the line ...
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- If 2a x-2y+3z=0,x+a y+2z=0,a n d2+a z=0 have a nontrivial solution,...
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- If |.| denotes the greatest integer less than or equal to the real num...
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- if (x) =a +bx+cx^(2)" and " alpha, beta gamma are the roots of the ...
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- If x ,ya n dz are not all zero and connected by the equations a1x+b...
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