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- Using properties of determinants, evaluate |18 40 89 40 89 198 89 198 ...
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- if A(1) ,B(1),C(1) ……. are respectively the cofactors of the elem...
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- Solve for x |x-2 2x-3 3xx-4x-4 2x-9 3x-16 x-8 2x-27 3x-64|=0.
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- If "Delta"1=|x bb a x b a a x|a n d"Delta"2=|x b a x| are the given de...
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- Without expanding evaluate the determinant |(sinalpha,cosalpha,sin(alp...
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- if y= sin mx, them the value of the determinant |{:(y,,y(1),,y(...
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- Find the value of the determinant |1 1 1 1 1 2 3 4 1 3 6 10 1 4 10 20|
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- The parameter on which the value of the determinant |1a a^2"cos"(p-d)x...
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- If x=c y+b z ,y=a z+c x ,z=bx+a y ,w h e r ex ,y ,z are not all zero...
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- If |[b^2+c^2,a b,a c],[ a b, c^2+a^2,b c],[c a, c b, a^2+b^2]|=k a^2b^...
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- The value of |-1 2 1 3+2sqrt(2)2+2sqrt(2)1 3-2sqrt(2)2-2sqrt(2)1| is e...
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- Find the following system of equations is consistent, (a+1)^3x+(a+2...
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- Prove the identities: |[b^2+c^2,ab, ac],[ba,c^2+a^2,bc],[ca, cb ,a^2+...
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- Prove that [[1+a^2+a^4, 1+a b+a^2b^2 ,1+a c+a^2c^2],[ 1+a b+a^2b^2, 1+...
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- If x , y , z are in A.P. , then the value of the determinant are in A....
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- Prove that |((b+x)(c+x),(c+x)(a+x),(a+x)(b+x)),((b+y)(c+y),(c+y)(a+y),...
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- If a+b+c=0, one root of [[a-x, c, b],[c, b-x, a],[ b, a, c-x]]=0 is ...
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- Factorize the following |3a+b+c a^3+b^3+c^3a+b+c a^2+b^2+c^2a^4+b^4+ ...
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- Let {D1, D2, D3 ,Dn} be the set of third order determinant that can be...
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- If g(x)-(f(x))/((x-a)(x-b)(x-c)),w h e r ef(x) is a polynomial of d...
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