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If [[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z...

If `[[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]]=0`
then prove that xyz=1 when x,y,z are non zero and unequal.

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
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  2. Find the inverse of [(1,1,2),(0,1,2),(1,2,1)] using elementary operati...

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  3. If [[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]]=0 then prove that xyz...

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  4. If A [[1,2,0],[1,1,0],[-1,4,0]],B=[[1,2,3],[1,1,-1],[1,1,1]]"and"C=[[1...

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  5. Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto

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  6. Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto

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  7. Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto

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  8. Let f:RrightarrowR be defined as f(x)=3x. Then f is one-one and onto

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  9. Find the number of binary operations on the set {a,b}.

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  10. If A, B are symmetric matrices of same order, then find AB-BA.

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  11. Let A be square matrix of order 3times3, then find abs(KA) where, k is...

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  12. If A is an invertible matrix of order 2, then find det(A^(-1)).

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  14. Give an example of a homogeneous differential equation.

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