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Show that |(x+y,y+z,z+x),(y+z,z+x,x+y),(...

Show that `|(x+y,y+z,z+x),(y+z,z+x,x+y),(z+x,x+y,y+z)|=2[3xyz-x^(3)-y^(3)-z^(3)]`

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`2[3xyz-x^(3)-y^(3)-z^(3)]`
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PREMIERS PUBLISHERS-MATRICES AND DETERMINANTS-PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)
  1. Show that |(x+y,y+z,z+x),(y+z,z+x,x+y),(z+x,x+y,y+z)|=2[3xyz-x^(3)-y^(...

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  2. If a(ij)=i^(2)-j and A=(a(ij))(2xx2)is:

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  3. Solve|(x-1,2),(3,x-2)|=0

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  4. If 2x+[(3,1),(5,-3)]=[(-1,5),(3,-1)]then x is

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  5. If A=[(3,2,1),(0,4,2),(1,2,3)]and B=[(3,2,0),(4,8,0),(-1,6,2)],then

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  6. If the points (2,-4)(6,2)(4,x) are collinear than x is:

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  7. If the square matrix |(alpha,Beta),(Beta,-alpha)|is a unit matrix of o...

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  8. A=[(0,-2,1),(2,0,-4),(-1,0,0)]then A is

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  9. If A=[(2x,2y,2z),(2a,2b,2c),(2p,2q,2r)]and Delta =[(x,y,z),(a,b,c),(p,...

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  10. If A+2I=[(6,2),(3,-4)],then A(A+I)=

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  11. Find the matrix A if[(1,2),(0,1)]A=[(6,1),(2,1)]

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  12. Find the value of x for which A=[(e^(2x+1),e^(x-2)),(e^(2-x),e^(x-7))]...

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  13. If A is (a(ij))(mxxn),B=(b(ij)(nxxp)),C=(c(ij)(pxxq))Then (ABC)^(T) wi...

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  14. Ifr A is a skew symmetrix matrix of order 3 and B is column matrix of ...

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  15. If A=[(2,4,-5),(3,1,-2),(0,2,-3)],find the coefficient of order 3:

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  16. If A and B are square matrix of same order then (A-B)^(T) is:

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  17. |((x+1/x)^(2),(x-1/x)^(2),1),((y+1/y)^(2),(y-1/y)^(2),1),((z+1/z)^(2),...

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  18. Evaluate |(45,71,26),(35,-21,14),(77,50,40)|:

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  19. if|(b+c,a-c,a-b),(b-c,c+a,b-a),(c-b,c-a,a+b)|=k(abc).Then k is:

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  20. The area ofDelta with vertices (-2,-3),(3,2),and (-1,x).Then x is:

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  21. Which of the followinf is not true about the matrix[(5,0,0),(0,0,0),(0...

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