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If `a ,b ,c in R ,` then find the number of real roots of the equation `Delta =|[x, c,-b],[-c, x, a], [b,-a,x]|=0`

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CENGAGE ENGLISH-DETERMINANTS-All Questions
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  7. If the entries in a 3xx3 determinant are either 0 or 1, then the grea...

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  8. The value of the determinant of n^(t h) order, being given by |[x, 1, ...

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  9. Prove that a!=0,|[x+a, x,x],[x,x+a,x],[x,x,x+a^2]|=0 represents a stra...

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  10. If =|[a b c, b^2c,c^2b],[ a b c,c^2a, c a^2],[a b c, a^2b,b^2a]|=0,(a ...

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  11. The value of |[yz, z x,x y],[ p,2p,3r],[1, 1, 1]|,w h e r ex ,y ,z ar...

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  13. If x!=0,y!=0,z!=0 and |[1+x,1,1],[1+y,1+2y,1],[1+z,1+z,1+3z]|=0, then ...

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  14. If x!=y!=za n d|[x,x^2, 1+x^3],[y ,y^2 ,1+y^3],[z, z^2, 1+z^3]|=0, th...

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  16. Solve for x , |[x,-6,-1], [ 2,-3x,x-3], [-3, 2x, x+2]|=0.

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  18. Solve the equation |[a-x, c, b], [ c, b-x, a], [b, a, c-x]|=0 where a...

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  19. If a^2+b^2+c^2=-2a n df(x)= |1+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c...

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  20. Consider the set A of all determinants of order 3 with entries 0 or 1 ...

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