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Using factor theorem, show that |(-2a,a+...

Using factor theorem, show that `|(-2a,a+b,c+a),(a+b,-2a,b+c),(c+a,c+b,-2c)|=4(a+b)(b+c)(c+a)`

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CENGAGE-DETERMINANTS-All Questions
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  2. Evaluate |^x C1^x C2^x C3^y C1^y C2^y C3^z C1^z C2^z C3|

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  3. Using factor theorem, show that |(-2a,a+b,c+a),(a+b,-2a,b+c),(c+a,c+b,...

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  4. If a determinant of order 3xx3 is formed by using the numbers 1 or -1 ...

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  5. If z=|-5 3+4i5-7i3-4i6 8+7i5+7i8-7i9|,t h e nz is purely real purely ...

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  6. Consider the following linear equations: a x+b y+c z=0 b x+c y+a z=0 c...

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  7. If omega = cis (2pi)/(3), then number of distinct roots of |(z+1,omega...

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  8. If omega is the complex cube root of unity then |[1,1+i+omega^2,omeg...

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  9. Consider the determinant "Delta"=|a1+b1x^2a1x^2+b1c1a2+b2x^2a2x^2+b2c2...

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  10. Evaluate : int dx/(2x^2+x+3)

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  11. If a x1 2+b y1 2+c z1 2=a x2 2+b y2 2+c z2 2=a x3 2+b y3 2+c z3 2=d ,a...

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  12. If A , B ,a n dC are the angles of triangle, show that the system o...

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  13. Let alpha,beta,gamma are the real roots of the equation x^3+a x^2+b x+...

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  14. If a1, a2, a3,54,a6,a7, a8, a9 are in H.P., and D=|a1a2a3 4 5a6a7a8a9|...

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  15. Column I, Column II The value of the determinant |x+2x+3x+5x+4x+6x...

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  16. If a ,b ,and c are the sides of a triangles andA , B and C are the ang...

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  17. If f(x) is a polynomial of degree <3, prove that |1af(a)//(x-a)1bf(b)/...

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  18. Prove that =|a c c-a +b c b b-c b+c a-b b-c 0 a-c x y z 1+x+y|=0 impli...

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  19. Solve for x in R : |((x+a)(x-a),(x+b)(x-b),(x+c)(x-c)),((x-a)^3,(x-b)...

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  20. Absolute value of sum of roots of the equation |x+22x+3 3x+4 2x+3 3x+4...

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