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The value of the determinant |(k a, k^2+...

The value of the determinant `|(k a, k^2+a^2, 1),(k b, k^2+b^2, 1),(k c, k^2+c^2, 1)|` is (A) `k(a+b)(b+c)(c+a)` (B) `k a b c(a^2+b^(2)+c^2)` (C) `k(a-b)(b-c)(c-a)` (D) `k(a+b-c)(b+c-a)(c+a-b)`

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CENGAGE PUBLICATION-DETERMINANTS-All Questions
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  2. Solve for x by Cramers rule x+y+z=6, x-y+z=2 3x+2y-4z=-5

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  3. The value of the determinant |(k a, k^2+a^2, 1),(k b, k^2+b^2, 1),(k c...

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  4. Find the value of a \ a n d \ b if the system of equation a^2x-b y=a...

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  5. If (x1-x2)^2+(y1-y2)^2=a^2, (x2-x3)^2+(y2-y3)^2=b^2, (x3-x1)^2+(y3-y1...

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  6. f(x)=|[cosx,x,1],[2sinx,x^2,2x],[tanx,x,1]| . Then value of lim(x->0)(...

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  7. If a system of three linear equations x+4a y+a=0,x+3b y+b=0, and x+2c...

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  8. Let alpha be a repeated root of a quadratic equation f(x)=0 and A(x...

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  9. If |[a^2+lambda^2,ab+clambda,ca-blambda],[ab-clambda,b^2+lambda^2,bc+a...

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  10. Value of |{:(1+x(1),,1+x(1)x,,1+x(1)x^(2)),(1+x(2),,1+x(2)x,,1+x(2)x^(...

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  11. If f(x)=|(a1+x, b1+x, c1+x), (a2+x, b2+x, c2+x),(a3+x, b3+x, c3+x)|, s...

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  12. The value of determinant |[b c-a^2,a c-b^2,a b-c^2],[a c-b^2,a b-c^2,b...

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  13. Prove that the value of each the following determinants is zero: |a...

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  14. If l1^2+m1^2+n1^2=1 etc., and l1 l2+m1 m2+n1 n2 = 0, etc. and Delta...

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  16. The value of determinant |[ ^n C(r-1), ^n Cr, (r+1)^(n+2)C(r+1)],[ ^n...

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  17. Let |(x,2,x),(x^2,x,6),(x,x,6)|=A x^4+B x^3+C x^2+D x+Edot Then the va...

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  18. If the determinant |[b-c,c-a, a-b],[b^(prime)-c ', c^(prime)-a ', a^(p...

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  19. Let a ,b , c be the real numbers. The following system of equations in...

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  20. By using properties of determinats. Prove that- |(sintheta,costheta,...

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