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Let a ,b , c be the real numbers. The fo...

Let `a ,b , c` be the real numbers. The following system of equations in `x ,y ,a n dz` `(x^2)/(a^2)+(y^2)/(b^2)-(z^2)/(a^2)=1,(x^2)/(a^2)-(y^2)/(b^2)+(z^2)/(a^2)=1,-(x^2)/(a^2)+(y^2)/(b^2)+(z^2)/(a^2)=1` has a. no solution b. unique solution c. infinitely many solutions d. finitely many solutions

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CENGAGE-DETERMINANTS-All Questions
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  2. Let |{:(x,,2,,x),(x^(2),,x,,6),(x,,x,,6):}|=Ax^(4) +Bx^(3)+Cx^(2)+Dx+E...

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

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  4. The value of the determinant |[sintheta, costheta, sin2theta] , [sin(t...

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  5. Find the value of the determinant |b cc a a b p q r1 1 1|,w h e r ea ,...

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  6. let a > 0 , d > 0 find the value of the determinant |[1/a,1/(a(a + d))...

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  7. For all values of A,B,C and P,Q,R show that |{:(cos(A-P),,cos(A-Q)...

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  8. Let lambdaa n dalpha be real. Find the set of all values of lambda for...

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  9. Prove that |a x-b y-c z a y+b x c x+a z a y+b x b y-c z-a x b z+c y c...

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  10. If (x)=|alpha+xtheta+xlambda+xbeta+xvarphi+xmu+xgamma+xpsi+x v+x| show...

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  11. If alpha,beta,gamma are different from 1 and are the roots of a x^3+b ...

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  12. If p+q+r=0=a+b+c =0, then the value of the determnalnt |p a q b r c q ...

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  13. Let =|2a1b1a1b2+a2b1a1b3+a3b1a1b2+a2b1 2a2b2a2b3+a3b2a1b3+a3b1a3b2+a2b...

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  14. If 2s=a+b+c and A=|[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[(s-c)^...

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  15. Evaluate |^x C1^x C2^x C3^y C1^y C2^y C3^z C1^z C2^z C3|

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

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

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

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

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

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