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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 ENGLISH-DETERMINANTS-All Questions
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  3. Let a ,b , c be the real numbers. The following system of equations in...

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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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  10. 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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  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 , then the value of the determinant |[p a, q b, r c],...

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  13. Let triangle =|[2a1b1, a1b2+a2b1, a1b3+a3b1], [a1b2+a2b1, 2a2b2, a2b3+...

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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. Find the value of lambda for which |{:(2a1+b1 , 2a2+b2 , 2a3+b3),(2b1+...

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  16. Prove that: |[-2a, a+b,a+c],[ b+a,-2b,b+c],[c+a, c+b,-2c]|=4(a+b)(b+c...

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  17. if a determinant of order 3xx 3 is formed by using the numbers 1 ...

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  18. If z=|[-5, 3+4i,5-7i],[3-4i,6 ,8+7i],[5+7i,8-7i,9]|,t h e nz is (a) p...

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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. Let omega be the complex number cos((2pi)/3)+isin((2pi)/3). Then the...

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