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MCGROW HILL PUBLICATION-DETERMINANTS-EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)
- |(log3 512,log4 3),(log3 8,log4 9)|xx |(log2 3,log8 3),(log3 4,log3 4)...
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- If |(3,2),(1,x)|-|(2x,3),(-2,1)|=|(4.1,1),(2,1)|^(2), then x=
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- If |(1,2,3),(2,x,3),(3,4,5)|=0 then x=
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- Let omega!=1 be a cube root of unity, and Delta=|(2,2omega,-omega^(2))...
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- If Delta(1)=|(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a)| and Delta(2)=|...
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- Suppose a,b,c epsilon R and Delta=|(a,a+b,a+b+c),(3a,4a+3b,5a+4b+3c)...
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- Suppose a(1),a(2),a(3),b(1),b(2),b(3),c(1),c(2),c(3)epsilon R. Let D...
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- Let f(x)=|(4x^(2)+2x,2x+1,2x-2),(8x^(2)+6x-1,6x,6x-3),((2x+1)^(2)+2,...
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- Let f(x)=|(1,3,5),(x-2,3x^(2)-12,5x^(3)-40),(x-3,3x^(2)-27,2x^(3)-54)|...
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- Suppose x+iy=|(7i,-5i,1),(14,5i,-1),(28,5,i)| then sqrt((x+1//4)^(2)+y...
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- Suppose a,b,c, gt0 and |(a^(3)-1,a^(2),a),(b^(3)-1,b^(2),b),(c^(3)-1...
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- Suppose omega!=1 is a sube root of unity, and Delta=|(1,omega^(2),1-...
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- Suppose a,b epsilon R and |(x,a,b),(a,x,b),(b,b,x)|-4k(x-a)(x^(2)+ax-2...
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- The value of k for which the system of linear equations (2k+2)x+10y=...
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- |(1,cos(pi//12),cos(pi//3)),(cos(pi//12),1,cos(pi//4)),(cos(pi//3),cos...
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