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Evaluate |[x, y, x+y],[ y, x+y, x],...

Evaluate `|[x, y, x+y],[ y, x+y, x],[ x+y, x, y]|`

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BODY BOOKS PUBLICATION-DETERMINANTS-EXERCISE
  1. Let A=[(1,4,0),(-1,2,2),(0,0,2)] Find Adj A.

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  2. Let A=[(1,4,0),(-1,2,2),(0,0,2)] Find A^-1

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  3. Evaluate |[x, y, x+y],[ y, x+y, x],[ x+y, x, y]|

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  4. Let A = [[1,Sintheta,1],[-Sintheta,1,Sintheta],[-1,-Sintheta,1]], wher...

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  5. Consider the system of equations x-y+z=3,2x+y-z=2,-x-2y+2z=1. Convert ...

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  6. Consider the system of equations x-y+z=3,2x+y-z=2,-x-2y+2z=1. Is A inv...

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  7. Given Delta=|(x,x^2,1+px^3),(y,y^2,1+py^3),(z,z^2,1+pz^3)| Express thi...

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  8. Given Delta=|(x,x^2,1+px^3),(y,y^2,1+py^3),(z,z^2,1+pz^3)| Prove that ...

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  9. Ashok purchased 3 pencils, 2 instrument boxes and 1 pen and paid Rs 41...

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  10. Ashok purchased 3 pencils, 2 instrument boxes and 1 pen and paid Rs 41...

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  11. If A=[(1,2,-3),(2,3,2),(3,-3,-4)] Is A non-singular? Why?

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  12. If A=[(1,2,-3),(2,3,2),(3,-3,-4)] find A^-1.

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  13. If A=[(1,2,-3),(2,3,2),(3,-3,-4)] Solve the system of linear equations...

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  14. If A^(-1)=[[3,-1,1],[-15,6,-5],[5,-2,2]] and B=[[1,2,-2],[-1,3,0],[0,-...

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  15. Ifabs[[1,-3,2],[4,-1,2],[3,5,2]]=40,thenabs[[1,4,3],[-3,-1,5],[2,2,2]]...

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  16. Show that Delta=abs[[-a^2,ab,ac],[ba,-b^2,bc],[ac,bc,-c^2]]=4a^2b^2c^2

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  17. Let the value of a determinant is Delta. Then the value of a determi...

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  18. Show that abs[[a+b,b+c,c+a],[b+c,c+a,a+b],[c+a,a+b,b+c]]=2abs[[a,b,c],...

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  19. The value of the determinant |(sin10,-cos10),(sin50,cos50)| is a)-1 b)...

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  20. Using properties of determinants, show that abs[[a,a^2,b+c],[b,b^2...

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