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Consider the point A(-2,-3),B(3,2),C(-1,...

Consider the point `A(-2,-3),B(3,2),C(-1,-8)
Find third vertex of any other triangle with same area and base AB

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BODY BOOKS PUBLICATION-DETERMINANTS-EXERCISE
  1. Using properties of determinants show that abs[[1+a,1,1],[1,1+b,1]...

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  2. Consider the point A(-2,-3),B(3,2),C(-1,-8) Find the area of Delt...

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  3. Consider the point A(-2,-3),B(3,2),C(-1,-8) Find third vertex of any...

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  4. If A=[(2,-3),(4,6)].Find adj A.

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  5. If A=[(2,-3),(4,6)]. Find A^-1.

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  6. Given Delta=|(y+z,x,y),(z+x,z,x),(x+y,y,z)| Apply R1rarrR1+R2+R3.

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  7. Given Delta=|(y+z,x,y),(z+x,z,x),(x+y,y,z)| Take (x+y+z) common from R...

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  8. Given Delta=|(y+z,x,y),(z+x,z,x),(x+y,y,z)| Perform C1rarrC1-2C3,C2rar...

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  9. Given Delta=|(y+z,x,y),(z+x,z,x),(x+y,y,z)| Prove that Delta=(x+y+z)(x...

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  10. Let A=[(-1,2,4),(1,1,3),(3,2,3)] Find |A|.

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  11. Let A=[(-1,2,4),(1,1,3),(3,2,3)] Find Adj A.

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  12. Let A=[(-1,2,4),(1,1,3),(3,2,3)] Verify that A. AdjA=|A|.I

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  13. Consider A=[(4,1),(5,3)]. Find A^-1 and A^T

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  14. Consider A=[(4,1),(5,3)]. Verify (A^T)^-1=(A^-1)^T.

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  15. Let A=[(1,4,0),(-1,2,2),(0,0,2)] Is A singular?

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

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

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

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

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

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