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If a,b,c are in A.P, find value of |[...

If a,b,c are in A.P, find value of `|[2y+4,5y+7,8y+a],[3y+5,6y+8,9y+b],[4y+6,7y+9,10y+c]|`

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BODY BOOKS PUBLICATION-DETERMINANTS-EXERCISE
  1. If |[x,2],[18,x]| = |[6,2],[18,6]|, then x =

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  2. Without expanding the determinant prove the following. |[a-b,b-c,c-a...

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  3. If a,b,c are in A.P, find value of |[2y+4,5y+7,8y+a],[3y+5,6y+8,9y+...

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  4. Find the value of k if the area of a triangle with vertices (k,4),(2,-...

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  5. If [[2,5],[-3,7]]xxA=[[17,-1],[47,-13]] then Find the 2x2 matrix A.

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  6. If [[2,5],[-3,7]]xxA=[[17,-1],[47,-13]] then Find A^2.

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  7. Using properties of determinants show that abs[[1+a,1,1],[1,1+b,1]...

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

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

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

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

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

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

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

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

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

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

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

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