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Write the value of Delta = |(x+y, y +z ,...

Write the value of `Delta = |(x+y, y +z , z +x),(z, x,y),(-3,-3,-3)|`

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Find the cofactor of a12 in |(2,-3,5),(6,0,4),(1,5,-7)|

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  2. If |(x+1,x-1),(x-3,x+2)|=|(4,-1),(1,3)| find the value of x.

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  3. Write the value of Delta = |(x+y, y +z , z +x),(z, x,y),(-3,-3,-3)|

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  4. If A is a 3xx3 matrix and |3A | = k |A|, then write the value of k.

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  5. For what value of 'k', the system of linear equations : x+y+z=2,2x+y...

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  6. Evaluate the determinants in exercises 1 to 2. |(2,4),(-5,-1)|

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  7. Evaluate the determinants in exercises 1 to 2. |(cos theta, - sin th...

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  8. Evaluate the following determinants: {:|(x^2-x+1,x-1),(x+1,x+1)|

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  9. If A =[{:(1,2),(4,2):}], then show that | 2A| = 4|A|.

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  10. If A = [[1,0,1],[0,1,2],[0,0,4]] then show that |3A| = 27|A|

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  11. Evaluate the following determinants: {:|(3,-1,-2),(0,0,-1),(3,-5,0)|

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  12. Evaluate the determinant : |[3,-4,5],[1,1,-2],[2,3,1]|

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  13. Evaluate the determinant : |[0,1,2],[-1,0,-3],[-2,3,0]|

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  14. Evaluate the determinant Delta = abs{:(2,-1,-2),(0,2,-1),(3,-5,0):}.

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  15. If A = [{:(1,1,-2),(2,1,-3),(5,3,-9):}], find |A|.

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  16. Find values of x, if : |[2,4],[5,1]| = |[2x,4],[6,x]|

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  17. Find the value of x, if |{:(2,3),(4,5):}|=|{:(x,3),(2x,5):}|.

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  18. If |[x,2],[18,x]| = |[6,2],[18,6]|, then x is equal to:

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  19. Using the property of determinants and without expanding , prove that:...

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  20. Using the property of determinants and without expanding , prove that:...

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