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Find the value of the determinant `|101 102 103 104 105 106 107 108 109|`

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To find the value of the determinant \[ D = \begin{vmatrix} 101 & 102 & 103 & 104 & 105 & 106 & 107 & 108 & 109 \end{vmatrix} \] ...
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RD SHARMA-DETERMINANTS-Solved Examples And Exercises
  1. State whether the matrix [2 3 6 4] is singular or nonsingular.

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  2. Find the value of the determinant |4200 4201 4202 4203| .

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  3. Find the value of the determinant |101 102 103 104 105 106 107 108 ...

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  4. Write the value of the determinant |a1b+c b1c+a c1a+b| .

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  5. If A=[0i i1] and =[0 1 1 0] , find the value of |A|+|B| .

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  6. If A=[1 2 3-1] and B=[1 0-1 0] , find |A B| .

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  7. Evaluate: |4785, 4787 ,4789, 4791| .

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  8. If A=[1 2 3-1] and =[1-4 3-2] , find |A B| .

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  9. If A=[a(i j)] is a 3xx3 diagonal matrix such that a(11)=1 , a(22)=2...

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  10. If A=[a(i j)] is a 3xx3 scalar matrix such that a(11)=2 , then writ...

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  11. If I3 denotes identity matrix of order 3xx3 , write the value of ...

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  12. A matrix A of order 3 * 3 has determinant 5. What is the value of |3A|...

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  13. If A= (a(ij)) is a 4xx4 matrix and C(ij), is the co-factor of the ele...

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  14. Write the value of |sin20o-cos20osin70ocos70o| .

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  15. If A is a square matrix of order n and A A^T = I then find |A|

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  16. If A and B are square matrices of the same order such that |A|=3 an...

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  17. A is a skew-symmetric of order 3, write the value of |A| .

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  18. If A is a square matrix of order 3 with determinant 4, then write t...

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  19. If A is a square matrix such that |A|=2 , write the value of |AA^T|

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  20. Find the value of determinant |243 156 300 81 52 100-3 0 4| .

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