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Find the value of determinant |243 15...

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

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To find the value of the determinant \[ D = \begin{vmatrix} 243 & 156 & 300 \\ 81 & 52 & 100 \\ -3 & 0 & 4 \end{vmatrix} ...
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RD SHARMA-DETERMINANTS-Solved Examples And Exercises
  1. If A is a square matrix of order 3 with determinant 4, then write t...

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

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

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  4. Write the value of the determinant |2-3 5 4-6 10 6-9 15| .

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  5. If the matrix [5x2-10 1] is singular, find the value of x .

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  6. If A is a square matrix of order nxxn such that |A|=lambda , then w...

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  7. Find the value of the determinant |2^2 2^3 2^4 2^3 2^4 2^5 2^4 2^5 ...

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  8. If A and B are non-singular matrices of the same order, write wheth...

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  9. A matrix of order 3xx3 has determinant 2. What is the value of |A(3...

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  10. If A and B are square matrices of order 3 such that |A|=-1 , |B|=3 ...

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  11. Write the value of |a+i b c+i d-c+i d a-i b| .

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  12. Write the cofactor of a(12) in the matrix [2-3 5 6 0 4 1 5-7]

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  13. If |[2x+5, 3], [5x+2, 9]|=0 , find xdot

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  14. Find the value of x from the following: |[x,4], [2, 2x]|=0

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  15. Write the value of the determinant |A|=|[2,3,4],[5,6,8],[6x,9x,12x]|

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  16. If |A|=2 , where A is 2xx2 matrix, find |a d j\ A| .

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  17. What is the value of the determinant |[0, 2, 0],[ 2, 3, 4],[ 4 ,5 ,...

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  18. For what value of x is the matrix[[6-x,4 ],[3-x,1]] singular?

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  19. A matrix A of order 3xx3 is such that |A|=4 . Find the value of |2A| .

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  20. Evaluate: |cos15osin15osin75ocos75o| .

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