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Find the value of the determinant |2^...

Find the value of the determinant `|2^2 2^3 2^4 2^3 2^4 2^5 2^4 2^5 2^6|` .

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To find the value of the determinant \[ A = \begin{vmatrix} 2^2 & 2^3 & 2^4 \\ 2^3 & 2^4 & 2^5 \\ 2^4 & 2^5 & 2^6 \end{vmatrix} ...
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RD SHARMA-DETERMINANTS-Solved Examples And Exercises
  1. If the matrix [5x2-10 1] is singular, find the value of x .

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Evaluate: |cos15osin15osin75ocos75o| .

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  17. If A=[[5 ,3 ,8 ],[2 ,0 ,1 ],[1, 2, 3]] . Write the cofactor of the e...

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

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  19. If |[2x,x+3 ],[2(x+1),x+1]|=|[1, 5],[ 3 ,5]| , then write the value ...

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  20. If |[3x,7],[-2,4]|=|[8,7],[6,4]| , find the value of xdot

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