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If the matrix [[5x,2],[-10 ,1]] is singu...

If the matrix `[[5x,2],[-10 ,1]]` is singular, find the value of `x` .

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RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. Find the value of determinant |[243 ,156 ,300],[ 81, 52, 100],[-3, 0...

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

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  3. If the matrix [[5x,2],[-10 ,1]] is singular, find the value of x .

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

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  5. Find the value of the determinant |[2^2, 2^3 ,2^4],[ 2^3 ,2^4 ,2^5],...

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

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

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

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  9. Write the value of |[a+i b, c+i d],[-c+i d ,a-i b]| .

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

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

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

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

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

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  15. What is the value of the determinant |[0, 2, 0 ],[2, 3, 4 ],[4, 5 ,6...

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

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

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  18. Evaluate: |[cos15^@ sin15^@],[sin75^@cos75^@]| .

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

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

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