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For what value of x , the matrix [[5-x,x...

For what value of `x ,` the matrix `[[5-x,x+1] ,[2, 4]]` is singular?

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RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. If a , b , c are non-zero real numbers and if the system of equations ...

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  2. If A is a singular matrix, then write the value of |A| .

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  3. For what value of x , the matrix [[5-x,x+1] ,[2, 4]] is singular?

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

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  5. State whether the matrix [[2,3 ],[6, 4]] is singular or nonsingula...

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  6. Find the value of the determinant |[4200 ,4201], [4202, 4203]| .

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  7. Find the value of the determinant |[101 ,102 ,103],[ 104 ,105 ,106],...

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  8. Write the value of the determinant |[a,1,b+c], [b,1,c+a] ,[c,1,a+b]|...

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

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

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  11. Evaluate: |[4785, 4787],[ 4789, 4791]| .

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  12. If w is an imaginary cube root of unity, find the value of |[1,w, w^...

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

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

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

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

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  17. A matrix A of order 3X3 has determinant 5. What is the value of |3A|?

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  18. On expanding by first row, the value of the determinant of 3xx3 squ...

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

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  20. Write the value of |[sin20^@-cos20^@ ],[sin70^@ cos70^@]| .

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