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If w is an imaginary cube root of unit...

If `w` is an imaginary cube root of unity, find the value of `|[1,w, w^2],[ w ,w^2 ,1],[w^2 ,1,w]|` .

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RD SHARMA ENGLISH-DETERMINANTS-All Questions
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  2. Evaluate: |[4785, 4787],[ 4789, 4791]| .

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Find the value of determinant |[243 ,156 ,300],[ 81, 52, 100],[-3, 0...

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

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

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

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