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If I3 denotes identity matrix of orde...

If `I_3` denotes identity matrix of order `3xx3` , write the value of its determinant.

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RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. If A=[a(i j)] is a 3xx3 diagonal matrix such that a(11)=1 , a(22)=2...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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