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

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

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To find the determinant of the product of two matrices \( A \) and \( B \), we can use the property that states: \[ |AB| = |A| \cdot |B| \] Given the matrices: ...
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RD SHARMA-DETERMINANTS-Solved Examples And Exercises
  1. If A=[1 2 3-1] and B=[1 0-1 0] , find |A B| .

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  2. Evaluate: |4785, 4787 ,4789, 4791| .

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

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

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

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

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  7. A matrix A of order 3 * 3 has determinant 5. What is the value of |3A|...

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

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  9. Write the value of |sin20o-cos20osin70ocos70o| .

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

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

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

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

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  14. If A is a square matrix such that |A|=2 , write the value of |AA^T|

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  15. Find the value of determinant |243 156 300 81 52 100-3 0 4| .

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

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  17. If the matrix [5x2-10 1] is singular, find the value of x .

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

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

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