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If A and B are square matrices of order 3,|A| = 5 and |B| = 3, then |3 AB| = `27xx5xx3 = 405`

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. True or False : If A any matrix of order nxxn (nge2), then adj (Adj ...

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  2. |A^(-1)| ne |A|^(-1) , where A is non-singular matrix.

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  3. True or False : If A and B are square matrices of order 3,|A| = 5 an...

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  4. True or False : Determinant of a diagonal matrix is equal to the sum...

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  5. True or False : If A and B are square matrices of the same order, th...

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  6. True or False : If A and B are square matrices of the same order the...

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  7. True or False : If A and B are square marices of the same order, the...

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  8. True or False : If A is any square matrix, then det (A^n) = (detA)^...

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  9. True or False : If A and B are square matrices of the same order, th...

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  10. If the determiant |{:(x+a,p+u,l+f),(y+b,q+v,m+g),(z+c,r+w,n+h):}| spli...

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  11. True or False : Let A be a square matrix of order nge2 and B be the ...

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  12. True or False : The determinant of an identity matrix is always 1.

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  13. True or False : If A is a square matrix of order 1xx1 then adj A = O

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  14. Determinant of the 1xx1 matrix [-3] is

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  15. Determinant of the matrix A = [1,3,-5] is

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  16. The value of det [(cos theta, sintheta),(-sintheta, costheta)] is equa...

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  17. If A and B are invertible matrices of the same order, then (AB)^-1 is ...

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  18. A square matrix A invertible iff det A is equal to

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  19. If A is any of square matrix of order n, then A (adj A) is equal to

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  20. Prove that |(1,x,x^2),(1,y,y^2),(1,z,z^2)| = (x-y)(y-z)(z-x)

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