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If the co-factor and minor of each element of a 2nd order determinant are same, then what is the value of the element in the 2nd row and 1st column of the determinant ?

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IF the coafactor and minor of each element of a second order determinant are same, then what is the value of the element is the second row and first column of determinant.

If all the elements on the two diagonals of a third order determinant are zero, then what is the value of the determinant.

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USHA PUBLICATION-MATRICES DETERMINANTS PROBABILITY -EXERCISE
  1. Write the value of the following determinant: abs([0,0,3],[0,3,0],[3,0...

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  2. If every element of a third order determinant having value 8 is divide...

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  3. If the co-factor and minor of each element of a 2nd order determinant ...

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  4. If each element of a determinant of 3rd order is multiplied by k, then...

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  5. Find the value of abs([cos^2alpha, sin^2alpha+1,1],[cos^2beta,sin^2bet...

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  6. If |[x,1,1],[1,x,1],[1,1,x]|=0, then find the value (s) of x.

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  7. Write the relation between x and y if the points (a, 0), (0, b) and (x...

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  8. Answer the following: What is the value of x if [[x+1,1,1],[1,1,-...

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  9. Find x and y if abs([x,y],[1,1]|=2.|[x,3],[y,2])=1.

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  10. Answer the following: What is the value of x if [[4,1],[2,1]]^2=[[...

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  11. Find x,y if[[3,2],[7,x]][[5,-2],[-7,y]]=[[1,0],[0,1]].

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  12. Rectify the mistake : Matrix multiplication is commutative and associa...

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  13. If A=[x y z], B=[[x],[y],[z]], find AB and its order.

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  14. If matrix A is of order 3xx4 and matrix B is of order 4xx3, what is th...

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  15. If Ais a square matrix and absA=10, then find abs(A^-1).

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  16. If A=[[1,2],[3,-5]], find abs(adjA)absA.

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  17. If A is a square matrix given by [[1,2],[3,4]], find adj (adj A).

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  18. What is the value of abs([sin^2theta,cos^2theta,1],[cos^2theta,sin^2th...

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  19. If A is a 2xx2 non-singular matrix and absA=1/2 then which matrix is r...

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  20. What is the order of the matrix B if[" 3"" 4"" 2 ""] B =[ 2 "" 1"" 0""...

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