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Write the cofactor of a(12) in the matri...

Write the cofactor of `a_(12)` in the matrix `[[2,-3, 5],[ 6, 0, 4],[ 4, 5,-7]]`

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RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. If A and B are square matrices of order 3 such that |A|=-1 , |B|=3 ...

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  2. Write the value of |[a+i b, c+i d],[-c+i d ,a-i b]| .

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  3. Write the cofactor of a(12) in the matrix [[2,-3, 5],[ 6, 0, 4],[ 4, 5...

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  4. If |[2x+5 ,3],[ 5x+2, 9]|=0 , find xdot

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  5. Find the value of x from the following: |[x,4],[ 2 ,2x]|=0

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  6. Write the value of the determinant |[2, 3, 4],[ 5, 6 ,8],[ 6x,9x, 12...

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  7. If |A|=2 , where A is 2xx2 matrix, find |a d j\ A| .

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  8. What is the value of the determinant |[0, 2, 0 ],[2, 3, 4 ],[4, 5 ,6...

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  9. For what value of x is the matrix [[6-x,4],[ 3-x,1]] singular?

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  10. A matrix A of order 3xx3 is such that |A|=4 . Find the value of |2A| .

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  11. Evaluate: |[cos15^@ sin15^@],[sin75^@cos75^@]| .

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  12. If A=[[5, 3, 8],[ 2, 0, 1], [1 ,2 ,3]] . Write the cofactor of the e...

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  13. If |(x+1,x-1),(x-3,x+2)|=|(4,-1),(1,3)|, then write the value of x .

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  14. If |[2x,x+3],[ 2(x+1),x+1]|=|[1, 5],[ 3 ,5]| , then write the value ...

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  15. If |[3x, 7], [-2 , 4]|=|[8, 7], [6, 4]| , find the value of xdot

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  16. If |[2x,5], [8,x]|=|[6,-2], [7, 3]| , write the value of xdot

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  17. If A is square matrix of order 3 matrix, |A| != 0 and |3A|=k|A| , then...

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  18. Write the value of the determinant |[p ,p+1],[p-1,p]| .

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  19. Write the value of |(x+y,y+z,z+x),(z,x,y),(-3,-3,-3)|

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  20. If A=[[costheta,sintheta],[-sintheta,costheta]] , then for any natural...

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