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

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

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RD SHARMA ENGLISH-DETERMINANTS-All Questions
  1. For what value of x is the matrix [[6-x,4],[ 3-x,1]] singular?

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

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

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

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

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

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

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

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

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

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

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

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  13. The maximum value of |(1,1,1),(1,1+sintheta,1),(1,1,1+costheta)| is

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  14. If x in N and |[x+3,-2],[-3x,2x]|=8, then find the value of xdot

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  15. If |[x,sintheta,costheta],[-sintheta,-x,1],[costheta,1,x]|=8 , write t...

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  16. If A and B are square matrices of order 2, then det(A+B)=0 is possib...

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  17. Which of the following is not correct? (a)|A|=|A^T| , where A=[a(i j...

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  18. If Delta=|[a(11),a(12),a(13)],[a(21),a(22),a(23)],[a(31),a(32),a(33)]|...

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  19. Which of the following is not correct in a given determinant of A , wh...

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  20. Let |[x,2,x],[x^2,x,6],[x,x,6]|=a x^4+b x^3+c x^2+dx+edot Then, the va...

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