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Evaluate the determinates abs([-costheta...

Evaluate the determinates `abs([-costheta,-sin theta],[sintheta,-costheta])`

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To evaluate the determinant of the matrix \[ \begin{bmatrix} -\cos \theta & -\sin \theta \\ \sin \theta & -\cos \theta \end{bmatrix}, \] ...
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MAHAVEER PUBLICATION-DETERMINANTS-QUESTION BANK
  1. Solve by cramer's rule : x+y+z=3 2x-y+3z=4 x+2y-z=2

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  2. Evaluate the determinates abs([2,3],[1,7])

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  3. Evaluate the determinates abs([-costheta,-sin theta],[sintheta,-costhe...

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  4. Evaluate the determinatesabs([3,-4,5],[1,1,-2],[2,3,1])

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  5. Evaluate the determinates abs([2,-1,-2],[0,2,-1],[3,-5,0])

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  6. Find the value of x is abs([3,x],[x,1])=abs([3,2],[4,1])

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  7. Find the value of x is abs([2,3],[4,5])=abs([x,3],[2x,5])

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  8. Using the property of determinants and without expanding prove that ab...

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  9. Using the property of determinants and without expanding, prove that:...

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  10. Using the property of determinants and without expanding, prove that:...

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  11. Using the property of determinants and without expanding prove that ab...

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  12. Using the property of determinants and without expanding, prove that:...

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  13. Using the property of determinants and without expanding prove that ab...

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  14. Find the minors and cofactors of the elements of the following determi...

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  15. Find the minors and cofactors of the elements of the following determi...

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  16. Find the minors and cofactors of the elements of the following determi...

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  17. Find the minors and cofactors of the elements of the following determi...

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  18. Solve the system of equations by cramer's rule: 5x-y+4z=5 , 2x+3y+5z=2...

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  19. Solve the system of equations by cramer's rule: 2x-3y+z=-1 ,3x+y-2z=1 ...

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  20. Solve the system of equations by cramer's rule: x+y+z=3 , 2x-y+3z=4 an...

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