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Evaluate the following : [[sin^2theta,co...

Evaluate the following : `[[sin^2theta,cos^2theta,1],[cos^2theta,sin^2theta,1],[-10,12,2]]`

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ARIHANT PUBLICATION-DETERMINANTS -PART -1 QUESTION FOR PRACTICE
  1. Write the value of k, if |{:(aa1,aa2,aa3),(ab1,ab2,ab3),(ac1,ac2,ac3...

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  2. If omega is a complex cube root of 1,then for what value of. lamda the...

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  3. Evaluate the following : [[sin^2theta,cos^2theta,1],[cos^2theta,sin^2t...

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  4. IF omega and omega^2 are the complex cube roots of unity, write the va...

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  5. What is the value of |[i^(103), 3 ,i^(101)],[i^(56), 5, i^(54)],[i^(23...

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

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  7. What is the value of |[i^(103), 3 ,i^(101)],[i^(56), 5, i^(54)],[i^(23...

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  8. Evaluate |{:(sec theta,-tan theta),(-tan theta, sec theta):}|

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  9. Evaulate |{:(cos15^@,sin 15^@),(sin75^@,cos 75^@):}|

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  10. Evaluate |{:(log3 512,log4 3),(log3 8, log4 9):}|

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  11. If |{:(2x,5),(8,x):}|=|{:(6,-2),(7,3):}| then find the value of x.

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  12. IF |{:(2x,x+3),(2(x+1),x+1):}|=|{:(1,3),(-1,1):}| then find the value ...

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  13. IF A=[(2,3),(3,-1):}]and B=[(1,3),(-1,1):}] then write the value of |...

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  14. IF there are two values of a which makes determinant Delta=|{:(1,-2,5)...

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  15. Evaluate |{:(cosa cos beta, cos a sin beta, -sin a),(-sin beta, cos be...

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  16. Let A be a square matrix of order 3 times 3 Write the value of |2A| wh...

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  17. IF A is 3 times 3 matrix |A| ne 0 and |3A|=k|A| then find the value of...

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  18. Without expanding,show that the following determinant vanishes. abs ((...

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  19. Write the value of Delta=|{:(x+y,y+z,z+x),(z,x,y),(-3,-3,-3):}|

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  20. Show that |{:(a,b,c),(a+2x,b+2y,c+2z),(x,y,z):}|=0

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