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Fill in the blanks : If cos 2 theta = ...

Fill in the blanks :
If `cos 2 theta = 0, then |(0, costheta, sintheta),(costheta, sintheta, 0),(sin theta, 0, costheta)|^2`=……….

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Evaluate |(2costheta,-2sintheta),(sintheta,costheta)|

(1+costheta+sintheta)/(1+costheta-sintheta)=(1+sintheta)/costheta .

If 3 cos theta-4sintheta=2costheta+sintheta find tantheta .

Prove that sintheta(cosectheta-sintheta)=cos^2theta .

Write the inverse of the matrix: {:[(costheta, sintheta),(-sintheta,costheta)]

Write the inverse of the matrix: {:[(costheta, -sintheta),(sintheta,costheta)]

Prove that (cosectheta+cottheta)(1-costheta)=sintheta .

Prove that (sintheta)/(1+costheta)+(1+costheta)/sintheta=2cosectheta .

The value of det [(cos theta, sintheta),(-sintheta, costheta)] is equal to

PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Let A = [[1,sintheta,1],[-sintheta,1,sintheta],[-1,-sintheta,1]], wher...

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  2. Fill in the blanks : If A = [(1,a,3),(2,b,6),(3,c,9)], then det A is...

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  3. Fill in the blanks : If cos 2 theta = 0, then |(0, costheta, sinthet...

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  4. Fill in the blanks : Determinant of a skew symmetric matrix of order...

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  5. Select the Correct Option If A is an invertible matrix of order 2, the...

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  6. Fill in the blanks : If A is an invertible square matrix, then (A)^-...

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  7. If A is matrix of order 3xx3, then (A^(2))^(-1)=…….

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  8. Fill in the blanks : The determinant of a diagonal matrix is equal t...

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  9. The sum of the products of elements of any row with the co-factors of ...

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  10. If A is matrix of order 3xx3, then |3A|=……….

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  11. Fill in the blanks : If A is a square matrix of order n then det (ad...

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  12. Fill in the blanks : The determinant of a triangular matrix is equal...

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  13. Find the area of the triangle whose vertices are (0,0),(a,0) and (0,b)

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  14. If A,B,C are the angles of a triangle, then Delta=|{:(sin^(2)A, cotA...

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  15. Fill in the blanks : If A is an invertible matrix of order nxxn (nge...

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  16. The sum of the products of elements of any row with the co-factors of ...

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  17. Fill in the blanks : If A is a matrix of order 3xx3, then the number...

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  18. Fill in the blanks : If f(x) = |(0,x-1,x-2),(x+1,0,x-3),(x+2,x+3,0)|...

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  19. If x=-9 is root of |{:(x,3,7),(2,x,2),(7,6,x):}|=0, then other two roo...

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  20. Fill in the blanks : If k is a non-zero real number and A is an inve...

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