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Consider the system of equations in x, y...

Consider the system of equations in x, y, z as `x sin 3 theta-y + z=0, x cos 2 theta+ 4y + 3z= 0`, 2x + 7y + 7z = 0. If this system has a non-trival solution, then for integer n, values of `theta` are given by :

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Consider the system of equations in x, y, z as x sin 3 theta-y + z=0, ...

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  2. If A = [(13,-10),(7,87)], write the following submatrices of A. A12

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  3. If A = [(13,-10),(7,87)], write the following submatrices of A. A22

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  4. If A = [(a,h,g),(h,b,f),(g,f,c)], find the submatrix of A obtained by ...

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  5. If A = [(a,h,g),(h,b,f),(g,f,c)], find the submatrix of A obtained by ...

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  6. If A = [(a,h,g),(h,b,f),(g,f,c)], find the submatrix of A obtained by ...

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  7. If A = [(a,h,g),(h,b,f),(g,f,c)], find the submatrix of A obtained by ...

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  8. Find the minors and cofactos of each entry of the first column of the ...

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  9. Find the minors and cofactos of each entry of the first column of the ...

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  10. Find the minors and cofactos of each entry of the first column of the ...

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  11. Find the minors and cofactos of each entry of the first column of the ...

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  12. Evaluate the following determinants: {:|(-2,3),(4,-9)|

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  13. Evalate the following determinants: |(1//2, 8),(4,2)|

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  14. Evaluate the following determinants: |(a+ib , - c + id),(c+id, a-ib)...

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  15. Evaluate the following determinants: |(3x, x-7),(x+1,5x+1)|

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  16. Show that |(sin10^@, - cos10^@),(sin80^@, cos80^@)| = 1

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  17. Show that {:|(cos15^@, sin15^@),(sin75^@, cos75^@)|:}= 0

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  18. Evaluate |(x,x+1),(x-1,x)|

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  19. Evaluate the following determinants: |(1,0,0),(0,1,0),(0,0,1)|

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  20. Evaluate the following determinants: |(1,-3,3),(4,-1,3),(3,5,3)|

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  21. Evaluate the following determinants: |(1,0,2),(0,2,1),(2,0,3)|

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