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Solve the following systems of homogenou...

Solve the following systems of homogenous equations:
`{:(x cos theta - y sin theta = 0),(x sin theta + y cos theta = 0):}`

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Two factories decided to award their employees for three values of (a)...

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  2. Solve the following systems of homogenous equations: {:(9x - 5y= 0),...

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  3. Solve the following systems of homogenous equations: {:(x cos theta ...

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  4. Solve the following systems of homogenous equations: {:(x + 2y = 0),...

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  5. Solve the following systems of homogeneous linear equations: {:(x-3y...

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  6. Solve the following systems of homogenous equations: {:(6x - 7 y + 8...

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  7. Solve the following systems of homogenous equations : {:(x+y - z = 0...

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  8. Solve the following systems of homogenous equations: {:(x+y +z = 0),...

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  9. Solve the following systems of homogenous equations: {:(3x+y-2z=0),(...

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  10. Solve the following systems of homogenous equations: {:(2x - 3y - z ...

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  11. Find the value of lambda for whih the homogenous system of equations: ...

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  12. The values of k in R for which the system of equations x+ky+3z=0 ...

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  13. Determine k so that the system of equations x + 2y + kz = 0,3x + 5y - ...

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  14. Find |(1+i, 1-i),(1-i, 1+i)|

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  15. Evaluate det[(a+ib, c +id),(-c+id, a-ib)]

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  16. Evaluate |(a1, 0,0),(0,a2,0),(0,0,a3)|

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  17. Evaluate |(-1, 0,0),(2,3,0),(-6,-4,5)|

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  18. Evaluate |(2,-3,4),(0,-7,0),(0,0,i)|

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  19. Evaluate |(1,2,2^2),(1,3,3^2),(1,4,4^2)|

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  20. Find x if |(2x, ,5),(8,x)| = |(6,-2),(7,3)|

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