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Solve the following systems of homogenou...

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

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Solve the following systems of homogenous equations : {:(x+y - z = 0...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. If A is a skew symmetric matrix of order 3, then write the value of de...

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  16. Find the cofactor of (2,3)th entry in the matrix [(1,-2,0),(0,3,6),(5,...

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  17. Write the value of det (2I3)

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  18. If A and B are symmetric matrices of the same order, then

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  19. If det A = -3 and A is of order 2 xx 2 find the value of det (-6A)

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  20. Write the value of |(sin 10^@ - cos10^@),(sin 80^@ cos80^@)|

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