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Find the value of lambda for which the g...

Find the value of `lambda` for which the given system of equations:
`lambdax+y+z=0,-x+lambday+z=0,-x-y+lambdaz=0` will have a non-zero solution.

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MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. Find a quadratic function defined by the equation: f(x) = ax^2 + bx + ...

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  2. Find a quadratic function defined by the equation: f(x) = ax^2 + bx + ...

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  3. Find the value of lambda for which the given system of equations: la...

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  4. Solve the following systems of equations by Cramer's Rule: 2x+3y + 4...

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  5. Solve the following systems of equations by Cramer's Rule: x+y+z=-1,...

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  6. Solve the following systems of equations by Cramer's Rule: 3x-4y + 5...

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  7. Solve the following systems of equations by Cramer's Rule: (b+c) (y+...

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  8. Classify the following system of equations as consistent or inconsist...

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  9. Classify the following system of equations as consistent or inconsist...

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  10. Classify the following system of equations as consistent or inconsist...

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  11. Solve the following system of homogenous linear equations: 2x+3y+4z=...

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  12. Solve the following system of homogenous linear equations: x+y-z=0,x...

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

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  14. Find the cost of sugar and wheat per kg., if the cost of 7kg. Of sugar...

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  15. Find the cost of sugar and wheat per kg., if the cost of 7kg. Of sugar...

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  16. A square matrix A has inverse if and only if A is …………….. (Fill in the...

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  17. If A is a square matrix order 3 such that |adjA|=225, find |A'|.

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  18. For what value of 'x', is the following matrix singular? {:[(3-2x,x+...

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  19. For what value of x is the matrix [(5-x,x+1),(2,4)] singular ?

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  20. For what value of 'x', the matrix {:[(2-x,3),(-5,1)] is not invertible...

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