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For what values of aa n db , the system ...

For what values of `aa n db ,` the system of equations `2x+a y+6z=8` `x+2y+b z=5` `x+y+3z=4` has: (i) a unique solution (ii) infinitely many solutions no solution

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To solve the problem, we need to analyze the system of equations given: 1. \(2x + ay + 6z = 8\) (Equation 1) 2. \(x + 2y + bz = 5\) (Equation 2) 3. \(x + y + 3z = 4\) (Equation 3) We will use determinants to find the conditions for unique solutions, infinitely many solutions, and no solutions. ...
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RD SHARMA-DETERMINANTS-Solved Examples And Exercises
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  2. Solve the following system of homogeneous equations: x+y-z=0 x-2y+...

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  3. For what values of aa n db , the system of equations 2x+a y+6z=8 x+2y...

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  5. Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sin...

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  6. If [] denotes the greatest integer less than or equal to the real numb...

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  13. Determine the values of x for which the matrix A=[x+1-3 4-5x+2 2 4 1x-...

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  14. The value of the determinant |xx+y x+2y x+2y xx+y x+y x+2y x|i s 9x^2...

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  16. A triangle has its three sides equal to a , b and c . If the coordin...

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  19. Prove the identities: |[a, b-c,c-b],[ a-c, b, c-a],[ a-b,b-a, c]| =(...

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  20. Prove the identities: |[b^2+c^2,ab, ac],[ba,c^2+a^2,bc],[ca, cb ,a^2+...

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