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For what values of k, the system of equa...

For what values of k, the system of equations `kx+y+z=1,x+ky+z=1,x+y+kz=1` have (i) unique solution (ii) more than one solution, (iii) no solution.

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FULL MARKS-APPLICATIONS OF MATRICES AND DETERMINANTS-ADDITIONAL QUESTIONS SOLVED
  1. Show that the equations: x+y+z=6,x+2y+3z=14,x+4y+7z=30 are consistent ...

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  2. Discuss the solutions of the system of equations for all values of lam...

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  3. For what values of k, the system of equations kx+y+z=1,x+ky+z=1,x+y+kz...

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  4. Solve the following homogeneous linear equations. x+2y-5z=0,3x+4y+6z...

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  5. For what value of mu the equations. x+y+3z=0,4x+3y+muz=0,2x+y+2z=0 h...

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  6. A=[a(ij)](mxxn) is a square matrix if …………

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  7. Matrices A and B will be inverse of each only if ……………

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  8. If A is an invertible matrix of order 2 thaen det (A)^(-1) is equal to

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  9. Given A=({:(1,-2),(-5,7):}) then A (adj A) =…………..

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  10. The inverse of ({:(2,1),(4,2):}) is ……………

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  11. Given rho(A,B)nerho(A)lt number of unknowns, then the system has. …………...

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  12. Given rho(A,B)nerho(A)lt number of unknowns, then the system has. …………...

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  13. Given rho(A,B)nerho(A)lt number of unknowns, then the system has. …………...

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  14. The rank of the matrix [{:(1,2,3),(2,4,6),(3,6,9):}] is ……………….

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  15. If the rank of the matrix ({:(1,0,-1),(2,5,lamda),(3,6,9):}) is 3, the...

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  16. If A = [2 0 1] then the rank of "AA"^(T) is …………..

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  17. If the rank of the matrix [(lambda,-1,0),(0, lambda,-1),(-1,0,lambda)]...

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  18. If A is a scalar matrix with scalar kne0, of order 3, then A^(-1) is …...

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  19. If A=[{:(2,1),(3,4):}], then (adjA)A………..

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  20. If A is a square matrix of order n, then |adj A|=

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