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Find the value of lambda for whih the ho...

Find the value of `lambda` for whih the homogenous system of equations: 2x+3y - 2z = 0,2x-y+3z=9,7x+`lambda`y-z=0 has non-trivial solution.

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MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. Solve the following system of homogenous linear equations: 2x+3y+4z=...

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

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

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

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

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

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

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

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

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

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  11. Find the adjoint of the following matrices: {:[(a,b),(c,d)]

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  12. Find the adjoint of the following matrices: {:[(1,2),(3,4)]

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  13. Find the adjoint of matrix [(2,3),(1,4)]

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  14. Find the adjoint of the following matrices: {:[(1,-1,2),(2,3,5),(-2,...

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  15. If A = {:((3,1),(2,-3)), then find |adj.A|

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  16. If A is a square matrix of order 3 swuch that |A|=5, find |A.adj.A|.

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  17. Write the inverse of the matrix: {:[(costheta, sintheta),(-sintheta,...

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  18. Write the inverse of the matrix: {:[(costheta, -sintheta),(sintheta,...

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  19. Verify A(adj A) = (adj A).A = |A|.I :[[2,3],[-4,-6]]

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  20. Verify A(adj A) = (adj A).A = |A|.I : [[1,-1,2],[3,0,-2],[1,0,3]]

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