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(Solved): 1. Determine all the values of \( h \) and \( \lambda \) for which the following system of linear e ...




1. Determine all the values of \( h \) and \( \lambda \) for which the following system of linear equations has
(a) no soluti
1. Determine all the values of \( h \) and \( \lambda \) for which the following system of linear equations has (a) no solutions. (b) one solution. (c) infinitely many solutions \[ \begin{array}{c} -4 x-6 y-5 z=-7 \\ 7 x+8 y+2 z=9 \\ 26 x+34 y+h z=k \end{array} \]


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The augmented matrix of the system of the equations is [A?b]=[?4?6?5??7782?9263h?k] Perform the row operations to reduce the matrix to echelon form R2
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