If the linear system   ( x + 2 y + 4 z = 3 3 x +…

If the linear system   ( x + 2 y + 4 z = 3 3 x + 5 y + 2 = 4 − x − y + k z = 2 {“version”:”1.1″,”math”:” \left( \begin{array}{lll} x + 2y + 4z & = & 3 \\ 3x + 5y + 2 & = & 4 \\ -x – y + kz & = & 2 \\ \end{array} \right.”}has infinitely many solutions,  then which number  is the value of  k {“version”:”1.1″,”math”:”\(\, k\)”}? 

Find a particular solution of the non-homogeneous system of…

Find a particular solution of the non-homogeneous system of differential equations \[ X’ = \left[ \begin{array}{ll} 2 & 3 \\ 1 & 4 \end{array} \right]X   + \left[ \begin{array}{r} 3e^{2t} \\ 0 \end{array} \right]  + \left[ \begin{array}{r} 0 \\ 5 \end{array} \right]  \]