In 2326, a nonhomogeneous linear system X AX F is given. (a) In each case determine the
Chapter 11, Problem 23(choose chapter or problem)
In Problems 23-26, a nonhomogeneous linear system \(\mathbf{X}^{\prime}=\mathbf{A X}+\mathbf{F}\) is given.
(a) In each case determine the unique critical point \(\mathbf{X}_{1}\).
(b) Use a numerical solver to determine the nature of the critical point in part (a).
(c) Investigate the relationship between \(\mathbf{X}_{1}\) and the critical point (0, 0) of the homogeneous linear system \(\mathbf{X}^{\prime}=\mathbf{A X}\).
\(x^{\prime}=2 x+3 y-6\)
\(y^{\prime}=-x-2 y+5\)
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