Mathematics, 30.07.2020 01:01 Samanthas6365

A particle moving in a planar force field has a position vector x that satisfies Bold x prime equals Upper A Bold x. The 2times2 matrix A has eigenvalues 7 and 4, with corresponding eigenvectors Bold v 1equals[Start 2 By 1 Matrix 1st Row 1st Column negative 2 2nd Row 1st Column 1 EndMatrix ]and Bold v 2equals[Start 2 By 1 Matrix 1st Row 1st Column negative 8 2nd Row 1st Column 1 EndMatrix ]. Find the position of the particle at time t assuming that Bold x (0 )equals[Start 2 By 1 Matrix 1st Row 1st Column 7 2nd Row 1st Column 1 EndMatrix ].

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