(f) If u is a generalized eigenvector for A satisfying (A-I)"=0, show that tu=t" u + ln(e)(4 1])u +...+ In(t)-1 (m-1)! (A- 1)] (g) Use (f) to describe a general solution to (2) when A is the matrix [100] A= 1 3 0 0 1 1 (h) Part (e) says that t4 is a fundamental matrix for (2). Show that if X(t) is any fundamental matrix for (2), then t^ = X(t)X(1)-1 (f) If u is a generalized eigenvector for A satisfying (A-I)"=0, show that tu=t" u + ln(e)(4 1])u +...+ In(t)-1 (m-1)! (A- 1)] (g) Use (f) to describe a general solution to (2) when A is the matrix [100] A= 1 3 0 0 1 1 (h) Part (e) says that t4 is a fundamental matrix for (2). Show that if X(t) is any fundamental matrix for (2), then t^ = X(t)X(1)-1