Question: i. . , 3 5 1 Consider the matrix A = ( 2 4 ) . (a) The matrix exponential em can be written as

i. . , 3 5 1 Consider the matrix A = ( 2 4 ) . (a) The matrix exponential em can be written as the power series 22:0 Mtlk. Calculate the partial sums SM = 2:10 [2:'l)k for M = 1,2, 3,4. Your answers should have at least one deeimal point of preeisien. (1]) Find a matrix T and a diagonal matrix L = (3 '3) such that A = TLT". (C) Use the formula 11'\" = TeM T" to calculate r35\". ([1) Use the MATLAB function (mam to calculate e\". How does it compare with your answers to part (a) and (e)? Does the series in part (a) seem to converge quickly or slowly

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