(4 Let A be the 2 x 2 matrix given below 1 4 A = 2 3 (a) Show that A is diagonalizable and find a matrix P such that P-1AP is diagonal. (b) Find an expression for A" for any integer n > 0. (c) Compute...

Linear algebra. Please answer part (c)

0. (c) Compute eA, the matrix exponential of A. "/>
Extracted text: (4 Let A be the 2 x 2 matrix given below 1 4 A = 2 3 (a) Show that A is diagonalizable and find a matrix P such that P-1AP is diagonal. (b) Find an expression for A" for any integer n > 0. (c) Compute eA, the matrix exponential of A.