(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.
(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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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