👤

Suppose that you were trying to use the Putzer method to exponentiate the matrix A which has eigenvalues dı = 4 and A2 = 6, in that order. ao(t) is always the function et. Choose the correct equation for a1(t) da1О (а) 6a1 + e4t a1(0) = 1 O (b) dt da1 : 4a1 + e4t P (g) da1 a1(0) = 1 O (c) dt -4a1 + ett a1(0) = 0 da1 O (d) dt 4a1 + et a1(0) = 0 da1 O (e) : 6a1 + e4t a1(0) = 0 dt da1 O (f) dt — 4а, + e# a,(0) — 1

Answer :

In that order. ao(t) is always the function is [tex]$m_1=A-2 I $[/tex].

What is function ?

A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.

The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.

given: [tex]$\quad d_1=4 \quad$[/tex] and [tex]$A_2=6$[/tex]

[tex]$m_0=\Sigma=\left[\begin{array}{cc}1 & 0 \\0 & 1\end{array}\right]$[/tex]

By putzes method

[tex]$\text { matrix } m_1=A-N_1 p_0=A-d_1 m_0$[/tex]

here [tex]$r_1=2, m_0=I$[/tex]

[tex]$m_1=A-2 I $[/tex]

To learn more about function  visit:https://brainly.com/question/21145944

#SPJ4