need help with ODE question and fundemental matrix 1) Let[211 --11A =10 07]Find the fundamental matrix for y'(t) = Ay(t).

Answered: 1) Let [2 1 1 -7] -1 1 A 3 1 0 0 7]…

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1) Let [2 1 1 -7] -1 1 A 3 1 0 0 7] Find the fundamental matrix for y'(t) = Ay(t).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

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need help with ODE question and fundemental matrix

1) Let
[2
1
1 -
-1
1
A =
1
0 0
7]
Find the fundamental matrix for y'(t) = Ay(t).

Expert Solution

Step 1

Given

$A = [\begin{matrix} 2 & 1 & 1 & - 7 \\ 0 & - 1 & 0 & 1 \\ 0 & 0 & 3 & 1 \\ 0 & 0 & 0 & 7 \end{matrix}]$

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