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Liyana Mansell

Answered 2021-08-15
Author has **16630** answers

asked 2021-09-23

The coefficient matrix for a system of linear differential equations of the form y′=Ay has the given eigenvalues and eigenspace bases. Find the general solution for the system.

\(\displaystyleλ{1}=-{1}\to{\left\lbrace\begin{array}{cc} {1}&{1}\end{array}\right\rbrace},λ{2}={2}\to{\left\lbrace\begin{array}{cc} {1}&-{1}\end{array}\right\rbrace}\)

\(\displaystyleλ{1}=-{1}\to{\left\lbrace\begin{array}{cc} {1}&{1}\end{array}\right\rbrace},λ{2}={2}\to{\left\lbrace\begin{array}{cc} {1}&-{1}\end{array}\right\rbrace}\)

asked 2021-09-21

Form (a) the coefficient matrix and (b) the augmented matrix for the system of linear equations.
7 x-5 y=11
x-y=-5

asked 2021-09-20

The coefficient matrix for a system of linear differential equations of the form y′=Ay has the given eigenvalues and eigenspace bases. Find the general solution for the system.

\(\displaystyleλ{1}={1}\to{\left\lbrace\begin{array}{cc} {2}&{1}\end{array}\right\rbrace},λ{2}={3}\to{\left\lbrace\begin{array}{cc} {3}&{1}\end{array}\right\rbrace}\)

\(\displaystyleλ{1}={1}\to{\left\lbrace\begin{array}{cc} {2}&{1}\end{array}\right\rbrace},λ{2}={3}\to{\left\lbrace\begin{array}{cc} {3}&{1}\end{array}\right\rbrace}\)

asked 2021-09-14

\(\lambda_1=2\Rightarrow\left\{\begin{bmatrix}4 \\3 \\1 \end{bmatrix}\right\},\lambda_2=-2\Rightarrow\left\{\begin{bmatrix}1 \\2 \\0 \end{bmatrix},\begin{bmatrix}2 \\3 \\1 \end{bmatrix}\right\}\)

asked 2021-08-09

The coefficient matrix for a system of linear differential equations of the form \(\displaystyle{y}^{{1}}={A}_{{y}}\) has the given eigenvalues and eigenspace bases. Find the general solution for the system.

asked 2021-09-24

Each of the matrices is the final matrix form for a system of two linear equations in the variables x1 and x2. Write the solution of the system.

\(\begin{bmatrix}1&0&|&3\\0&1&|&-5 \end{bmatrix}\)