Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN: 9781285463247
Author: David Poole
Publisher: Cengage Learning
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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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Hint: use the Euler identity ecos +isin 6 2. Let T0 0 1 -3 2 0 eigenvector. For the complex conjugate eigenvalues, construct a complex eigen- (a) Find the eigenvalues for the matrix A. For the real eigenvalue, compute a real vector. Ax, and (b) Use (a) to compute a real fundamental matrix Φ(t) for the systern r, use Φ(t) to calculate the solution of this system that satisfies the initial condition
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Transcribed Image Text:Hint: use the Euler identity ecos +isin 6 2. Let T0 0 1 -3 2 0 eigenvector. For the complex conjugate eigenvalues, construct a complex eigen- (a) Find the eigenvalues for the matrix A. For the real eigenvalue, compute a real vector. Ax, and (b) Use (a) to compute a real fundamental matrix Φ(t) for the systern r, use Φ(t) to calculate the solution of this system that satisfies the initial condition
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