Purchase Solution

Steps on diagonalizing a given matrix

Not what you're looking for?

Ask Custom Question

1. Diagonalize the matrix A for
A=[-4 -1 ]
[5 2 ]

2. Suppose the y'=Ay for the given A. Find a solution for the system of ordinary differential equations with initial condition

y(0)=[0]
[2]

A=[-3 1]
[ 1 -3]

Purchase this Solution
Solution Summary

This solution gives detailed steps on how to diagonalize a given Matrix.

Solution Preview

(Please see the attached file for the complete solution)
If the matrix A is diagonalizable, then it can be written as D=P-1AP where A is ...

Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

View More Free Quizzes
Related BrainMass Solutions

  • Vector Spaces, Linear Transformations, and Eigenvalues / Eigenvectors, Basis and Diagonalizing Matrices

    52111 Vector Spaces, Linear Transformations, and Eigenvalues / Eigenvectors, Basis and Diagonalizing Matrices 1. Answer the following questions A. Is lambda = 2 an eigenvalue of the following matrix? Why or why not? 3 2 3 8 B.

  • Rotation matrices

    set: And the normalized eigenvector is: So the eigenvalue/eigenvector pairs of this matrix are: And the diagonalizing matrix of Ω is: Note that U is a unitary matrix: Let Ω be an n×n matrix with eigenvalues

  • Linear transformations, Matrix diagonalization and Orthogonal projections

    Thanks again Yinon The solution explains how to find the matrix representation of a linear transformation, how to find eigenvalues and eigenvectors, diagonalizing a matrix, Finding orthogonal basis and how to find orthogonal projection onto a vector

  • Linear Algebra : Diagonalizing Matrices

    Here we must consider some facts first and then get the answer step by step: The minimal polynomial of a matrix A is the unique basis for the ideal of polynomials such that the matrix A vanishes on them.

  • Changing basis in order to diagonalize a matrix

    A step-by-step solution is provided which illustrates how to change basis while diagonalizing a matrix. A 2x2 matrix is used as an example

  • How to find generalized eigenvectors

    the diagonalizing matrix is (we already know the eigenvector associated with eigenvalue ): (1.10) Its inverse is: (1.11)   And: (1.12) This is the Jordan canonical representation of A (the eigenvalues are in the diagonal and the off-diagonal

  • System of non-homogenous first order differential equations

    are: (1.5) The diagonalizing matrix is: We know that So we can rewrite the system of equations as: Since D is a diagonal matrix, we get a set of decoupled equations: Which are easily solved: Therefore, the general solution

  • Diagonalizing matrices

    (a) M= (b) N= Hello Please find the solution in the attached file. This provides an example of diagonalizing matrices.

  • Dodecahedron problem irreducible

    49571 Dodecahedron problem irreducible Consider the action of the group A_5 on the faces of a dodecahedron.

  • Matrix operations

    See attached document. 1) Finding the size of each matrix, finding the values of any variables, and identifying any square, row, or column matrices. 2 8 = a b 10 r c 18 2) Given the matrices A = 4 10 B = 2 3 -2

View More Related Solutions