Purchase Solution

Linear Algebra and Matrices: Least-Squares Solution and Normalized Error

Not what you're looking for?

Ask Custom Question

Find the least squars solution of Ax=b, retaining five places to the right of the decimal point. Finally, verify that your least squares solution satisfies the least-squares problem and calculate the normalized error e=E/ lbl.

A: ( 0 8 -1 )
( 1 2 0 )
( 0 0 3 )
( 0 4 5 )

(represents a single matrix)

b={1 2 3 4}T
---

Attachments
Purchase this Solution
Solution Summary

Least-Squares Solution and Normalized Error are investigated. The solution is detailed and well presented.

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

Find the least squars solution of Ax=b, retaining five places to the right of the decimal point. Finally, verify that your least squares solution satisfies the least-squares problem and calculate the normalized error e=E/ lbl.

A: ( 0 8 -1 )
( 1 2 0 )
( 0 0 3 )
( 0 4 5 )

(represents a single matrix)

b={1 2 3 4}T

Solution: Solve A^T A x= A^T b after ...

Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Exponential Expressions

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

Graphs and Functions

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

Probability Quiz

Some questions on probability

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.

View More Free Quizzes
Related BrainMass Solutions

  • Least-squares fitting of a matrix to a curve.

    The Least-squares fitting of a matrix to a curve is investigated. The solution is detailed and well presented.

  • Calculating the values of Spin Angular Momentum

    ) The matrix elements of are: Therefore: (1.7) The matrix elements of are: We have: (1.8)   We also note that the squares of the matrices is identical and proportional to the identity matrix (1.9) If we write the normalized

  • Least-Squares Property and Regression Analysis

    A simple linear regression model would have only one independent variable. The least squares estimate for multiple linear regression is usually computed using matrix algebra. Provides a solution to each of the given questions.

  • Least squares method

    The linear least squares fitting technique is the simplest and most commonly applied form of linear regression and provides a solution to the problem of finding the best fitting straight line through a set of points.

  • linear algebra techniques used in computer graphics

    368084 Computer graphics and linear algebra Why is linear algebra important for computer graphics? How are linear algebra techniques used in computer graphics?

  • Linear Regression - Least Squares Line

    This solution answers 4 questions pertaining to linear regression, addressing least squares, regression

  • Matrix Algebra

    The estimate of is to find in such a way that error is minimum. But as error can be negative, we will minimize square of error. This is the method of least squares. Method: The sum of squares of the errors , in matrix form can be written as .

  • What is linear algebra? What is matrix algebra?

    Matrices can be added, multiplied, and decomposed in various ways, making them a key concept in linear algebra and matrix theory. Matrix algebra is a branch of algebra that deals with matrices.

  • Bivariate data

    The variation in the sample y values that is explained by the estimated linear relationship between x and y is given by the ___ a. total sum of squares b. regression sum of squares c. error sum of squares which for these data is ___ d. 130.7200

View More Related Solutions