Lect4

# Lect4 - Chapter 1. Matrices and Systems of Equations...

This preview shows pages 1–8. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Chapter 1. Matrices and Systems of Equations Math1111 Matrix Algebra Linear Combination - Geometric Meaning Example . For what a 1 , a 2 and b will the system ¤ 2 x 1 + 3 x 2 = 8 5 x 1- 4 x 2 = 7 be expressed in the form of x 1 a 1 + x 2 a 2 = b ? Chapter 1. Matrices and Systems of Equations Math1111 Matrix Algebra Linear Combination - Geometric Meaning Example . For what a 1 , a 2 and b will the system ¤ 2 x 1 + 3 x 2 = 8 5 x 1- 4 x 2 = 7 be expressed in the form of x 1 a 1 + x 2 a 2 = b ? Geometric Interpretation Solving the system passes to expressing b as a sum of a 1 and a 2 after “suitable” scaling. Chapter 1. Matrices and Systems of Equations Math1111 Matrix Algebra Linear Combination - Definition Definition Let a 1 , a 2 , ··· , a m be vectors in R n , and c 1 , c 2 , ··· , c m be scalars. Then a sum of the form c 1 a 1 + c 2 a 2 + ··· + c m a m is called a linear combination of the vectors a 1 , a 2 , ··· , a m ....
View Full Document

## Lect4 - Chapter 1. Matrices and Systems of Equations...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online