mat22a-final-practice

mat22a-final-practice - Math 22A UC Davis, Winter 2011...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 22A UC Davis, Winter 2011 Prof. Dan Romik Final exam notes ? Final exam date, time and place: March 16, Young Hall 198 at 3:30 PM. ? Exam duration: 2 hours. ? Exam type: closed book exam — no written material or electronic devices allowed. ? Exam material: the exam will cover all the material covered in class, with a greater emphasis on material covered after the second midterm. Practice questions for the final 1. You are given the linear system of equations 2 x 1 + 4 x 2 + x 3 + x 4 = 8 x 1 + 2 x 2 + x 3 = 5 - x 1 - 2 x 2 + x 3 - 2 x 4 = - 1 x 1 + 2 x 2 + x 4 = 3 (a) Write an augmented matrix representing the system. (b) Find a reduced row echelon form (RREF) matrix that is row-equivalent to the augmented matrix. (c) Find the general solution of the system. It should be expressed in the form { X 0 + λ 1 Y 1 + λ 2 Y 2 + ... + λ k Y k } where X 0 ,Y 1 ,...,Y k are some vectors in R 4 and λ 1 ,...,λ k are free pa- rameters.
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/13/2011 for the course MATH 22a taught by Professor Chuchel during the Winter '08 term at UC Davis.

Page1 / 2

mat22a-final-practice - Math 22A UC Davis, Winter 2011...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online