
Archives
 March 2019
 January 2018
 December 2017
 January 2017
 December 2016
 November 2016
 October 2016
 September 2016
 July 2016
 October 2014
 June 2014
 May 2014
 April 2014
 March 2014
 February 2014
 January 2014
 December 2013
 November 2013
 October 2013
 September 2013
 August 2013
 July 2013
 June 2013
 May 2013
 April 2013
 March 2013
 February 2013
 January 2013
 November 2012
 October 2012
 September 2012
 August 2012
 July 2012
 June 2012
 May 2012
 April 2012
 September 2011
 August 2011
 July 2011
 June 2011
 May 2011
 April 2011
 March 2011
 January 2011
 August 2010
 June 2010
 May 2010
 November 2009

Meta
Monthly Archives: July 2011
Linear Algebra and Its Applications, Review Exercise 1.19
Review exercise 1.19. Solve the following systems of equations using elimination and back substitution: and Answer: We start with the system and subtract 1 times the first equation from the second and 3 times the first equation from … Continue reading
Posted in linear algebra
Leave a comment
Linear Algebra and Its Applications, Review Exercise 1.18
Review exercise 1.18. Given the following matrix (a) Factor into the form (if ). (b) Show that exists and has the same form as . Answer: (a) We start elimination by subtracting times the second row from the third row … Continue reading
Posted in linear algebra
Leave a comment
Linear Algebra and Its Applications, Review Exercise 1.17
Review exercise 1.17. Factor the following two symmetric matrices into the form . Answer: We start elimination for the first matrix by subtracting 2 times the first row from the second row (): and then subtract 2 times the second … Continue reading
Posted in linear algebra
Leave a comment
Linear Algebra and Its Applications, Review Exercise 1.16
Review exercise 1.16. Given the following system of equations: what must be for the system to have no solution? One solution? An infinite number of solutions? Answer: If then the system reduces to for which and is (obviously) a solution. … Continue reading
Posted in linear algebra
2 Comments
Linear Algebra and Its Applications, Review Exercise 1.15
Review exercise 1.15. For the following by matrix and its inverse what is the value of ? Answer: Since we must have Multiplying both sides by we obtain or so that . NOTE: This continues a series of posts containing … Continue reading
Posted in linear algebra
Leave a comment
Linear Algebra and Its Applications, Review Exercise 1.14
Review exercise 1.14. For each of the following find a 3 by 3 matrix such that for any matrix (a) (b) (c) The first row of is the last row of and the last row of is the first row … Continue reading
Posted in linear algebra
Leave a comment
Linear Algebra and Its Applications, Review Exercise 1.13
Review exercise 1.13. Given the following: use the triangular systems and to find a solution to Answer: We have Since and we have also. Since we have so that We then have Since and we have . We then have … Continue reading
Posted in linear algebra
Leave a comment