Tag Archives: factorization

Linear Algebra and Its Applications, Review Exercise 2.33

Posted on January 25, 2014 by hecker

Review exercise 2.33. Consider the following factorization: a) What is the rank of ? b) Find a basis for the row space of . c) Are rows 1, 2, and 3 of linearly independent: true or false? d) Find a … Continue reading →

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Linear Algebra and Its Applications, Exercise 2.2.3

Posted on August 23, 2011 by hecker

Exercise 2.2.3. Consider the system of linear equations represented by the following matrix: Find the factorization , a set of basic variables, a set of free variables, a general solution to (expressed as a linear combination as in equation (1) … Continue reading →

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Linear Algebra and Its Applications, Exercise 1.5.12

Posted on January 13, 2011 by hecker

Exercise 1.5.12. Could be factored into the product where is upper triangular and is lower triangular, instead of being factored into the product ? If so, how could this other factorization be carried out? Would and be the same in … Continue reading →

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