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Monthly Archives: April 2012
Linear Algebra and Its Applications, Exercise 2.4.3
Exercise 2.4.3. For each of the two matrices below give the dimension and find a basis for each of their four subspaces: Answer: We first consider the column spaces and . The matrix has two pivots and therefore rank ; … Continue reading
Linear Algebra and Its Applications, Exercise 2.4.2
Exercise 2.4.2. For each of the two matrices below give the dimension and find a basis for each of their four subspaces: Answer: The echelon matrix has only a single pivot, in the second column. As discussed on page 93, … Continue reading
Linear Algebra and Its Applications, Exercise 2.4.1
Exercise 2.4.1. Suppose that for an by matrix we have . State whether the following is true or false: The row space and column space of are the same. Answer: Consider the following example of a 2 by 2 echelon … Continue reading
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