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Tag Archives: factorization
Linear Algebra and Its Applications, Review Exercise 2.33
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
Posted in linear algebra
Tagged basis, column space, dimension, factorization, general solution, linear independence, nullspace, rank, row space
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Linear Algebra and Its Applications, Exercise 2.2.3
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
Linear Algebra and Its Applications, Exercise 1.5.12
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
Posted in linear algebra
Tagged factorization, lower triangular matrix, upper triangular matrix
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