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I'd appreciate any help with these linear algebra questions, thank you! 2. (Parameters) We are told that the general solution of some system of equations

I'd appreciate any help with these linear algebra questions, thank you!

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2. (Parameters) We are told that the general solution of some system of equations has the fol- lowing form 2 0 l 3 l t 4 0 +3 4 + 3 l 5 2 0 Determine if _: a solution of that system. If yes, nd parameters 5 and I. If it is not, 18 explain why not. 3. (Row operations) Show that the row operation of swapping two rows is redundant, that is, you may swap two rows by using some combination of other row operations. 4. (Linear combinations) Show that a linear combination of linear combinations is a linear combination. That is, if vectors Why132,. . . ,Wm are linear combinations of vectors {2'1 , 172,. . . , fin, and a vector ii is a linear combination of 131,132,. . . ,v'v'vm, then if is a linear combination of l,z,...,n

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