Linear algebra
The linear algebra problem is in the word document since it was easiet to type it there.
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2.. In the linear space $R^{4} $ regarding its standard basis E = {$e_1, e_2, e_3, e_4$} are given the vectors:
$a_1 = 4\times e_2\times 2 + 7\times e_3\times 3 + 3\times e_4\times 4$
$a_2 = (4 − 3, −3, 7 − 4, 4 − 3)$
$a_3 = (4 − 3, 4 − 3, 2\times 7 − 4, 4) $
Find if the system of vectors A={$a_1, a_2, a_3$} is linearly independent and find rankA
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What do you mean by "b) To study the matrices for linear dependence (independence) "? What do you mean by * in question 2? I just see a bunch on multiplications and additions, there are not matrices or vectors. Your writing is very unclear. You can take a picture of your questions and upload if it is from a textbook.
Posted more clear info. It's not in english and it's pretty hard for me to translate it.
Still not clear. What does 4-3 mean?! isn't 4-3=1? I guess you mean something else by the minus sign. It's ok if you text is in a different language one can guess what the question is from the equations.
https://imgur.com/onQXiJe there is link to the image
The equations you had typed is o much different than the ones in the image. Since you are offering a low bounty, you should try to ask your question very clearly, otherwise $10 is enough enough incentive form someone to try to put all of these together and answer a post with multiple parts.
is it possible to answer just the first question without the second? I don't have much money and i cant give more for that
It is still not clear to me what part 1 b) is asking. Your translation doesn't sound right.
Are you asking wether those two matrices are linearly independent?
yes
which one are you answering?