Linear algebra
The linear algebra problem is in the word document since it was easiet to type it there.
If you have any questions about it just text me.
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
Edintam372
18
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
1 Attachment
Erdos
4.8K
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 774 views
- $10.00
Related Questions
- Conjugate / Transpose - Matrix
- Find the values of a, for which the system is consistent. Give a geometric interpretation of the solution(s).
- Determinant and Inverse of a predefined matrix. The question and bounty are updated.
- Find a vector parametric form and symmetric form, find minimal distance betwen L and P, consider vectors v and w.
- Space of all matrices with given column space
- Prove Property of Projection Matrices
- Eigenvalues and eigenvectors of $\begin{bmatrix} 3 & 2 & 4 \\ 2 & 0 & 2 \\ 4 & 2 & 3 \end{bmatrix} $
- Find the null space of the matrix $\begin{pmatrix} 1 & 2 & -1 \\ 3 & -3 & 1 \end{pmatrix}$
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?