Recent content by applechu

For the chapter about orthogonality. Thanks.

It is a example from the book. I try to learn linear algebra from some books. thanks a lot.

In fact, I feel I have stuck into the situation of learning linear algebra. I read the part of orthogonality and four subspaces. I feel confused about some examples, such as following: B=##\begin{bmatrix} 1 & 2&3&4&5 \\ 1 & 2&4&5&6 \\ 1 & 2&4&5&6 \end{bmatrix}## conatins ##\begin{bmatrix} 1...

Thanks

Hi: I have a problem about the matrix, i try the following tex commands: ##A=\begin{ bmatrix } 1 & 2 \\ 3 & 6 \end{ bmatrix }## and it can not show the matrix, I don't know what is the problem, since the code style seems right. And another problem is I try to use Daum Equation Editor...

Hi: I have a problem about combine bases from subspaces. This is part of orthogonality. The examples as following: For A=##\begin{bmatrix} 1 & 2 \\ 3 & 6 \end{bmatrix}## split x= ##\begin{bmatrix} 4 \\ 3 \end{bmatrix}## into ##x_r##+##x_n##=##\begin{bmatrix} 2 \\ 4...

Hi: I see an example about nullspace and orthogonality, the example is following: $$Ax=\begin{bmatrix} 1 & 3 &4\\ 5 & 2& 7 \end{bmatrix} \times \left[ \begin{array}{c} 1 \\ 1\\-1 \end{array} \right]=\begin{bmatrix} 0\\0\end{bmatrix}$$ The conclusion says the nullspace of A^T is only the zero...

Hi: A is a matrix, A=\begin{bmatrix}1 & 3 & 10\\2 & 6 & 20\\3 & 9 & 30\end{bmatrix} u=(1,2,3) , Thanks

sorry, rewrite the s1, s2; s1=\begin{pmatrix} -3\\ 1\\ 0 \end{pmatrix} and s2= \begin{pmatrix} -10\\ 0\\ 1 \end{pmatrix}

thanks

I have tried a example as following, but still not work: \begin{matrix} 1 & 1 & -1\\ 1 & -1 & 1\\ 1 & 1 & 1 \end{matrix} is there any other method, thanks

Hi: I am a newbie to this forum, and I don't know how to use the text editor correctly. If I hope to write an 3x3 matrices, how to key in it correctly in this thread. and furthermore, if there any manual about the editor, thanks a lot.

Hi: I see an principle about rank one matrice in the book, and it says if u=(1,2,3), \nut=[1 3 10], with Ax=0, the equation \nutx=0; The problem is I see an example like following: s1=[-3 1 0] s2=[-10 0 1] The nullspace contains all combination of s1...

Thanks a lot

Hi: I am a newbie to linear algebra; I have a problem about vector space and subspaces. How to distinguish these two subject. what I know from books is subspace is going through zero, but I still can not figure out what is the difference between vector space and subspaces, thanks.