Hello,
I am taking a basic linear algebra class and I am having trouble understanding the concept of a set of matrices.
Here is one example:
[math] \begin{pmatrix} 3 & 1\\ 1 & -1\\ \end{pmatrix} \in \{ \begin{pmatrix} 1 & 1\\ 1 & 0\\ \end{pmatrix} , \begin{pmatrix} 0 & 0\\ 1 & 1\\ \end{pmatrix} , \begin{pmatrix} 0 & 2\\ 0 & -1\\ \end{pmatrix} |a, b, c \in \mathbb{R}\} [/math]
I don't understand how this matrix can belong to this set and I found no explanation for this in the textbook.
Could someone could please explain this or share a link with an explanation? Thanks a lot in advance.
I am taking a basic linear algebra class and I am having trouble understanding the concept of a set of matrices.
Here is one example:
[math] \begin{pmatrix} 3 & 1\\ 1 & -1\\ \end{pmatrix} \in \{ \begin{pmatrix} 1 & 1\\ 1 & 0\\ \end{pmatrix} , \begin{pmatrix} 0 & 0\\ 1 & 1\\ \end{pmatrix} , \begin{pmatrix} 0 & 2\\ 0 & -1\\ \end{pmatrix} |a, b, c \in \mathbb{R}\} [/math]
I don't understand how this matrix can belong to this set and I found no explanation for this in the textbook.
Could someone could please explain this or share a link with an explanation? Thanks a lot in advance.