# A simple notation problem (bra ket notation) [closed] How can it change this to that?

## closed as off-topic by Aaron Stevens, tpg2114♦Oct 5 at 14:42

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "Homework-like questions should ask about a specific physics concept and show some effort to work through the problem. We want our questions to be useful to the broader community, and to future users. See our meta site for more guidance on how to edit your question to make it better" – Aaron Stevens, tpg2114
If this question can be reworded to fit the rules in the help center, please edit the question.

The first thing to know is how to do matrix multiplication, in your case for example: $$\begin{bmatrix} 1 & 1 \\ 1 & -1 \end{bmatrix} \begin{bmatrix} 1 \\ 0 \end{bmatrix} =\begin{bmatrix} 1 \\ 1 \end{bmatrix}$$
The second thing to know is the convention for ket vectors: $$\begin{bmatrix} 1 \\ 0 \end{bmatrix} = |0\rangle \quad \begin{bmatrix} 0 \\ 1 \end{bmatrix} = |1\rangle$$