FoundationNumeric answer

For $\begin{pmatrix}4 & 1\\ 1 & 3\end{pmatrix}x = \begin{pmatrix}1\\ 2\end{pmatrix}$ , one Jacobi iteration from $x = (0, 0)$ gives what first component?

Answer with a number. Fractions, powers and expressions like 23/6 or C(52,5) are read correctly in practice.

The worked solution is in Premium

The answer, the full working and the one idea to take away – for this and all 1,322 questions in the bank. Answer it in practice and your working is marked, with a known mistake named when you make one.

Start the 7-day free trial Practise it with Premium

Learn the method

Linear algebra in practice: factorisations and conditioning

Reported in interviews at

Citadel, Two Sigma

For (4113)x=(12)\begin{pmatrix}4 & 1\\ 1 & 3\end{pmatrix}x = \begin{pmatrix}1\\ 2\end{pmatrix}(41​13​)x=(12​), one Jacobi iteration from x=(0,0)x = (0, 0)x=(0,0) gives what first component?

More numerical methods questions

For $\begin{pmatrix}4 & 1\\ 1 & 3\end{pmatrix}x = \begin{pmatrix}1\\ 2\end{pmatrix}$ , one Jacobi iteration from $x = (0, 0)$ gives what first component?