MathCastle
Linear AlgebraEasyDiagonalization & Matrix Powers

Diagonalization & Matrix Powers · Easy problem

The symmetric matrix A=(3113)A = \begin{pmatrix}3 & 1\\1 & 3\end{pmatrix} is orthogonally diagonalized as A=QDQTA = QDQ^{T} with D=(d100d2)D = \begin{pmatrix}d_1 & 0\\0 & d_2\end{pmatrix} and d1≥d2d_1 \ge d_2. Find d1d_1.