clarification

psets/pset2.ipynb

@@ -67,7 +67,7 @@
    "source": [
     "## Problem 4\n",
     "\n",
-    "For an $m \\times m$ real-symmetric matrix $S = S^T$, we know that we have real eigenvalues $\\lambda_1,\\ldots,\\lambda_m$ and can find an orthonormal basis of eigenvectors $Q = \\begin{pmatrix} q_1 & \\cdots & q_m \\end{pmatrix}$.   So, we can write any vector $x \\in \\mathbb{R}^m$ as $x = Qc = q_1 c_1 + \\cdots q_m c_m$ for some coefficient $c$.\n",
+    "For an $m \\times m$ real-symmetric matrix $S = S^T$, we know that we have real eigenvalues $\\lambda_1 \\ge \\lambda_2 \\ge \\cdots \\ge \\lambda_m$ and can find an orthonormal basis of eigenvectors $Q = \\begin{pmatrix} q_1 & \\cdots & q_m \\end{pmatrix}$.   So, we can write any vector $x \\in \\mathbb{R}^m$ as $x = Qc = q_1 c_1 + \\cdots q_m c_m$ for some coefficient $c$.\n",
     "\n",
     "**(a)** Show that $x^T x = c_1^2 + \\cdots + c_m^2$ and $x^T S x = \\lambda_1 c_1^2 + \\cdots + \\lambda_m c_m^2$.\n",
     "\n",