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  "body": "\n## Statement\n\nLet $T \\colon \\mathbb{R}^n \\to \\mathbb{R}^m$ be a matrix transformation given by an $m \\times n$ matrix $A$.\nLet $S \\colon \\mathbb{R}^m \\to \\mathbb{R}^p$ be a matrix transformation given by a $p \\times m$ matrix $B$.\nThen the composition $S \\circ T \\colon \\mathbb{R}^n \\to \\mathbb{R}^p$ is again a matrix transformation.\nIts matrix is the [[matrix product|032Q9FB8MT]] $BA$.\n\n## Remarks\n\nIn formulas, $S(T(\\mathbf{x})) = B(A\\mathbf{x}) = (BA)\\mathbf{x}$ for every $\\mathbf{x}$ in $\\mathbb{R}^n$.\nThe matrix of the map that acts first stands on the right.\n",
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