diff --git a/tutorials/LinearAlgebra/LinearAlgebra.ipynb b/tutorials/LinearAlgebra/LinearAlgebra.ipynb index aa939469382..a1bb9eea13c 100644 --- a/tutorials/LinearAlgebra/LinearAlgebra.ipynb +++ b/tutorials/LinearAlgebra/LinearAlgebra.ipynb @@ -405,8 +405,8 @@ "\n", "Another, equivalent definition highlights what makes this an interesting property. For any matrices $B$ and $C$ of compatible sizes:\n", "\n", - "$$A^{-1}(AB) = A(A^{-1}B) = B \\\\\n", - "(CA)A^{-1} = (CA^{-1})A = C$$\n", + "$$A^{-1}(AB) = A(A^{-1}B) = B$$\n", + "$$(CA)A^{-1} = (CA^{-1})A = C$$\n", "\n", "A square matrix has a property called the **determinant**, with the determinant of matrix $A$ being written as $|A|$. A matrix is invertible if and only if its determinant isn't equal to $0$.\n", "\n", @@ -948,8 +948,8 @@ " A_{n-1,0} \\cdot \\color{blue} {\\begin{bmatrix}B_{0,0} & \\dotsb & B_{0,l-1} \\\\ \\vdots & \\ddots & \\vdots \\\\ B_{k-1,0} & \\dotsb & B_{k-1,l-1} \\end{bmatrix}} & \\dotsb &\n", " A_{n-1,m-1} \\cdot \\color{red} {\\begin{bmatrix}B_{0,0} & \\dotsb & B_{0,l-1} \\\\ \\vdots & \\ddots & \\vdots \\\\ B_{k-1,0} & \\dotsb & B_{k-1,l-1} \\end{bmatrix}}\n", "\\end{bmatrix}\n", - "= \\\\\n", - "=\n", + "=$$\n", + "$$=\n", "\\begin{bmatrix}\n", " A_{0,0} \\cdot \\color{red} {B_{0,0}} & \\dotsb & A_{0,0} \\cdot \\color{red} {B_{0,l-1}} & \\dotsb & A_{0,m-1} \\cdot \\color{blue} {B_{0,0}} & \\dotsb & A_{0,m-1} \\cdot \\color{blue} {B_{0,l-1}} \\\\\n", " \\vdots & \\ddots & \\vdots & \\dotsb & \\vdots & \\ddots & \\vdots \\\\\n",