diff --git a/AA2324/course/02_math_recap_linear_algebra/02_math_recap_linear_algebra.ipynb b/AA2324/course/02_math_recap_linear_algebra/02_math_recap_linear_algebra.ipynb index 13ae8bd..cf4505d 100644 --- a/AA2324/course/02_math_recap_linear_algebra/02_math_recap_linear_algebra.ipynb +++ b/AA2324/course/02_math_recap_linear_algebra/02_math_recap_linear_algebra.ipynb @@ -2838,15 +2838,15 @@ "\n", "![The matrix $\\mathbf{A}$ again distorting the grid. This time, I want to draw particular attention to what happens to the highlighted square.](https://raw.githubusercontent.com/d2l-ai/d2l-en/master/img/grid-transform-filled.svg)\n", "\n", - "**Sanity Check:** We cannot apply Pythagoras Theorem to compute area because axes are not aligned anymore.\n", + "**Sanity Check:** We cannot apply Pythagoras Theorem to compute area because axes are not orthogonal anymore.\n", "\n", - "The picture is misleading since the axis is **CLOSED to be aligned**.\n", + "The picture is misleading since the axis is **CLOSED to be orthogonal**.\n", "\n", - "The angle between $[1, -1]$ and $[2,3]$ is 101.30993247402021\n", + "The angle between $[1, -1]$ and $[2,3]$ is 101.30993247402021 degrees\n", "```python import numpy as np; X = np.array([[1, -1], [2, 3]]);thetarad = angle(X[0,:],X[1,:]);theta = thetarad*180/np.pi; print(theta)}}\n", "```\n", "\n", - "The angle between $[1, 0]$ and $[0, 1]$ is 90.\n", + "The angle between $[1, 0]$ and $[0, 1]$ is 90 degrees.\n", "\n", "```python\n", "is_basis = False\n",