%matplotlib inline
%config InlineBackend.figure_format='retina'

# import libraries
import numpy as np
import matplotlib as mp
import pandas as pd
import matplotlib.pyplot as plt
import laUtilities as ut
import slideUtilities as sl
from IPython.display import Image
from IPython.display import display_html
from IPython.display import display
reload(ut)
print ''

%%html
<style>
 .container.slides .celltoolbar, .container.slides .hide-in-slideshow {
    display: None ! important;
}
</style>

# image credit: http://en.wikipedia.org/wiki/Carl_Friedrich_Gauss#mediaviewer/File:Carl_Friedrich_Gauss.jpg
sl.hide_code_in_slideshow()
display(Image("images/Carl_Friedrich_Gauss.jpg", width=250))

sl.hide_code_in_slideshow()
display(Image("images/RowOperationsQuestion.jpg", width=450))

sl.hide_code_in_slideshow()
fig = plt.figure()
xmin = zmin = -4
xmax = zmax = 4
ymin = 0
ymax = 8
ax = fig.add_subplot(111, projection='3d')
ax.axes.set_xlim([xmin, xmax])
ax.axes.set_ylim([ymin, ymax])
ax.axes.set_zlim([zmin, zmax])
ax.axes.set_xlabel('$x_1$')
ax.axes.set_ylabel('$x_2$')
ax.axes.set_zlabel('$x_3$')
eq1 = [1,0,-5,1]
eq2 = [0,1,1,4]
ut.plotLinEqn3d(ax, eq1, 'Brown')
ut.plotLinEqn3d(ax, eq2, 'Green')
ut.plotIntersection3d(ax, eq1, eq2, 'Green')
plt.show()