Lay Chapter 3,
Determinants
Determinants
Let's write a procedure which creates matrices.
In[1]:=
Now generate a few square matrices and calculate their determinants
In[2]:=
Out[4]//MatrixForm=
Out[5]=
In[6]:=
Out[7]//MatrixForm=
Out[8]=
In[9]:=
Out[10]//MatrixForm=
Out[11]=
Determinants in Analytic Geometry
Equation of a Line through Two Points
Use a determinant to find the equation of the line which passes through P(0,1) and Q(1,2).
See Lay's Case Study for chapter 3, "Determinants in Analytic Geometry."
In[12]:=
Out[14]=
In[15]:=
In[16]:=
Equation of a Circle through Three Points
Use a determinant to find the equation of the circle which passes through P(0,1), Q(1,2), and R(2,4).
See Lay's Case Study for chapter 3, "Determinants in Analytic Geometry."
In[17]:=
Out[19]=
Find the standard equation for this circle by "completing the squares."
In[20]:=
Out[20]=
Out[21]=
In[22]:=
In[23]:=
Equation of a Plane through Three Points
Use a determinant to find the equation of the plane which passes through P(0,1,0), Q(1,2,1), and R(1,3,5).
See Lay's Case Study for chapter 3, "Determinants in Analytic Geometry."
In[27]:=
Out[29]=
In[30]:=
Created by Mathematica (February 19, 2005) | ![]() |