MATH 1503: Linear Algebra 1A Fall 2014
Assignment # 1
Answer the following questions. Be sure to include your workings. Be clear and explain your steps. You can
discuss the assignment questions and course material with other students and with the instruct
MATH 1503: Introduction to Linear Algebra
1.2: Dot Product and Cross Product
Dot Product
Let u = (u1 , u2 ) and v = (v1 , v2 ) be vectors in R2 . The dot
product of u and v , denoted u v , is
u v = u1 v1 + u2 v2
Let u = (u1 , u2 , u3 ) and v = (v1 , v2 ,
MATH 1503: Introduction to Linear Algebra
1.3: Lines and Planes
Lines and Planes
A line in R2 can be written as
ax + by = c
A plane in R3 can be written as
ax + by + cz = d
In this section we discuss other forms for the equation of a line or a
plane.
Poin
MATH 1503: Linear Algebra 2A Fall 2014
Assignment # 5
Answer the following questions. Be sure to include your workings. Be clear and explain your steps. You can
discuss the assignment questions and course material with other students and with the instruct
MATH 1503: Linear Algebra 2A Fall 2014
Assignment # 3 Solutions
DUE: 3pm, Wednesday, October 1st, 2013
1. Show that the linear system
x1 3x2 x3 + x4 = 1
x1 + 2x2 + x3 + x4 = 0
has the solution (2 + s + 5t, 1 + 2t, s, t).
For equation 1:
x1 3x2 x3 + x4 = (
MATH 1503: Linear Algebra 2A Fall 2014
Assignment # 4 Solutions
DUE: 3pm, Wednesday, October 8th, 2014
1. Find the reduced row-echelon form of
1
a
b+c
1
1
b
c+a
a+b
c
where a, b, and c are constants and c = a and b = a.
1
a
b+c
1
1
b
c+a
a+b
c
R2 R1
R
MATH 1503: Linear Algebra 2A Fall 2014
Assignment # 2 Solutions
DUE: 3pm, Wednesday, September 24th, 2013
1. Give a point-parallel form and parametric equations for the line in R2 through the point P (3, 1) and parallel
to v = (2, 3).
3
x(t) =
+t
1
2
3
Th
MATH 1503: Linear Algebra 2A Fall 2014
Assignment # 3
Answer the following questions. Be sure to include your workings. Be clear and explain your steps. You can
discuss the assignment questions and course material with other students and with the instruct
MATH 1503: Linear Algebra 2A Fall 2014
Assignment # 4
Answer the following questions. Be sure to include your workings. Be clear and explain your steps. You can
discuss the assignment questions and course material with other students and with the instruct
MATH 1503: Linear Algebra 2A Fall 2014
Assignment # 2
Answer the following questions. Be sure to include your workings. Be clear and explain your steps. You can
discuss the assignment questions and course material with other students and with the instruct
MATH 1503: Introduction to Linear Algebra
1.1: Geometry of R2 and R3
Vectors?
The context in which many of you will encounter vectors is the
analysis of the forces acting on an object and the resulting
movement of that object.
Some quantities only require