Math 70
Linear Algebra
TUFTS UNIVERSITY
Department of Mathematics
Exam II
March 30, 2015
Sections 1 and 2
Instructions: No notes or books are allowed. All calculators, cell phones, or other electronic
Math 70
Linear Algebra
TUFTS UNIVERSITY
Department of Mathematics
Exam 1
Feb 25, 2013
All sections
Instructions: No notes or books are allowed. All calculators, cell phones, or other electronic device
Math 70
Linear Algebra
TUFTS UNIVERSITY
Department of Mathematics
Exam I
October 12, 2015
Sections 1 and 2
Instructions: No notes or books are allowed. All calculators, cell phones, or other electroni
Math 70
Linear Algebra
TUFTS UNIVERSITY
Department of Mathematics
Exam 2
Nov 5, 2012
All sections
Instructions: No notes or books are allowed. All calculators, cell phones, or other electronic devices
Math 70
Linear Algebra
TUFTS UNIVERSITY
Department of Mathematics
Exam 1
Feb 25, 2013
All sections
Instructions: No notes or books are allowed. All calculators, cell phones, or other electronic device
1.3 VECTOR EQUATIONS
Key concepts to master: linear combinations of vectors and a
spanning set.
Vector: A matrix with only one column.
Vectors in R n (vectors with n entries):
u1
u
u2
un
Geometric Des
1.8
Introduction to Linear Transformations
Another way to view Ax b:
Matrix A is an object acting on x by multiplication to produce
a new vector Ax or b.
EXAMPLE:
2
4
3
6
1
2
8
2
3
2
4
3
6
1
2
12
4
2
Math 70
Linear Algebra
TUFTS UNIVERSITY
Department of Mathematics
Exam II
November 16, 2015
Sections 1 and 2
Instructions: No notes or books are allowed. All calculators, cell phones, or other electro