Math 2568, Section 110 Quiz 1
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1. Find all values of a for which the following system has no solution.
x1 + 2x2 = 3
ax1 2x2 = 5
Applying
Math 2568, Section 90 Quiz 3
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a
0
1. For what value(s) of the scalar a R are the vectors v1 =
and v2 =
linearly independent?
7
0
By de
Math 2568, Section 35 Quiz 3
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1
1. Determine which choice(s) of the scalar a R make(s) it so that the vectors v1 = 2 , v2 =
3
a
v3 = 8 are line
Math 2568, Section 110 Quiz 3
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2 7
5 0
1. Define the matrices A =
and B =
. Compute the matrices A1 and B 1 (you may write
4 9
0 2
each
Math 2568, Section 110 Quiz 2
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1. Does the linear system corresponding to the augmented matrix
1 37 0 8.44321 5 0 5
0 0 1
0
5 0 2
0 0 0
Math 2568, Section 90 Quiz 4
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1. Find a nonzero vector v that is perpendicular to the plane containing the three points (1, 1, 1), (2, 3
Math 2568, Section 35 Quiz 4
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~ that B = (0, 0), that w points in the same direction as the vector 3 , and that
1. Suppose that w = AB,
Math 2568, Section 110 Quiz 4
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7
0
1. Find the area of the parallelogram whose edges are the vectors u = 2 and v = 1 .
3
2
The area is
i
Math 2568, Section 90 Quiz 1
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1. Given the values a11 = 2, a12 = 3, a21 = 4, a22 = 8, b1 = 11, b2 = 76, display the system of equations
Math 2568, Section 90 Quiz 2
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1 1
1. Let A =
. Explicitly describe all solutions x R2 to the equation xT Ax = 0.
1 1
Let us write x =
x1
Math 2568, Section 35 Quiz 2
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1. List all possibilities for the size of the solution set for a nonhomogenous system with one equation an
Math 2568, Section 35 Quiz 1
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1. Give the augmented matrix corresponding to the following system of linear equations.
7x1 + 4x2 + 3x3 7x
Linear Algebra
Homework Collaboration Statement
Include this cover page when you submit any problem set. Complete the information called for and attach
it as the first page of your submission. No problem set will be given credit until it has a collaborati
1.1 and1.2
Chapter 1
Matrices and Systems of Linear Equations
1.1: Introduction to Matrices and Systems of Linear Equations
1.2: Echelon Form and Gauss-Jordan Elimination
Lecture Linear Algebra - Math 2568M on Friday, January 11, 2013
MW 605
Oguz Kurt
1.1 and1.2
Chapter 1
Matrices and Systems of Linear Equations
1.1: Introduction to Matrices and Systems of Linear Equations
1.2: Echelon Form and Gauss-Jordan Elimination
Lecture Linear Algebra - Math 2568M on Friday, January 11, 2013
MW 605
Oguz Kurt
Practice Midterm 1
Math 2568
Autumn 2013
Oguz Kurt
Problem 1
Suppose A is an n m matrix and B is an m n matrix. Then (AB )T = AT B T .
Solution
.
False
Problem 2
Suppose A and B are n n matrices. Then (A + B ) (A + B ) = A2 + 2 AB + B 2 .
Solution
.
False
Quiz 4
Autumn 2013
Name:
Math 2568
There are two problems on this quiz; make sure to look at the back.
Problem 1 (6 points)
41
. For six points, determine whether A is singular or nonsingular. For full credit, be sure to show
51
your work and to explain y
Quiz 3
Name:
Autumn 2013
Math 2568
There are two problems on this quiz; make sure to look at the back.
Problem 1 (6 points)
3
Let A = 1
2
3
1 and B =
1
2
2
1
2
. For six points, compute AB .
Solution
.
Problem 2 (6 points)
1
Let A = 1
2
1 2
2
2
1 and v =
Quiz 2
Math 2568
Autumn 2013
Oguz Kurt
There are two problems on this quiz; make sure to look at the back.
Problem 1 (6 points)
The matrix
0
0
0
101
2 1 2
1 1 3
is the augmented matrix for a system of linear equations. Give the vector form for the genera
Quiz 1
Name:
Autumn 2013
Math 2568
There are two problems on this quiz; make sure to look at the back.
Problem 1 (6 points)
Write down the augmented matrix corresponding to the following system of linear equations.
x1 + 4 x2
8 x3 + 4 x4 = 6
2 x1 + 5 x2 +
Practice for Quiz 3
Name:
Autumn 2013
Math 2568
This is version 74130 of the practice quiz.
Problem 1
2
Let A = 2
2
2 3
2
1
2 and B = 2
3 3
1
3
3
3
2
1 . Compute AB and BA.
2
Solution
.
Problem 2
Let A =
3
2
3
2
and B =
3
2
1
3
. Compute A + (4) B .
Solut
Quiz 5
Name:
Autumn 2013
Math 2568
Problem 1 (6 points)
Let v = (0, 2, 4) and w = (1, 3, 3) and x = (0, 0, 2) . For six points, compute x (v w).
Solution
.
Problem 2 (6 points)
Find a vector perpendicular to both (2, 3, 5) and (3, 1, 5) .
Solution
.
Probl
Quiz 4
Autumn 2013
Name:
Math 2568
Problem 1 (6 points)
222
Let A = 3 5 4 . For six points, determine whether A is singular or nonsingular. For full credit, be sure to
325
show your work and to explain your reasoning.
Solution
.
Problem 2 (6 points)
For s
2.1 Vectors in the
Plane
Chapter 2
Vectors in 2-Space and 3-Space
2.1 Vectors in the Plane
Lecture Linear Algebra - Math 2568M on February 6, 2013
MW 605
Oguz Kurt
[email protected]
292-9659
Off. Hrs:
MWF 10:20-11:20
The Ohio State University
2.1
2
1.7 Linear
Independence and
Nonsingular Matrices
Chapter 1
Matrices and Systems of Linear Equations
1.7 Linear Independence and Nonsingular Matrices
Lecture Linear Algebra - Math 2568M on January 25, 2013
MW 605
Oguz Kurt
[email protected]
292-965
1.3 Consistent
Systems of Linear
Equations
1.5 Matrix
Chapter 1
Operations
Matrices and Systems of Linear Equations
1.3 Consistent Systems of Linear Equations
1.5 Matrix Operations
Lecture Linear Algebra - Math 2568M on January 14, 2013
MW 605
Oguz Ku
1.3 Consistent
Systems of Linear
Equations
1.5 Matrix
Chapter 1
Operations
Matrices and Systems of Linear Equations
1.3 Consistent Systems of Linear Equations
1.5 Matrix Operations
Lecture Linear Algebra - Math 2568M on January 14, 2013
MW 605
Oguz Ku
1.3 Consistent
Systems of Linear
Equations
Chapter 1
1.5 Matrix
Matrices and Systems of Linear Equations
1.6: Algebra of
Operations
Matrix Operations
1.3 Consistent Systems of Linear Equations
1.5 Matrix Operations
Lecture Linear Algebra - Math 2568M
Calculus III
Homework Collaboration Statement
Include this cover page when you submit any problem set. Complete the information called for and attach
it as the first page of your submission. No problem set will be given credit until it has a collaboration