Elementary & Intermediate Algebra
3rd Edition
ISBN: 9780321880116
Author: Michael Sullivan III, Katherine R. Struve, Janet Mazzarella
Publisher: PEARSON
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Textbook Question
Chapter B.3, Problem 26E
In Problems 25-28, find the perimeter and area of each figure. See Objective 1.
26. 
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Question 4
(a) The following matrices represent linear maps on R² with respect to an
orthonormal basis:
=
[1/√5 2/√5
[2/√5 -1/√5]
"
[1/√5 2/√5]
A =
B =
[2/√5 1/√5] 1
C =
D =
=
=
[ 1/3/5 2/35]
1/√5 2/√5
-2/√5 1/√5'
For each of the matrices A, B, C, D, state whether it represents a self-adjoint
linear map, an orthogonal linear map, both, or neither.
(b) For the quadratic form
q(x, y, z) = y² + 2xy +2yz
over R, write down a linear change of variables to u, v, w such that q in these
terms is in canonical form for Sylvester's Law of Inertia.
[6]
[4]
part b please
Question 5
(a) Let a, b, c, d, e, ƒ Є K where K is a field. Suppose that the determinant of the
matrix
a cl
|df
equals 3 and the determinant of
determinant of the matrix
a+3b cl
d+3e f
ГЪ
e
[ c ] equals 2. Compute the
[5]
(b) Calculate the adjugate Adj (A) of the 2 × 2 matrix
[1 2
A
=
over R.
(c) Working over the field F3 with 3 elements, use row and column operations to put
the matrix
[6]
0123]
A
=
3210
into canonical form for equivalence and write down the canonical form. What is
the rank of A as a matrix over F3?
4
Chapter B Solutions
Elementary & Intermediate Algebra
Ch. B.1 - 1.if two line segments have the same length they...Ch. B.1 - Prob. 2ECh. B.1 - Prob. 3ECh. B.1 - Prob. 4ECh. B.1 - In Problems 47, classify each angle as right,...Ch. B.1 - Prob. 6ECh. B.1 - Prob. 7ECh. B.1 - Prob. 8ECh. B.1 - Prob. 9ECh. B.1 - In problems 9 and 10 find the complement and...
Ch. B.1 - Prob. 11ECh. B.1 - Prob. 12ECh. B.1 - Prob. 13ECh. B.1 - Prob. 14ECh. B.1 - Prob. 15ECh. B.1 - In Problems 1522, classify each angle as right,...Ch. B.1 - Prob. 17ECh. B.1 - In Problems 1522, classify each angle as right,...Ch. B.1 - Prob. 19ECh. B.1 - In Problems 1522, classify each angle as right,...Ch. B.1 - Prob. 21ECh. B.1 - In Problems 1522, classify each angle as right,...Ch. B.1 - Prob. 23ECh. B.1 - In Problems 2326, find the complement of each...Ch. B.1 - Prob. 25ECh. B.1 - In Problems 2326, find the complement of each...Ch. B.1 - Prob. 27ECh. B.1 - In Problems 27-30, find the supplement of each...Ch. B.1 - Prob. 29ECh. B.1 - In Problems 27-30, find the supplement of each...Ch. B.1 - Prob. 31ECh. B.1 - In Problems 31 and 32, find the measure of angles...Ch. B.2 - A triangle in which two sides are congruent is...Ch. B.2 - Prob. 2ECh. B.2 - Prob. 3ECh. B.2 - Prob. 4ECh. B.2 - Prob. 5ECh. B.2 - Prob. 6ECh. B.2 - Prob. 7ECh. B.2 - Prob. 8ECh. B.2 - Prob. 9ECh. B.2 - Prob. 10ECh. B.2 - Prob. 11ECh. B.2 - Prob. 12ECh. B.2 - Prob. 13ECh. B.2 - Prob. 14ECh. B.2 - Prob. 15ECh. B.2 - In Problems 15-18, find the measure of the missing...Ch. B.2 - Prob. 17ECh. B.2 - In Problems 15-18, find the measure of the missing...Ch. B.2 - Prob. 19ECh. B.2 - In Problems 19-22, determine the length of the...Ch. B.2 - Prob. 21ECh. B.2 - In Problems 19-22, determine the length of the...Ch. B.2 - Prob. 23ECh. B.2 - In Problems 23-26, find the length of a diameter...Ch. B.2 - Prob. 25ECh. B.2 - Prob. 26ECh. B.2 - Prob. 27ECh. B.2 - In Problems 27-30, find the length of a radius of...Ch. B.2 - Prob. 29ECh. B.2 - Prob. 30ECh. B.3 - The __________ of a polygon is the distance around...Ch. B.3 - The ____________ of a polygon is the amount of...Ch. B.3 - Prob. 3ECh. B.3 - Prob. 4ECh. B.3 - Prob. 5ECh. B.3 - Prob. 6ECh. B.3 - Prob. 7ECh. B.3 - Prob. 8ECh. B.3 - Prob. 9ECh. B.3 - Prob. 10ECh. B.3 - Prob. 11ECh. B.3 - Prob. 12ECh. B.3 - Prob. 13ECh. B.3 - Prob. 14ECh. B.3 - Prob. 15ECh. B.3 - Prob. 16ECh. B.3 - Prob. 17ECh. B.3 - Prob. 18ECh. B.3 - Prob. 19ECh. B.3 - In Problems 19-22, find the perimeter and area of...Ch. B.3 - Prob. 21ECh. B.3 - Prob. 22ECh. B.3 - Prob. 23ECh. B.3 - In Problems 23 and 24, find the perimeter and area...Ch. B.3 - Prob. 25ECh. B.3 - In Problems 25-28, find the perimeter and area of...Ch. B.3 - Prob. 27ECh. B.3 - Prob. 28ECh. B.3 - Prob. 29ECh. B.3 - In Problems 29-36, find the perimeter and area of...Ch. B.3 - Prob. 31ECh. B.3 - Prob. 32ECh. B.3 - Prob. 33ECh. B.3 - In Problems 29-36, find the perimeter and area of...Ch. B.3 - Prob. 35ECh. B.3 - In Problems 29-36, find the perimeter and area of...Ch. B.3 - In Problems 37-40, find the perimeter and area of...Ch. B.3 - In Problems 37-40, find the perimeter and area of...Ch. B.3 - Prob. 39ECh. B.3 - Prob. 40ECh. B.3 - Prob. 41ECh. B.3 - In Problems 41-44, find (a) the circumference and...Ch. B.3 - Prob. 43ECh. B.3 - Prob. 44ECh. B.3 - Prob. 45ECh. B.3 - Prob. 46ECh. B.3 - Prob. 47ECh. B.3 - Prob. 48ECh. B.4 - A ___________ is a three-dimensional solid formed...Ch. B.4 - Prob. 2ECh. B.4 - Prob. 3ECh. B.4 - Prob. 4ECh. B.4 - Prob. 5ECh. B.4 - Prob. 6ECh. B.4 - Prob. 7ECh. B.4 - Find the volume V and surface area S of a...Ch. B.4 - Prob. 9ECh. B.4 - A sphere with radius 10 inches.Ch. B.4 - Prob. 11ECh. B.4 - In Problems 11-16, find the exact and approximate...Ch. B.4 - Prob. 13ECh. B.4 - Prob. 14ECh. B.4 - Prob. 15ECh. B.4 - Find the volume V and surface area S of a square...Ch. B.4 - Prob. 17ECh. B.4 - Water for the Horses A trough for horses in the...Ch. B.4 - Prob. 19ECh. B.4 - Prob. 20ECh. B.4 - Ice Cream Cone A waffle cone for ice cream has a...Ch. B.4 - Prob. 22E
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