MML F/COLLEGE MAT F/TRADES - ACCESS CODE
10th Edition
ISBN: 9781323845967
Author: Hobbs
Publisher: PEARSON
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Chapter 20, Problem 16PT
To determine
The direction in degrees of the
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1) a) Find a matrix P such that PT AP orthogonally diagonalizes the following matrix
A.
= [{² 1]
A =
b) Verify that PT AP gives the correct diagonal form.
2
01
-2
3
2) Given the following matrices A =
-1
0
1] an
and B =
0
1
-3
2
find the following matrices:
a) (AB) b) (BA)T
3) Find the inverse of the following matrix A using Gauss-Jordan elimination or
adjoint of the matrix and check the correctness of your answer (Hint: AA¯¹ = I).
[1 1 1
A = 3 5 4
L3 6 5
4) Solve the following system of linear equations using any one of Cramer's Rule,
Gaussian Elimination, Gauss-Jordan Elimination or Inverse Matrix methods and
check the correctness of your answer.
4x-y-z=1
2x + 2y + 3z = 10
5x-2y-2z = -1
5) a) Describe the zero vector and the additive inverse of a vector in the vector
space, M3,3.
b) Determine if the following set S is a subspace of M3,3 with the standard
operations. Show all appropriate supporting work.
13) Let U = {j, k, l, m, n, o, p} be the universal set. Let V = {m, o,p), W = {l,o, k}, and X = {j,k). List the elements of
the following sets and the cardinal number of each set.
a) W° and n(W)
b) (VUW) and n((V U W)')
c) VUWUX and n(V U W UX)
d) vnWnX and n(V WnX)
9) Use the Venn Diagram given below to determine the number elements in each of the following sets.
a) n(A).
b) n(A° UBC).
U
B
oh
a
k
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W
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Chapter 20 Solutions
MML F/COLLEGE MAT F/TRADES - ACCESS CODE
Ch. 20.1 - Prob. 1LCCh. 20.1 - Prob. 1ECh. 20.1 - Prob. 2ECh. 20.1 - Prob. 3ECh. 20.1 - Prob. 4ECh. 20.1 - Prob. 5ECh. 20.1 - Prob. 6ECh. 20.1 - Prob. 7ECh. 20.1 - Prob. 8ECh. 20.1 - Prob. 9E
Ch. 20.1 - Prob. 10ECh. 20.1 - Prob. 11ECh. 20.1 - Prob. 12ECh. 20.1 - Prob. 13ECh. 20.1 - Prob. 14ECh. 20.1 - Prob. 15ECh. 20.1 - Prob. 16ECh. 20.1 - Prob. 17ECh. 20.1 - Prob. 18ECh. 20.1 - Prob. 19ECh. 20.1 - Prob. 20ECh. 20.1 - Prob. 21ECh. 20.1 - Prob. 22ECh. 20.1 - Prob. 23ECh. 20.1 - Prob. 24ECh. 20.1 - Prob. 25ECh. 20.1 - Prob. 26ECh. 20.1 - Prob. 27ECh. 20.1 - Prob. 28ECh. 20.1 - Prob. 29ECh. 20.1 - Prob. 30ECh. 20.1 - Prob. 31ECh. 20.1 - Prob. 32ECh. 20.2 - Prob. 1LCCh. 20.2 - Prob. 2LCCh. 20.2 - Prob. 1ECh. 20.2 - Prob. 2ECh. 20.2 - Prob. 3ECh. 20.2 - Prob. 4ECh. 20.2 - Prob. 5ECh. 20.2 - Prob. 6ECh. 20.2 - Prob. 7ECh. 20.2 - Prob. 8ECh. 20.2 - Prob. 9ECh. 20.2 - Prob. 10ECh. 20.2 - Prob. 11ECh. 20.2 - Prob. 12ECh. 20.2 - Prob. 13ECh. 20.2 - Prob. 14ECh. 20.2 - Prob. 15ECh. 20.2 - Prob. 16ECh. 20.2 - Prob. 17ECh. 20.2 - Prob. 18ECh. 20.2 - Prob. 19ECh. 20.2 - Prob. 20ECh. 20.2 - Prob. 21ECh. 20.2 - Prob. 22ECh. 20.2 - Prob. 23ECh. 20.2 - Prob. 24ECh. 20.2 - Prob. 25ECh. 20.3 - Prob. 1LCCh. 20.3 - Prob. 2LCCh. 20.3 - Evaluate.
Ch. 20.3 - Prob. 4LCCh. 20.3 - Prob. 1ECh. 20.3 - Prob. 2ECh. 20.3 - Prob. 3ECh. 20.3 - Prob. 4ECh. 20.3 - Prob. 5ECh. 20.3 - Prob. 6ECh. 20.3 - Prob. 7ECh. 20.3 - Prob. 8ECh. 20.3 - Prob. 9ECh. 20.3 - Prob. 10ECh. 20.3 - Prob. 11ECh. 20.3 - Prob. 12ECh. 20.3 - Prob. 13ECh. 20.3 - Prob. 14ECh. 20.3 - Prob. 15ECh. 20.3 - Prob. 16ECh. 20.3 - Prob. 17ECh. 20.3 - Prob. 18ECh. 20.3 - Prob. 19ECh. 20.3 - Prob. 20ECh. 20.3 - Prob. 21ECh. 20.3 - Prob. 22ECh. 20.3 - Prob. 23ECh. 20.3 - Prob. 24ECh. 20.3 - Prob. 25ECh. 20.3 - Prob. 26ECh. 20.3 - Prob. 27ECh. 20.3 - Prob. 28ECh. 20.3 - Prob. 29ECh. 20.3 - Prob. 30ECh. 20.3 - Prob. 31ECh. 20.3 - Prob. 32ECh. 20.3 - Prob. 33ECh. 20.3 - Prob. 34ECh. 20.3 - Prob. 35ECh. 20.3 - Prob. 36ECh. 20.3 - Prob. 37ECh. 20.3 - Prob. 38ECh. 20.3 - Prob. 39ECh. 20.3 - Prob. 40ECh. 20.3 - Prob. 41ECh. 20.3 - Prob. 42ECh. 20.3 - Prob. 43ECh. 20.3 - Prob. 44ECh. 20.3 - Prob. 45ECh. 20.3 - Prob. 46ECh. 20.3 - Prob. 47ECh. 20.4 - Evaluate to four significant digits.
Ch. 20.4 - Prob. 1ECh. 20.4 - Prob. 2ECh. 20.4 - Prob. 3ECh. 20.4 - Prob. 4ECh. 20.4 - Prob. 5ECh. 20.4 - Prob. 6ECh. 20.4 - Prob. 7ECh. 20.4 - Prob. 8ECh. 20.4 - Prob. 9ECh. 20.4 - Prob. 10ECh. 20.4 - Prob. 11ECh. 20.4 - Prob. 12ECh. 20.4 - Prob. 13ECh. 20.4 - Prob. 14ECh. 20.4 - Prob. 15ECh. 20.4 - Prob. 16ECh. 20.4 - Prob. 17ECh. 20.4 - Prob. 18ECh. 20.4 - Prob. 19ECh. 20.4 - Prob. 20ECh. 20.4 - Prob. 21ECh. 20.4 - Prob. 22ECh. 20.5 - Prob. 1LCCh. 20.5 - Prob. 1ECh. 20.5 - Prob. 2ECh. 20.5 - Prob. 3ECh. 20.5 - Prob. 4ECh. 20.5 - Prob. 5ECh. 20.5 - Find the three angles of each triangle. Round...Ch. 20.5 - Prob. 7ECh. 20.5 - Prob. 8ECh. 20.5 - Prob. 9ECh. 20.5 - Prob. 10ECh. 20.5 - CON A hill is inclined 20° to the horizontal. A...Ch. 20.5 - Prob. 12ECh. 20 - Prob. 1RECh. 20 - Prob. 2RECh. 20 - Prob. 3RECh. 20 - Prob. 4RECh. 20 - Prob. 5RECh. 20 - Prob. 6RECh. 20 - Prob. 7RECh. 20 - Prob. 8RECh. 20 - Prob. 9RECh. 20 - Prob. 10RECh. 20 - Prob. 11RECh. 20 - Prob. 12RECh. 20 - Prob. 13RECh. 20 - Prob. 14RECh. 20 - Prob. 15RECh. 20 - Prob. 16RECh. 20 - Prob. 17RECh. 20 - Prob. 18RECh. 20 - Prob. 19RECh. 20 - Prob. 20RECh. 20 - Prob. 21RECh. 20 - Prob. 22RECh. 20 - Prob. 23RECh. 20 - Prob. 24RECh. 20 - Prob. 25RECh. 20 - Prob. 26RECh. 20 - Prob. 27RECh. 20 - Prob. 28RECh. 20 - Prob. 29RECh. 20 - Prob. 30RECh. 20 - Prob. 31RECh. 20 - Prob. 32RECh. 20 - Prob. 33RECh. 20 - Prob. 34RECh. 20 - Prob. 35RECh. 20 - Prob. 36RECh. 20 - Prob. 37RECh. 20 - Prob. 38RECh. 20 - Prob. 39RECh. 20 - Prob. 40RECh. 20 - Solve the triangles. If a triangle has two...Ch. 20 - Prob. 42RECh. 20 - Prob. 43RECh. 20 - Prob. 44RECh. 20 - Prob. 45RECh. 20 - Prob. 46RECh. 20 - Prob. 47RECh. 20 - Prob. 48RECh. 20 - Solve the exercises. Round sides to four...Ch. 20 - Prob. 50RECh. 20 - Prob. 51RECh. 20 - Prob. 1CACh. 20 - Prob. 2CACh. 20 - Prob. 3CACh. 20 - Prob. 4CACh. 20 - Prob. 5CACh. 20 - Prob. 6CACh. 20 - Prob. 7CACh. 20 - Prob. 8CACh. 20 - Prob. 9CACh. 20 - Prob. 10CACh. 20 - Prob. 11CACh. 20 - Prob. 12CACh. 20 - Prob. 13CACh. 20 - Prob. 14CACh. 20 - Prob. 15CACh. 20 - Prob. 16CACh. 20 - Prob. 1PTCh. 20 - Prob. 2PTCh. 20 - Prob. 3PTCh. 20 - Prob. 4PTCh. 20 - Prob. 5PTCh. 20 - Prob. 6PTCh. 20 - Prob. 7PTCh. 20 - Prob. 8PTCh. 20 - Prob. 9PTCh. 20 - Prob. 10PTCh. 20 - Prob. 11PTCh. 20 - Prob. 12PTCh. 20 - Prob. 13PTCh. 20 - Prob. 14PTCh. 20 - Prob. 15PTCh. 20 - Prob. 16PTCh. 20 - Prob. 17PTCh. 20 - Prob. 18PTCh. 20 - Prob. 19PTCh. 20 - Prob. 20PTCh. 20 - Prob. 21PTCh. 20 - A rod 11 cm long joins a crank 20 cm long to form...Ch. 20 - Prob. 23PTCh. 20 - Prob. 24PTCh. 20 - Prob. 1CPTCh. 20 - Prob. 2CPTCh. 20 - Prob. 3CPTCh. 20 - Prob. 4CPTCh. 20 - Prob. 5CPTCh. 20 - Prob. 6CPTCh. 20 - Prob. 7CPTCh. 20 - Prob. 8CPTCh. 20 - Prob. 9CPTCh. 20 - Prob. 10CPTCh. 20 - Prob. 11CPTCh. 20 - Prob. 12CPTCh. 20 - Prob. 13CPTCh. 20 - Find the resultant vector of the vectors that have...Ch. 20 - Prob. 15CPTCh. 20 - Prob. 16CPTCh. 20 - Prob. 17CPTCh. 20 - Prob. 18CPTCh. 20 - Prob. 19CPTCh. 20 - Prob. 20CPT
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