MYLAB MATH WITH PEARSON ETEXT -- 24 MON
5th Edition
ISBN: 2818000016277
Author: Martin-Gay
Publisher: PEARSON
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Question
Chapter 14.1, Problem 15E
To determine
To find:
The solution of the system of linear equations by graphing.
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Question 2
In this question, V = Q4 and
-
U = {(x, y, z, w) EV | x+y2w+ z = 0},
W = {(x, y, z, w) € V | x − 2y + w − z = 0},
Z = {(x, y, z, w) € V | xyzw = 0}.
(a) Determine which of U, W, Z are subspaces of V. Justify your answers.
(b) Show that UW is a subspace of V and determine its dimension.
(c) Is VU+W? Is V = UW? Justify your answers.
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Chapter 14 Solutions
MYLAB MATH WITH PEARSON ETEXT -- 24 MON
Ch. 14.1 - Prob. 1PCh. 14.1 - Prob. 2PCh. 14.1 - Prob. 3PCh. 14.1 - Prob. 4PCh. 14.1 - Prob. 5PCh. 14.1 - Prob. 6PCh. 14.1 - Prob. 7PCh. 14.1 - Prob. 8PCh. 14.1 - Prob. 1VRVCCh. 14.1 - Prob. 2VRVC
Ch. 14.1 - Prob. 3VRVCCh. 14.1 - Prob. 4VRVCCh. 14.1 - Prob. 5VRVCCh. 14.1 - Prob. 6VRVCCh. 14.1 - Prob. 7VRVCCh. 14.1 - Prob. 8VRVCCh. 14.1 - Prob. 9VRVCCh. 14.1 - Prob. 10VRVCCh. 14.1 - Prob. 1ECh. 14.1 - Prob. 2ECh. 14.1 - Prob. 3ECh. 14.1 - Prob. 4ECh. 14.1 - Prob. 5ECh. 14.1 - Prob. 6ECh. 14.1 - Prob. 7ECh. 14.1 - Prob. 8ECh. 14.1 - Prob. 9ECh. 14.1 - Prob. 10ECh. 14.1 - Prob. 11ECh. 14.1 - Prob. 12ECh. 14.1 - Prob. 13ECh. 14.1 - Prob. 14ECh. 14.1 - Prob. 15ECh. 14.1 - Prob. 16ECh. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - Prob. 19ECh. 14.1 - Prob. 20ECh. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - Prob. 23ECh. 14.1 - Prob. 24ECh. 14.1 - Prob. 25ECh. 14.1 - Prob. 26ECh. 14.1 - Prob. 27ECh. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - Prob. 31ECh. 14.1 - Prob. 32ECh. 14.1 - Prob. 33ECh. 14.1 - Prob. 34ECh. 14.1 - Prob. 35ECh. 14.1 - Prob. 36ECh. 14.1 - Prob. 37ECh. 14.1 - Prob. 38ECh. 14.1 - Prob. 39ECh. 14.1 - Prob. 40ECh. 14.1 - Prob. 41ECh. 14.1 - Prob. 42ECh. 14.1 - Prob. 43ECh. 14.1 - Prob. 44ECh. 14.1 - Prob. 45ECh. 14.1 - Prob. 46ECh. 14.1 - Prob. 47ECh. 14.1 - Prob. 48ECh. 14.1 - Prob. 49ECh. 14.1 - Prob. 50ECh. 14.1 - Prob. 51ECh. 14.1 - Prob. 52ECh. 14.1 - Prob. 53ECh. 14.1 - Prob. 54ECh. 14.1 - Prob. 55ECh. 14.1 - Prob. 56ECh. 14.1 - Prob. 57ECh. 14.1 - Prob. 58ECh. 14.1 - Prob. 59ECh. 14.1 - Prob. 60ECh. 14.1 - Prob. 61ECh. 14.1 - Prob. 62ECh. 14.1 - Prob. 63ECh. 14.1 - Prob. 64ECh. 14.1 - Prob. 65ECh. 14.1 - Prob. 66ECh. 14.1 - Prob. 67ECh. 14.1 - Prob. 68ECh. 14.1 - Prob. 69ECh. 14.1 - Prob. 70ECh. 14.1 - Prob. 71ECh. 14.1 - Prob. 72ECh. 14.1 - Prob. 1CECh. 14.1 - Prob. 2CECh. 14.1 - Prob. 3CECh. 14.1 - Prob. 4CECh. 14.2 - Prob. 1CCCh. 14.2 - Prob. 2CCCh. 14.2 - Prob. 3CCCh. 14.2 - Prob. 1PCh. 14.2 - Prob. 2PCh. 14.2 - Prob. 3PCh. 14.2 - Prob. 4PCh. 14.2 - Prob. 5PCh. 14.2 - Prob. 6PCh. 14.2 - Prob. 1VRVCCh. 14.2 - Prob. 2VRVCCh. 14.2 - Prob. 3VRVCCh. 14.2 - Prob. 4VRVCCh. 14.2 - Prob. 5VRVCCh. 14.2 - Prob. 6VRVCCh. 14.2 - Prob. 1ECh. 14.2 - Prob. 2ECh. 14.2 - Prob. 3ECh. 14.2 - Prob. 4ECh. 14.2 - Prob. 5ECh. 14.2 - Prob. 6ECh. 14.2 - Prob. 7ECh. 14.2 - Prob. 8ECh. 14.2 - Prob. 9ECh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - Prob. 12ECh. 14.2 - Prob. 13ECh. 14.2 - Prob. 14ECh. 14.2 - Prob. 15ECh. 14.2 - Prob. 16ECh. 14.2 - Prob. 17ECh. 14.2 - Prob. 18ECh. 14.2 - Prob. 19ECh. 14.2 - Prob. 20ECh. 14.2 - Prob. 21ECh. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.2 - Prob. 25ECh. 14.2 - Prob. 26ECh. 14.2 - Prob. 27ECh. 14.2 - Prob. 28ECh. 14.2 - Prob. 29ECh. 14.2 - Prob. 30ECh. 14.2 - Prob. 31ECh. 14.2 - Prob. 32ECh. 14.2 - Prob. 33ECh. 14.2 - Prob. 34ECh. 14.2 - Prob. 35ECh. 14.2 - Prob. 36ECh. 14.2 - Prob. 37ECh. 14.2 - Prob. 38ECh. 14.2 - Prob. 39ECh. 14.2 - Prob. 40ECh. 14.2 - Prob. 41ECh. 14.2 - Prob. 42ECh. 14.2 - Prob. 43ECh. 14.2 - Prob. 44ECh. 14.2 - Prob. 45ECh. 14.2 - Prob. 46ECh. 14.2 - Prob. 47ECh. 14.2 - Prob. 48ECh. 14.2 - Prob. 49ECh. 14.2 - Prob. 50ECh. 14.2 - Prob. 51ECh. 14.2 - Prob. 52ECh. 14.2 - Prob. 53ECh. 14.2 - Prob. 54ECh. 14.2 - Prob. 55ECh. 14.2 - Prob. 56ECh. 14.2 - Prob. 57ECh. 14.2 - Prob. 58ECh. 14.3 - Prob. 1CCCh. 14.3 - Prob. 2CCCh. 14.3 - Prob. 1PCh. 14.3 - Prob. 2PCh. 14.3 - Prob. 3PCh. 14.3 - Prob. 4PCh. 14.3 - Prob. 5PCh. 14.3 - Prob. 6PCh. 14.3 - Prob. 1VRVCCh. 14.3 - Prob. 2VRVCCh. 14.3 - Prob. 3VRVCCh. 14.3 - Prob. 4VRVCCh. 14.3 - Prob. 1ECh. 14.3 - Prob. 2ECh. 14.3 - Prob. 3ECh. 14.3 - Prob. 4ECh. 14.3 - Prob. 5ECh. 14.3 - Prob. 6ECh. 14.3 - Prob. 7ECh. 14.3 - Prob. 8ECh. 14.3 - Prob. 9ECh. 14.3 - Prob. 10ECh. 14.3 - Prob. 11ECh. 14.3 - Prob. 12ECh. 14.3 - Prob. 13ECh. 14.3 - Prob. 14ECh. 14.3 - Prob. 15ECh. 14.3 - Prob. 16ECh. 14.3 - Prob. 17ECh. 14.3 - Prob. 18ECh. 14.3 - Prob. 19ECh. 14.3 - Prob. 20ECh. 14.3 - Prob. 21ECh. 14.3 - Prob. 22ECh. 14.3 - Prob. 23ECh. 14.3 - Prob. 24ECh. 14.3 - Prob. 25ECh. 14.3 - Prob. 26ECh. 14.3 - Prob. 27ECh. 14.3 - Prob. 28ECh. 14.3 - Prob. 29ECh. 14.3 - Prob. 30ECh. 14.3 - Prob. 31ECh. 14.3 - Prob. 32ECh. 14.3 - Prob. 33ECh. 14.3 - Prob. 34ECh. 14.3 - Prob. 35ECh. 14.3 - Prob. 36ECh. 14.3 - Prob. 37ECh. 14.3 - Prob. 38ECh. 14.3 - Prob. 39ECh. 14.3 - Prob. 40ECh. 14.3 - Prob. 41ECh. 14.3 - Prob. 42ECh. 14.3 - Prob. 43ECh. 14.3 - Prob. 44ECh. 14.3 - Prob. 45ECh. 14.3 - Prob. 46ECh. 14.3 - Prob. 47ECh. 14.3 - Prob. 48ECh. 14.3 - Prob. 49ECh. 14.3 - Prob. 50ECh. 14.3 - Prob. 51ECh. 14.3 - Prob. 52ECh. 14.3 - Prob. 53ECh. 14.3 - Prob. 54ECh. 14.3 - Prob. 55ECh. 14.3 - Prob. 56ECh. 14.3 - Prob. 57ECh. 14.3 - Prob. 58ECh. 14.3 - Prob. 59ECh. 14.3 - Prob. 60ECh. 14.IR - Prob. 1IRCh. 14.IR - Prob. 2IRCh. 14.IR - Prob. 3IRCh. 14.IR - Prob. 4IRCh. 14.IR - Prob. 5IRCh. 14.IR - Prob. 6IRCh. 14.IR - Prob. 7IRCh. 14.IR - Prob. 8IRCh. 14.IR - Prob. 9IRCh. 14.IR - Prob. 10IRCh. 14.IR - Prob. 11IRCh. 14.IR - Prob. 12IRCh. 14.IR - Prob. 13IRCh. 14.IR - Prob. 14IRCh. 14.IR - Prob. 15IRCh. 14.IR - Prob. 16IRCh. 14.IR - Prob. 17IRCh. 14.IR - Prob. 18IRCh. 14.IR - Prob. 19IRCh. 14.IR - Prob. 20IRCh. 14.IR - Prob. 21IRCh. 14.IR - Prob. 22IRCh. 14.4 - Prob. 1CCCh. 14.4 - Prob. 1PCh. 14.4 - Prob. 2PCh. 14.4 - Prob. 3PCh. 14.4 - Prob. 4PCh. 14.4 - Prob. 1ECh. 14.4 - Prob. 2ECh. 14.4 - Prob. 3ECh. 14.4 - Prob. 4ECh. 14.4 - Prob. 5ECh. 14.4 - Prob. 6ECh. 14.4 - Prob. 7ECh. 14.4 - Prob. 8ECh. 14.4 - Prob. 9ECh. 14.4 - Prob. 10ECh. 14.4 - Prob. 11ECh. 14.4 - Prob. 12ECh. 14.4 - Prob. 13ECh. 14.4 - Prob. 14ECh. 14.4 - Prob. 15ECh. 14.4 - Prob. 16ECh. 14.4 - Prob. 17ECh. 14.4 - Prob. 18ECh. 14.4 - Prob. 19ECh. 14.4 - Prob. 20ECh. 14.4 - Prob. 21ECh. 14.4 - Prob. 22ECh. 14.4 - Prob. 23ECh. 14.4 - Prob. 24ECh. 14.4 - Prob. 25ECh. 14.4 - Prob. 26ECh. 14.4 - Prob. 27ECh. 14.4 - Prob. 28ECh. 14.4 - Prob. 29ECh. 14.4 - Prob. 30ECh. 14.4 - Prob. 31ECh. 14.4 - Prob. 32ECh. 14.4 - Prob. 33ECh. 14.4 - Prob. 34ECh. 14.4 - Prob. 35ECh. 14.4 - Prob. 36ECh. 14.4 - Prob. 37ECh. 14.4 - Prob. 38ECh. 14.4 - Prob. 39ECh. 14.4 - Prob. 40ECh. 14.4 - Prob. 41ECh. 14.4 - Prob. 42ECh. 14.4 - Prob. 43ECh. 14.4 - Prob. 44ECh. 14.4 - Prob. 45ECh. 14.4 - Prob. 46ECh. 14.4 - Prob. 47ECh. 14.4 - Prob. 48ECh. 14.4 - Prob. 49ECh. 14.4 - Prob. 50ECh. 14.4 - Prob. 51ECh. 14.4 - Prob. 52ECh. 14.4 - Prob. 53ECh. 14.4 - Prob. 54ECh. 14.4 - Prob. 55ECh. 14.4 - Prob. 56ECh. 14.GA - Prob. 1GACh. 14.VC - Prob. 1VCCh. 14.VC - Prob. 2VCCh. 14.VC - Prob. 3VCCh. 14.VC - Prob. 4VCCh. 14.VC - Prob. 5VCCh. 14.VC - Prob. 6VCCh. 14.VC - Prob. 7VCCh. 14.CR - Prob. 1CRCh. 14.CR - Prob. 2CRCh. 14.CR - Prob. 3CRCh. 14.CR - Prob. 4CRCh. 14.CR - Prob. 5CRCh. 14.CR - Prob. 6CRCh. 14.CR - Prob. 7CRCh. 14.CR - Prob. 8CRCh. 14.CR - Prob. 9CRCh. 14.CR - Prob. 10CRCh. 14.CR - Prob. 11CRCh. 14.CR - Prob. 12CRCh. 14.CR - Prob. 13CRCh. 14.CR - Prob. 14CRCh. 14.CR - Prob. 15CRCh. 14.CR - Prob. 16CRCh. 14.CR - Prob. 17CRCh. 14.CR - Prob. 18CRCh. 14.CR - Prob. 19CRCh. 14.CR - Prob. 20CRCh. 14.CR - Prob. 21CRCh. 14.CR - Prob. 22CRCh. 14.CR - Prob. 23CRCh. 14.CR - Prob. 24CRCh. 14.CR - Prob. 25CRCh. 14.CR - Prob. 26CRCh. 14.CR - Prob. 27CRCh. 14.CR - Prob. 28CRCh. 14.CR - Prob. 29CRCh. 14.CR - Prob. 30CRCh. 14.CR - Prob. 31CRCh. 14.CR - Prob. 32CRCh. 14.CR - Prob. 33CRCh. 14.CR - Prob. 34CRCh. 14.CR - Prob. 35CRCh. 14.CR - Prob. 36CRCh. 14.CR - Prob. 37CRCh. 14.CR - Prob. 38CRCh. 14.CR - Prob. 39CRCh. 14.CR - Prob. 40CRCh. 14.CR - Prob. 41CRCh. 14.CR - Prob. 42CRCh. 14.CR - Prob. 43CRCh. 14.CR - Prob. 44CRCh. 14.CR - Prob. 45CRCh. 14.CR - Prob. 46CRCh. 14.CR - Prob. 47CRCh. 14.CR - Prob. 48CRCh. 14.CR - Prob. 49CRCh. 14.CR - Prob. 50CRCh. 14.GRT - Prob. 1GRTCh. 14.GRT - Prob. 2GRTCh. 14.GRT - Prob. 3GRTCh. 14.GRT - Prob. 4GRTCh. 14.GRT - Prob. 5GRTCh. 14.GRT - Prob. 6GRTCh. 14.GRT - Prob. 7GRTCh. 14.GRT - Prob. 8GRTCh. 14.GRT - Prob. 9GRTCh. 14.GRT - Prob. 10GRTCh. 14.GRT - Prob. 11GRTCh. 14.GRT - Prob. 12GRTCh. 14.CT - Prob. 1CTCh. 14.CT - Prob. 2CTCh. 14.CT - Prob. 3CTCh. 14.CT - Prob. 4CTCh. 14.CT - Prob. 5CTCh. 14.CT - Prob. 6CTCh. 14.CT - Prob. 7CTCh. 14.CT - Prob. 8CTCh. 14.CT - Prob. 9CTCh. 14.CT - Prob. 10CTCh. 14.CT - Prob. 11CTCh. 14.CT - Prob. 12CTCh. 14.CT - Prob. 13CTCh. 14.CT - Prob. 14CTCh. 14.CT - Prob. 15CTCh. 14.CT - Prob. 16CTCh. 14.CT - Prob. 17CTCh. 14.CT - Prob. 18CTCh. 14.CT - Prob. 19CTCh. 14.CT - Prob. 20CTCh. 14.CT - Prob. 21CTCh. 14.CT - Prob. 22CTCh. 14.CT - Prob. 23CTCh. 14.CT - Prob. 24CTCh. 14.CM - Prob. 1CMCh. 14.CM - Prob. 2CMCh. 14.CM - Prob. 3CMCh. 14.CM - Prob. 4CMCh. 14.CM - Prob. 5CMCh. 14.CM - Prob. 6CMCh. 14.CM - Prob. 7CMCh. 14.CM - Prob. 8CMCh. 14.CM - Prob. 9CMCh. 14.CM - Prob. 10CMCh. 14.CM - Prob. 11CMCh. 14.CM - Prob. 12CMCh. 14.CM - Prob. 13CMCh. 14.CM - Prob. 14CMCh. 14.CM - Prob. 15CMCh. 14.CM - Prob. 16CMCh. 14.CM - Prob. 17CMCh. 14.CM - Prob. 18CMCh. 14.CM - Prob. 19CMCh. 14.CM - Prob. 20CMCh. 14.CM - Prob. 21CMCh. 14.CM - Prob. 22CMCh. 14.CM - Prob. 23CMCh. 14.CM - Prob. 24CMCh. 14.CM - Prob. 25CMCh. 14.CM - Prob. 26CMCh. 14.CM - Prob. 27CMCh. 14.CM - Prob. 28CMCh. 14.CM - Prob. 29CMCh. 14.CM - Prob. 30CMCh. 14.CM - Prob. 31CMCh. 14.CM - Prob. 32CMCh. 14.CM - Prob. 33CMCh. 14.CM - Prob. 34CMCh. 14.CM - Prob. 35CMCh. 14.CM - Prob. 36CMCh. 14.CM - Prob. 37CMCh. 14.CM - Prob. 38CMCh. 14.CM - Prob. 39CMCh. 14.CM - Prob. 40CMCh. 14.CM - Prob. 41CMCh. 14.CM - Prob. 42CM
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