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use the method of Example 4.29 to compute the indicated power of the matrix

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition | ISBN: 9780538735452 | Authors: David Poole ISBN: 9780538735452 298

Solution for problem 4.4.21 Chapter 4

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition

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Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition | ISBN: 9780538735452 | Authors: David Poole

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition

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Problem 4.4.21

use the method of Example 4.29 to compute the indicated power of the matrix.

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Step 1 of 3

Lecture Notes March 11 , 2016 Nondisjunction  Sometimes during meiosis the chromosomes don’t separate properly  Results in gametes lined up with too many/ too few chromosomes  Frequency of this increases in women in their late 30’s  Homologous chromosomes pairs in every cell are balanced against each other- when an individual has a double dose of some genes and a single dose of others shit happens o Down’s Syndrome- extra chromosome 21  47 total chromosomes in the zygote and in all other cells of the individual  Low level of intelligence, thickened eye lids, faulty speech o Turner’s Syndrome  Results when a person only has one X chromosome- 45 chromosomes in zygote  One of the gametes was missing a sex chromosome  Female, sterile, short, webbed neck, and have problems with math and special relationships o Klinefelter’s Syndrome  Extra sex chromosome- 2X 1Y- 47 chromosomes  Egg having 2X chromosomes  Tall, sterile, male, often with a lowered mental capacity Hormonal Control  Hormones- chemicals, usually proteins or steroids, produced by one part of the body (usually a gland) that alters the activity of another part of the body called the target organ  Important to the bodily functions of many animals- focus on male and female hormones o Males- during embryotic development of the male, the testes produce small amounts of the male sex hormone- testosterone  These small amounts result in the formation of male structures (differentiation) but no sperm is produced  At puberty- the hypothalamus (part of the brain) begins to secrete Gonadotrophic Releasing Hormone- GnRH  GnRH acts on the pituitary gland- which is a “master” gland near the brain- causes the pituitary gland to release a luteinizing hormone (LH) and follicle stimulating hormone (FSH)  LH- causes the interstitial cells in the testes to produce more testosterone  FSH- along with extra testosterone causes maturation of the seminiferous tubules and the production of sperm  Once the LH causes more testosterone to be produced it causes the maturation of the accessory reproductive structures- penis and testes- testosterone triggers secondary sexual characteristics- pubic hair, beard growth, deeper voice, larger and stronger muscles o Females- reproductive cycle Lecture Notes  As in the male- at puberty the hypothalamus releases GnRH which causes the pituitary gland to release LH and FSH  FSH and LH causes the ovaries to mature and begin secreting the two female sex hormones estrogen and progesterone  Estrogen- stimulates maturation of accessory reproductive structures- increases the size of the uterus and vagina- causes the development of secondary sexual characteristics- pubic hair, breasts, broadening of pelvis, redistribution of body fat, and some change in voice  As the hormone balance changes the menstrual cycle is initiated  Estrous Cycle- in most mammals the rhythmic changes in the female reproductive tract is called an EC- female receptive to the male only at certain times during EC- uterine lining build up is reabsorbed if fertilization does not occur  Humans and other higher primates differ from other mammals in that:  Female is somewhat receptive to the male at all times  If fertilization does not occur the thickened uterine lined is shed during a period of bleeding known as menstruation o Human menstrual cycle is about 28 days Lecture Notes March 11 , 2016 Nondisjunction  Sometimes during meiosis the chromosomes don’t separate properly  Results in gametes lined up with too many/ too few chromosomes  Frequency of this increases in women in their late 30’s  Homologous chromosomes pairs in every cell are balanced against each other- when an individual has a double dose of some genes and a single dose of others shit happens o Down’s Syndrome- extra chromosome 21  47 total chromosomes in the zygote and in all other cells of the individual  Low level of intelligence, thickened eye lids, faulty speech o Turner’s Syndrome  Results when a person only has one X chromosome- 45 chromosomes in zygote  One of the gametes was missing a sex chromosome  Female, sterile, short, webbed neck, and have problems with math and special relationships o Klinefelter’s Syndrome  Extra sex chromosome- 2X 1Y- 47 chromosomes  Egg having 2X chromosomes  Tall, sterile, male, often with a lowered mental capacity Hormonal Control  Hormones- chemicals, usually proteins or steroids, produced by one part of the body (usually a gland) that alters the activity of another part of the body called the target organ  Important to the bodily functions of many animals- focus on male and female hormones o Males- during embryotic development of the male, the testes produce small amounts of the male sex hormone- testosterone  These small amounts result in the formation of male structures (differentiation) but no sperm is produced  At puberty- the hypothalamus (part of the brain) begins to secrete Gonadotrophic Releasing Hormone- GnRH  GnRH acts on the pituitary gland- which is a “master” gland near the brain- causes the pituitary gland to release a luteinizing hormone (LH) and follicle stimulating hormone (FSH)  LH- causes the interstitial cells in the testes to produce more testosterone  FSH- along with extra testosterone causes maturation of the seminiferous tubules and the production of sperm  Once the LH causes more testosterone to be produced it causes the maturation of the accessory reproductive structures- penis and testes- testosterone triggers secondary sexual characteristics- pubic hair, beard growth, deeper voice, larger and stronger muscles o Females- reproductive cycle Lecture Notes  As in the male- at puberty the hypothalamus releases GnRH which causes the pituitary gland to release LH and FSH  FSH and LH causes the ovaries to mature and begin secreting the two female sex hormones estrogen and progesterone  Estrogen- stimulates maturation of accessory reproductive structures- increases the size of the uterus and vagina- causes the development of secondary sexual characteristics- pubic hair, breasts, broadening of pelvis, redistribution of body fat, and some change in voice  As the hormone balance changes the menstrual cycle is initiated  Estrous Cycle- in most mammals the rhythmic changes in the female reproductive tract is called an EC- female receptive to the male only at certain times during EC- uterine lining build up is reabsorbed if fertilization does not occur  Humans and other higher primates differ from other mammals in that:  Female is somewhat receptive to the male at all times  If fertilization does not occur the thickened uterine lined is shed during a period of bleeding known as menstruation o Human menstrual cycle is about 28 days

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Chapter 4, Problem 4.4.21 is Solved
Step 3 of 3

Textbook: Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign)
Edition: 3
Author: David Poole
ISBN: 9780538735452

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use the method of Example 4.29 to compute the indicated power of the matrix