1

Show, as in Examples 1.1.2 and 1.1.3, that $A=B$. $A=\left\{x \mid x^{2}-4 x+4=1\right\}, B=\{1,3\}$...

Question

Show, as in Examples 1.1.2 and 1.1.3, that $A=B$. $A=\left\{x \mid x^{2}-4 x+4=1\right\}, B=\{1,3\}$

Show, as in Examples 1.1.2 and 1.1.3, that $A=B$. $A=\left\{x \mid x^{2}-4 x+4=1\right\}, B=\{1,3\}$



Answers

Let $\mathbf{A} :=\left[ \begin{array}{rr}{2} & {-1} \\ {-3} & {4}\end{array}\right]$ and $\mathbf{B} :=\left[ \begin{array}{ll}{1} & {2} \\ {3} & {2}\end{array}\right]$
Verify that $\mathbf{A B} \neq \mathbf{B A}$


Similar Solved Questions

5 answers
QUESTIONWhat is RX s-0.88)7QUESTION 2Wharis P{X > -0.88)?QUESTION 3Whazis R-1,34 <X <-0.39)?
QUESTION What is RX s-0.88)7 QUESTION 2 Wharis P{X > -0.88)? QUESTION 3 Whazis R-1,34 <X <-0.39)?...
5 answers
Prove [continuous 8 points) the linear L 1| the 3 function [ f(r) dr, 1 MOJJ the 1 spacefunction
Prove [ continuous 8 points) the linear L 1| the 3 function [ f(r) dr, 1 MOJJ the 1 space function...
5 answers
Question 110 pts Your class is in groups, working on a logical statements corksheet: Your classmate suggests thata Statements converse is always true: What would you say this statement is false; to explain how and how would you help correct them? 13 4 4 - A - I E = 2 2 2 HTML Editora & 6 12p1 Paragraph
Question 1 10 pts Your class is in groups, working on a logical statements corksheet: Your classmate suggests thata Statements converse is always true: What would you say this statement is false; to explain how and how would you help correct them? 13 4 4 - A - I E = 2 2 2 HTML Editora & 6 12p1 P...
5 answers
Question Rock D Completion Status:3 QUESTIO HU silicate structure where no silica tetrahedra share any oxygen ionsrock tetrahedron QUESTION solid, naturally occurring; cohesive ajueisqns composed mineral mineralkes UU seconds-
Question Rock D Completion Status: 3 QUESTIO HU silicate structure where no silica tetrahedra share any oxygen ions rock tetrahedron QUESTION solid, naturally occurring; cohesive ajueisqns composed mineral mineral kes UU seconds-...
5 answers
Make truth table for cach of the following complex sentences, in order to see when it rue false: Identify which are tautologics; Prove the tautologies: (P+Q +Q. 2,(P + (P Q1l 3.(P+ (Q +Pi): 4.(P-+-P): (P---Pi:
Make truth table for cach of the following complex sentences, in order to see when it rue false: Identify which are tautologics; Prove the tautologies: (P+Q +Q. 2,(P + (P Q1l 3.(P+ (Q +Pi): 4.(P-+-P): (P---Pi:...
5 answers
16. Let Cx(R) denote the vector space of real-valued smooth functions on R. Show that the functionL : Cx (R) - Rgiven by2T f(r) cos(r)dxL(f(z)) = 1is linear. Give an example of a nonzero f(r) € Cx (R) in the null space of L_
16. Let Cx(R) denote the vector space of real-valued smooth functions on R. Show that the function L : Cx (R) - R given by 2T f(r) cos(r)dx L(f(z)) = 1 is linear. Give an example of a nonzero f(r) € Cx (R) in the null space of L_...
5 answers
An oxygen tank contains oxygen $left(mathrm{O}_{2}ight)$ at a pressure of $2.00$ atm. What is the pressure in the tank in terms of the following units?a. torrb. $mathrm{lb} / mathrm{in}^{2}$c. $mathrm{mm} mathrm{Hg}$d. $mathrm{kPa}$
An oxygen tank contains oxygen $left(mathrm{O}_{2} ight)$ at a pressure of $2.00$ atm. What is the pressure in the tank in terms of the following units? a. torr b. $mathrm{lb} / mathrm{in}^{2}$ c. $mathrm{mm} mathrm{Hg}$ d. $mathrm{kPa}$...
5 answers
Set ' up r(t) the integral E <rin find - 4 5L, 2c the arc' length * of the 0 10, " cunve 8= J Then _ evaluate' VAcos? [ 15 + 4xi5? Interel, Ldt 0 Vodt J6 Vcos? 1| 25 +sin? t dt Vzedt '263 J" VA cos? t + 4in?tdt J Vidt = 2r J" Vacos? t + 25 + 4sin? dt Jo Vz9dt V297None of these.Question 9 (1 point)ListenRound the answer to five at Tcurve y 21 + tne&cY
Set ' up r(t) the integral E <rin find - 4 5L, 2c the arc' length * of the 0 10, " cunve 8= J Then _ evaluate' VAcos? [ 15 + 4xi5? Interel, Ldt 0 Vodt J6 Vcos? 1| 25 +sin? t dt Vzedt '263 J" VA cos? t + 4in?tdt J Vidt = 2r J" Vacos? t + 25 + 4sin? dt Jo Vz9dt ...
1 answers
A grating has $5000.0$ slits per $\mathrm{cm} .$ How many orders of violet light of wavelength $412 \mathrm{~nm}$ can be observed with this grating?
A grating has $5000.0$ slits per $\mathrm{cm} .$ How many orders of violet light of wavelength $412 \mathrm{~nm}$ can be observed with this grating?...
1 answers
Let $G$ be a group. a. Prove that the relation $R$ on $G$, defined by $x R y$ if and only if there exists an $a \in G$ such that $y=a^{-1} x a,$ is an equivalence relation. b. Let $x \in G .$ Find $[x],$ the equivalence class containing $x,$ if $G$ is abelian.
Let $G$ be a group. a. Prove that the relation $R$ on $G$, defined by $x R y$ if and only if there exists an $a \in G$ such that $y=a^{-1} x a,$ is an equivalence relation. b. Let $x \in G .$ Find $[x],$ the equivalence class containing $x,$ if $G$ is abelian....
1 answers
The Gamma Function $\Gamma(n)$ is defined by $$\Gamma(n)=\int_{0}^{\infty} x^{n-1} e^{-x} d x, \quad n>0$$ (a) Find $\Gamma(1), \Gamma(2),$ and $\Gamma(3)$ (b) Use integration by parts to show that $\Gamma(n+1)=n \Gamma(n)$ (c) Write $\Gamma(n)$ using factorial notation where $n$ is a positive integer.
The Gamma Function $\Gamma(n)$ is defined by $$\Gamma(n)=\int_{0}^{\infty} x^{n-1} e^{-x} d x, \quad n>0$$ (a) Find $\Gamma(1), \Gamma(2),$ and $\Gamma(3)$ (b) Use integration by parts to show that $\Gamma(n+1)=n \Gamma(n)$ (c) Write $\Gamma(n)$ using factorial notation where $n$ is a positive in...
5 answers
The ingredients on a jar of mincemeat are in order of content byweight and are as follows: Sugar; Apples (26%); Vine fruit (26%); Candied mixed peel(4%); Vegetable suet; Treacle; Acetic Acid; Mixed spices (0.3%);Citric Acid; Antioxidant (Ascorbic Acid). To the nearest 1%, what is the possible range of sugarcontent?
The ingredients on a jar of mincemeat are in order of content by weight and are as follows: Sugar; Apples (26%); Vine fruit (26%); Candied mixed peel (4%); Vegetable suet; Treacle; Acetic Acid; Mixed spices (0.3%); Citric Acid; Antioxidant (Ascorbic Acid). To the nearest 1%, what is the possibl...
5 answers
What is the twofold cost of sex?A description of the fact that sex always decreases the fitnessof a speciesFemales usually have twice the reproductive success as malesdoSexual reproduction results in half the number of offspring asasexual reproduction per individualThe fact that sexual selection involves both intrasexual andintersexual componentsA description of hermaphroditism
What is the twofold cost of sex? A description of the fact that sex always decreases the fitness of a species Females usually have twice the reproductive success as males do Sexual reproduction results in half the number of offspring as asexual reproduction per individual The fact that sexual select...
5 answers
Vx is the velocity of a particle movingalong the x-axis as shown in the figure. Find the averageacceleration of the particle between 3.0 s and 6.0 s.
Vx is the velocity of a particle moving along the x-axis as shown in the figure. Find the average acceleration of the particle between 3.0 s and 6.0 s....
5 answers
Perform the operation and write the result in standard form. (4 + 4i) - (7 + 171)
Perform the operation and write the result in standard form. (4 + 4i) - (7 + 171)...
5 answers
Ccc @citNot . ~yet _ answered Points out of 1.00 1 Flag question A net force F = (2x 3x2)i + (y + 2)j acts o particle as the particle moves along the -axis, with F in Newtons; x in meters. What is the work done in moving the particle from the origin; to (x =L,y = 2) m?
Ccc @cit Not . ~yet _ answered Points out of 1.00 1 Flag question A net force F = (2x 3x2)i + (y + 2)j acts o particle as the particle moves along the -axis, with F in Newtons; x in meters. What is the work done in moving the particle from the origin; to (x =L,y = 2) m?...
4 answers
HtAeanlinn R Uut-(udUse unit analysis show how calculate Ihe ISS 0f 17,2 ML of chromium. See the table below for the density of chromium(number)(unil)T7mLCr(number)(unil)Densities of Some Common SulstaucesSubstance Density (gL)WalerAlumitltChronm 7,25Nickel Copper Silvee3918,941050
Ht Aeanlinn R Uut-(ud Use unit analysis show how calculate Ihe ISS 0f 17,2 ML of chromium. See the table below for the density of chromium (number) (unil) T7mLCr (number) (unil) Densities of Some Common Sulstauces Substance Density (gL) Waler Alumitlt Chronm 7,25 Nickel Copper Silvee 391 8,94 1050...

-- 0.020056--