## Question

###### We studied two definitions of linearly dependence in class: (1) a set of k vectors are linearly dependent if one of them can be written as linear combination of the remaining k 1 vectors. (2) a set of k vectors are linearly dependent if zero vector be written as a linear combination of these k vectors. Prove that the two definitions are equivalent:

We studied two definitions of linearly dependence in class: (1) a set of k vectors are linearly dependent if one of them can be written as linear combination of the remaining k 1 vectors. (2) a set of k vectors are linearly dependent if zero vector be written as a linear combination of these k vectors. Prove that the two definitions are equivalent:

## Answers

#### Similar Solved Questions

5 answers

##### T0 be 21.1 sec191. SeC;JIUIn Exercises 5-8, either use the TI-83/84 Plus calculator to find the Finding P-values P-value or use Table A-3 to find a range of values for the P-value. 5. Airport Data Speeds The claim is that for Verizon data speeds at airports, the mean is 14.00 mbps. The sample size is n 13 and the test statistic is -1.625

t0 be 21.1 sec 191. SeC; JIU In Exercises 5-8, either use the TI-83/84 Plus calculator to find the Finding P-values P-value or use Table A-3 to find a range of values for the P-value. 5. Airport Data Speeds The claim is that for Verizon data speeds at airports, the mean is 14.00 mbps. The sample siz...

5 answers

##### Question 3: Propose all Sul ad E1 products for the following compound, and provide a mechanism for each. Eight products are possible: Hint: account for rearrangement Assume the reagent for the substitution is ethanol0hand ^oH 7.8-BrQuestion 4: Propose all Sn2 and E2 products for the following compound,and give a mechanism for each. There are four products possible_ Assume the reagent for the substitution is hydroxide: Na OH

Question 3: Propose all Sul ad E1 products for the following compound, and provide a mechanism for each. Eight products are possible: Hint: account for rearrangement Assume the reagent for the substitution is ethanol 0h and ^oH 7.8- Br Question 4: Propose all Sn2 and E2 products for the following c...

5 answers

##### Find the exact value of each of the remaining irigonometric functions of 0aln 0 =1809270=co20-L (Simplify your answer; including any radicals. Use integers or fractions for any numbers in the expression ) Gan 0 = (Simplify your answer, including any radicals Use integers or fractions for any numbers in the expression Eot 0 = (Simplify your answer including any radicals Use inlegers fractions lor any numbers in the expression ) sec 0 = (Simplify your answer including any radicals Use integers or

Find the exact value of each of the remaining irigonometric functions of 0 aln 0 = 1809 270= co20-L (Simplify your answer; including any radicals. Use integers or fractions for any numbers in the expression ) Gan 0 = (Simplify your answer, including any radicals Use integers or fractions for any num...

5 answers

##### Use the given graphs of f and g to evaluate the expression(g f )3)

Use the given graphs of f and g to evaluate the expression (g f )3)...

5 answers

##### QuestionAttempt 1Confidcntizlitylead investigator clinical trial evaluates the impact of anu-rclechon dng litct transpl patients Alter receiving consent Tron each patient participate trial , the investigator monitors various health metrics for each patient in the test and control group. She maintains the results tracking on data files that encrypt identifier data lements due the sensitivity the information, The key for the encrypted file authorized for the lead investigaton few members of the r

Question Attempt 1 Confidcntizlity lead investigator clinical trial evaluates the impact of anu-rclechon dng litct transpl patients Alter receiving consent Tron each patient participate trial , the investigator monitors various health metrics for each patient in the test and control group. She main...

5 answers

##### "Because economic theories are abstractions from reality they are impractical and unrealistic." True or False? Why?

"Because economic theories are abstractions from reality they are impractical and unrealistic." True or False? Why?...

1 answers

##### Solve the inequality and sketch the graph of the solution on the real number line. $x-5 \geq 7$

Solve the inequality and sketch the graph of the solution on the real number line. $x-5 \geq 7$...

1 answers

##### Find the derivative of the function. $f(x)=\ln 2 x$

Find the derivative of the function. $f(x)=\ln 2 x$...

5 answers

##### Thus, 27 is equivalent to 11011two-Base Twelve Another commonly used number-base system is the base twelve,or the duodecimal system. Eggs are dozens boughe ty the dozen, and pencils are bought by the gross (a dozen dozen). base twelve, there are digits, just as there are 10 digits in base ten, 5 digits in base and 2 five, digits in base two. In base twelve, new symbols are needed to represent the following groups of x's:10 x$ I1 Xs and xrxxtrrrx trrrrrrtrrrThe new symbols chosen arC T and

Thus, 27 is equivalent to 11011two- Base Twelve Another commonly used number-base system is the base twelve,or the duodecimal system. Eggs are dozens boughe ty the dozen, and pencils are bought by the gross (a dozen dozen). base twelve, there are digits, just as there are 10 digits in base ten, 5 d...

5 answers

##### When the sum of 6 and twice a positive number is subtracted from the square of the number, 0 results. Find the number.

When the sum of 6 and twice a positive number is subtracted from the square of the number, 0 results. Find the number....

5 answers

##### Given the transformation of the epoxide below to A under acidic conditions and B under basic conditions:H*ich,ohCh,oich,ohMark the chiral center(s) and define the absolute configurations of the starting material and that of the products and B (R-/S-) (6 points)b: Propose a reasonable and detailed mechanisms for the ring-opening reactions and the formation of A and B (10 points)Propose a simple experiment that will help you distinguish between compound A to B points)

Given the transformation of the epoxide below to A under acidic conditions and B under basic conditions: H*ich,oh Ch,oich,oh Mark the chiral center(s) and define the absolute configurations of the starting material and that of the products and B (R-/S-) (6 points) b: Propose a reasonable and detaile...

5 answers

##### Questicm 7:The joint pdf of two random variables, X and Y, is f(Ky) =x+zy? 0 <* <1 0 <y < 1Find ElXY]6) Find F(X < 8.28,Y < 0.30}.Find P(X > 0.5)

Questicm 7: The joint pdf of two random variables, X and Y, is f(Ky) =x+zy? 0 <* <1 0 <y < 1 Find ElXY] 6) Find F(X < 8.28,Y < 0.30}. Find P(X > 0.5)...

4 answers

##### Both A1 426 nm and 12 683 nm ligth beams are perpendicularly incident upon a diffraction grating with an unknown number of lines per cm. The third order maximum of 11 is observed at some angle 01 while the second order maximum of 12 is observed at another angle 02 = 01 + 4.628 That is, the second order maximum of 12 DOES INDEED occur 4.62" after the third order maximum of A](a) What is the angle at which the third order maximum of 1] occur? Give your answer in degrees with at least 3 signif

Both A1 426 nm and 12 683 nm ligth beams are perpendicularly incident upon a diffraction grating with an unknown number of lines per cm. The third order maximum of 11 is observed at some angle 01 while the second order maximum of 12 is observed at another angle 02 = 01 + 4.628 That is, the second or...

5 answers

##### 7 . [0/14.32 Points]DETAILSPREVIOUS ANSWERSSCALCET8 16.7.516.XPMY NOTESASK YOUR TEACHEREvaluate the surface integralF . dS for the given vector field and the oriented surface S_ In other words find theflux of across S, For closed surfaces use the positive (outward) orientation F(x, Y, 2) = xi+yj+ 24k S is the part of the cone 7 = x + yz beneath the plane 2 = 3 with downward orientationNeed Help?Road It_Master ItSubmit Answer

7 . [0/14.32 Points] DETAILS PREVIOUS ANSWERS SCALCET8 16.7.516.XP MY NOTES ASK YOUR TEACHER Evaluate the surface integral F . dS for the given vector field and the oriented surface S_ In other words find the flux of across S, For closed surfaces use the positive (outward) orientation F(x, Y, 2) = x...

5 answers

##### Let = [" [ [I(r + 1)dzdrd8. By converting into a equivalent wiple Fintegral in Cartesian coordinates [ = JIL f(x,y,z)dv we get f(x,y,z) = 1 +FalseTrue

Let = [" [ [I(r + 1)dzdrd8. By converting into a equivalent wiple Fintegral in Cartesian coordinates [ = JIL f(x,y,z)dv we get f(x,y,z) = 1 + False True...

5 answers

##### A random sample of 50 students were used to estimate the averageage of students in the Faculty of Science. the sample mean was 22years old and standard deviation 0f 4 years, if the Faculty have1000 student. Estimate the population meanSelect one:a.b.c.d.

A random sample of 50 students were used to estimate the average age of students in the Faculty of Science. the sample mean was 22 years old and standard deviation 0f 4 years, if the Faculty have 1000 student. Estimate the population mean Select one: a. b. c. d....

5 answers

##### Can someone please explain me what are amino acid and there function ?

can someone please explain me what are amino acid and there function ?...

5 answers

##### I have 4 buckets with, first bucket has footballs 30 footballs,second has 30 golfballs, 3rd one has 30 tennis balls, 4th onehas 30 volleyballs, If I can pick any x balls, and there is 120ways to pick them. What is x?

I have 4 buckets with, first bucket has footballs 30 footballs, second has 30 golfballs, 3rd one has 30 tennis balls, 4th one has 30 volleyballs, If I can pick any x balls, and there is 120 ways to pick them. What is x?...

5 answers

##### Question 30 Not yet answered Marked out of L00 F Fag questiou The conversion of acetyl chloride to mechanism: methyl acetate occurs via the following two-step3e g ueuncterdeThe conversion of acetyl chloride to methyl acetate would be classified following? as which of theSelect one; 0 A SubstitutionB. AdditionC:' EliminationD. None of these68oh

Question 30 Not yet answered Marked out of L00 F Fag questiou The conversion of acetyl chloride to mechanism: methyl acetate occurs via the following two-step 3e g ueuncterde The conversion of acetyl chloride to methyl acetate would be classified following? as which of the Select one; 0 A Substituti...

5 answers

##### QUESTION 3 Consider the fractions 5/8 and 19/40. First deterrnine each Iraction less than Or greater than one hall 5/8 Filin the blanks with either < or >19/40Now use this information compare (ne [W0 fractions: Fill in the blank with either < 0r > 19/40

QUESTION 3 Consider the fractions 5/8 and 19/40. First deterrnine each Iraction less than Or greater than one hall 5/8 Filin the blanks with either < or > 19/40 Now use this information compare (ne [W0 fractions: Fill in the blank with either < 0r > 19/40...