Question
3. Let vi = [1, -2,3], v2 = [-1,–4,5], and v3 = [5,-1,3] be vectors in R³.
a) Use determinant to show that v1, v2, and v3 are linearly dependent.
b) Use Gauss-Jordan elimination to write vị as linear combination of v2 and v3.
Expand
Transcribed Image Text

3. Let vi = [1, -2,3], v2 = [-1,–4,5], and v3 = [5,-1,3] be vectors in R³. a) Use determinant to show that v1, v2, and v3 are linearly dependent. b) Use Gauss-Jordan elimination to write vị as linear combination of v2 and v3.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Algebra

Logic

Related Algebra Q&A

Find answers to questions asked by students like you.

Q: Examine (A), (B) and (C) and find the relationship between 40 % of 60 30% od 80 20% of 240 a. A=CB b...

A: Click to see the answer

Q: Solve the quadratic equation by factorizarion x2 -5x - 24 = 0

A: Click to see the answer

Q: You tossable into the air at a height of 5' the velocity of the Baul is 30 Feet per 2nd you catch t...

A: Click to see the answer

Q: Solve the following system of linear equations (Use Gauss Elimination): -X2+2X3-X4=0 3x1-3x3+4X4=4 X...

A: Click to see the answer

Q: 4. In a 2012 election, an exit poll of 100 voters produced the voting results: Men (M) | Women (W) M...

A: Given information: Total voters in the 2012 election are: 100   Men (M) Women (W) Mr. Bob (B) 2...

Q: Consider the following polynomial. f(x) = x³ + 5x? – 9x – 45 Step 2 of 3: Use synthetic division to ...

A: Click to see the answer

Q: Solve the problem. 38) A trough at the end of a gutter spout is meant to direct water away from a ho...

A: Answer(a): The trough, after making a rectangular piece of aluminum, is shaped as a cuboid whose len...

Q: A quantity decreases by 4% for each of 10 years. What is its percentage decrease over the 10-year pe...

A: For this problem,  Assume initial value as x.

Q: Q4: Solve the system of equations by graphical method: 1. -3x + 2y 22, 5x +4y 0

A: Click to see the answer

Q: The roof of a water tower is composed of 6 equal isosceles triangles whose vertices meet in the cent...

A: The roof of a water tower is composed of 6 equal isosceles triangles. The inclined edges is of 17 ft...

Q: x=2y-4 x+8y=16

A: Given, x=2y-4 ..(1)x+8y=16 ..(2)

Q: Two numbers when multiplied equals 28. If one number is x and the other number is greater than x by ...

A: Click to see the answer

Q: State whether each conjecture is true or false.Give a counterexample for any false conjecture. For a...

A: False.    conjecture. For all number x, x4 > x

Q: A man can seed a large field in 8 hours. His daughter can do thejob in 6 hours. If she starts an hou...

A: Click to see the answer

Q: Add the rational expressions.

A: Click to see the answer

Q: Tell the maximum number of zeros that the polynomial function may have. Then use real zeros the poly...

A: Given, fx=-5x8+2x6-6 Here, The given polynomial is of degree 8 Therefore it has 8 maximum roots. Now...

Q: Linear Algebra

A: Click to see the answer

Q: State whether each conjecture is true or false.give a counterexample for any false conjecture For al...

A: Click to see the answer

Q: Find the 20th term

A: Click to see the answer

Q: You flip a coin eight times and keep a record of the results. In how many ways could you obtain at l...

A: Given , a coin flip eight times and and we have to find ways to obtain at least one tail. When you f...

Q: 10) Find the slope and y-intercept of the line 3x + 7y – 4 = 0.

A: Click to see the answer

Q: what is the difference when 3 hours and 47 minutes is subtracted from 6 hours and 10 minutes?

A: Given,          The difference when 3 hours and 47 minutes is substracted from 6 hours and 10 minute...

Q: how do you do factoring

A: Click to see the answer

Q: n boys and n girls are lined up randomly. What is the expected number of boys who have a girl next t...

A: Here, We have n boys and n girls that means, there are total 2n members. If boys who have a girl nex...

Q: Please Solve this math quickly

A: Click to see the answer

Q: c 5 x 7 – 4 × 8 c 1952 + 8 c 46 x 13

A: First question is  5×7 - 4×8 = 35 - 32     ( applying BODMAS rule   = 3

Q: Use f(x) = 4x − 3 and g(x) = 2 − x2 to evaluate the expression. (a)     (f ∘ f)(−1)     (b)     (...

A: Click to see the answer

Q: Use polya's four step problem solving strategy A group of 266 persons consist of men,women and child...

A: Use polya's four step problem solving strategy First we understand the problem  Total there are 266 ...

Q: Use a number line to answer the following questions. a. What integer is 1 less than 5? 4 What intege...

A: Number line is shown below: Integer 1 less than 5 = 4  Integer 1 more than 5 = 6  Integer Opposite ...

Q: Perform the following operations and prove closure. Show your work.

A: Since you have asked multiple questions in a single request, we will be answering only the 1st quest...

Q: 5. Find the specified extreme value on the given region. 20 18 16+ 14+ 12+ 10+ (6, 11) 8+ (3; 8), 6+...

A: Given: Minimum of T(x,y)=x-5y We have to find the minimum of T(x,y)  

Q: George can complete a project in 75 minutes, and if George andWalter both work on the project, they ...

A: From given data,

Q: Determine whether the given ordered pair is a solution to the system of equations. 7x−y=4 x+8y=2 ...

A: 7x-y=4x+8y=2 & the ordered pair is 4, 0.

Q: Solve this algbra

A: Vector v1→=-37635-83567, v2→=-67-9351235-27, and v3→=01453501. We have to find a vectorv4→ in R4 s.t...