Hii, can someone please double check my solutions to this question. If they are incorrect can you please guide me and show me how it should be done. Thank you!!1. a) x+y+kz=1, x+ky+z=1, kx+y+z=-2b.) The row echelon form is:1k101-k000-k-2 c.) i.) k = -2ii.) k ≠ -2iii.) k ≠ 1 and k ≠ -2d.) not sure, pls help Question 1. Consider the augmented matrix of a linear system:k1 k 1k1111-2(a) Write the system of linear equations corresponding to the given augmented matrix.(b) Find a row echelon form of the given matrix.(c) (i) For what value(s) of k does the system have an infinite number of solutions? Give rea-soning.(ii) For what value(s) of k is the system inconsistent? Give reasoning.(iii) For what value(s) of k does the system have a unique solution? Give reasoning.(d) Find vectors u, v € R³ such that the solution set of the equation x + y − z = 0 can be written{su + tv|s, t € R}.as

The solution set of equation is x+y-z=0.

Answered: (d) Find vectors u, v € R³ such that…

Math

Advanced Math

(d) Find vectors u, v € R³ such that the solution set of the equation x+y-z = 0 can be written as {su + tv|s, t€ R}.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Solve the system by using the inverse, and verify by Cramer's Rule. 4) 4x1 + 2x2 = -8 2x1 + 9x2 = 12

Q: If one of the sides of a square is 3x-4y - 12 = 0 and the center is (0, 0), then find the equations…

Q: Solve for u. (u+3)² = 2u²+u+15 If there is more than one solution, separate them with commas.

A: Solution:-

Q: ii) Find the dot product of the vector a in part (i) with the displacement vector AB such that…

A: Given that Following vectors To find the dot product

Q: 11) y2+ 2y+ 1

A: simplify the equation

Q: clif A is 2x2 mabrix with IAl =L (row, row2) and B:/5row, Where A-/row Then 8 2 rowl+ 36 a. IBI = 30…

A: Given that |A| = -2 To find: |B| Here A=row1row2B=row12row1+3row2

Q: 3. Solve for X Y when using row operations. 2X + 4Y = 144 X +0.25Y = 30

A: The given system of equations

Q: In Z3×U3, Find the order of (1, 2). Show your work.

Q: Question 1.) Q R. 2x-16 15у-10 3x+9 Бу+90 T. Find the Value of x and y.

A: Given: To Find: x=?, y=?

Q: alm +3)+ m= Bm 3m-

Q: b) I = (x-8)² +2=y+3

A: Given that:To find: The value of x.Formula used:

Q: Ive: x- 2 x- 2 3 %3D 2/3

Q: Write the equation y2 - 12y - 8x+ 20 = 0 in vertex form. O (y + 2)² = 8(x-6) (v+6)² = 8(x-2)

A: Given Equation

Q: Which equation represents OB? ty 2 B -2 2 -2 O A. (x - 2)2 + (y – 1)² = 9 O B. (x+ 2)2 + (y + 1)2 =…

Q: e.) Complete the table: Triangular | The same as adding the number Each staircase takes up half of…

Q: Evaluate A- using the method of adjoints 3 2 7 -3 3 4 1 A = 1 -4 -3 -4 1 -2

Q: Consider the following linear equations: 7x+6y + 5z = -7 7x + (18k)y + 4z = -5 7x+6y + (9-k)z =k+-3…

Q: Name the property illustrated by each step. a. (x + y) + z = x + (y + z) b. (y + z) + x = (z + y) +…

A: The question is about the property of the addition in which we have to answer the property which is…

Q: 2) Draw the algebra tiles representing (4x² - 8x) + 4 and state your answer. (4x²8x) + 4 =

Q: Do the three planes x₁ + 3x₂ + 2x3 = 4, x₂ - 2x3 =1, and 3x₁ + 12x2 = 9 have at least one common…

A: Given planes are Write the above system in matrix form, which is given belowNow, write the augmented…

Q: 1) 8x? – 81x + 2y + 197 = 0 x- 2y = -3 2) -4x2 – 3x + 37y+ 148 = 0 x+ y = -4 3) -x? - 4x + y + 3 = 0…

A: according to our guidelines we can answer only first question and rest can be reposted.

Q: 3. State the GCF of each pair of terms. a) 6x and 10x b) 154³ and 20² c) ab and a²6² d) -2x¹y¹ and…

Q: 1) Divide: 12x* – 7x3 + 7x² + x – 1 by 4x2 –- x + 2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve for x and be sure to show Left side = Right side and Legal Moves. 7) Show all work. (Hint: Use…

Q: Decide if (1 (5, 7, – 7) + r(1, 5, -4) intersect or are skew. If €1 and €, intersect, what is the…

A: We have two equation of line. L1=1, 2, 3+n2, 5, -6L2=5, 7, -7+r1, 5, -4 Here,…

Q: 1 Which of the following is the reduced row echelon form of 2 -3 2 24 4 -6 -1 -1.7 -1 1 0? 0.

Q: e) (4a-7xy-7y)-(-3a+7xy-9y') 2. a) From p- 3p +4 subtract -2p- 1. b) Subtract the sum of x + 3 and…

A: To simplify the given expressions

Question

Hii, can someone please double check my solutions to this question. If they are incorrect can you please guide me and show me how it should be done. Thank you!!

1. a) x+y+kz=1, x+ky+z=1, kx+y+z=-2

b.)

The row echelon form is:

1	k	1
0	1-k	0
0	0	-k-2

c.) i.) k = -2
ii.) k ≠ -2
iii.) k ≠ 1 and k ≠ -2

d.) not sure, pls help

Question 1. Consider the augmented matrix of a linear system:
k
1 k 1
k
1
1
1
1
-2
(a) Write the system of linear equations corresponding to the given augmented matrix.
(b) Find a row echelon form of the given matrix.
(c) (i) For what value(s) of k does the system have an infinite number of solutions? Give rea-
soning.
(ii) For what value(s) of k is the system inconsistent? Give reasoning.
(iii) For what value(s) of k does the system have a unique solution? Give reasoning.
(d) Find vectors u, v € R³ such that the solution set of the equation x + y − z = 0 can be written
{su + tv|s, t € R}.
as

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Step 1

VIEW

Step 2: Step 2

VIEW

Solution

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Determine whether the points (-9, 8, 1), (10, –15, 5), (6, 6, −12), and (8, –4, −3) are coplanar. O O no yes
pls help! advanced math! write the complete solutions. will give upvote!
(Left nullspace) Add the extra column b and reduce A to echelon form: [1 2 3 [Ab] 4 5 6 bi 1 b₂ → 2 3 0-3 -6 7 8 9 b3 0 00 bi b2-4b₁ b3 - 2b2 + b₁ A combination of the rows of A has produced the zero row. What combination is it? (Look at b3 - 2b2+ b₁ on the right side.) Which vectors are in the nullspace of AT and which vectors are in the nullspace of A?
Which of the spacesC(A), C(U),N(A),N(U) are the same?
II. IDENTIFICATION. CIRLE 1. What is the center and radius of the equation x² + y² = 36? 2. What is the center and radius of the equation x² + y² − 8x + 10y + 25 = 0? 3. What is the center and radius of the equation x² + y² + 2x + 12y + 1 = 0? What is the center and radius of the equation x² + y² + 18x − 14y - 25 = 0? 4. 5. What is the center and radius of the equation 2x² + 2y² - 20x + 4y +50=0? 6. Compute for the standard equation of a circle whose center is located at c(0,0) and r=5. 7. Compute for the standard equation of a circle whose center is located at c(2,-3) and r=4. 8. Compute for the standard equation of a circle whose center is located at c(-3, -7) and r=7. 9. Compute for the standard equation of a circle whose center is located at c(5,7) and r=√10. 10. Compute for the standard equation of a circle whose center is located at c(1/2, −3/2) and F√15. =
The following question is from a linear algebra course, please show it step by step with explanation: "Determine the area of the triangle in R2 with vertices:(−1, 4),(3, 2),(0, 1)."
Create an example of two diagonal matricies D1 and D2 that are similar but should not be equal.
explain