Find the general solution of the linear system whose augmented matrix is[11 2 11{}]|4 49 55= 1 - 2x3=X4x1- 3-5x3 - 3x4= −1-x₂ + x4= 1- x4x2X3 and x4 are freeThe only solution is (-1, 0, 1, 0)x1X3x2 and X4The solution set is emptyare free

The given augmented matrix is: 1121144955 Find the Row-echelon form of the matrix.

Find the general solution of the linear system whose augmented matrix is 1 1 2 1 1] 4 4 9 5 5 x1 = 1-2x3 x4 = 3-5x3 - - 3x4 Candy are X2 = -1- x₂ + x4 = 1-4 O X3 x3 and 4 are free The only solution is (-1, 0, 1, 0) x1 X3 X2 and 4 are free

Find the general solution of the linear system whose augmented matrix is 1 1 2 1 1] 4 4 9 5 5 x1 = 1-2x3 x4 = 3-5x3 - - 3x4 Candy are X2 = -1- x₂ + x4 = 1-4 O X3 x3 and 4 are free The only solution is (-1, 0, 1, 0) x1 X3 X2 and 4 are free

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Systems Of Linear Equations

Section1.1: Introduction To Systems Of Linear Equations

Problem 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...

See similar textbooks

Related questions

Q: A patient is drinking 0.6 pint of orange juice every two hours. At this rate, how many quarts of…

Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric…

Q: 6. Solve the initial value problem y" + y = f(t), y(0)=y'(0) = 0, (21 if 0 1

Q: Show that the set of rational numbers Q is countably infinite, with |Q| = |N].

Q: Rewrite the following statements and their negations using quantifiers and symbols. Then, argue…

Q: 6. Solve the initial value problem y" + y = f(t), y(0)=y'(0) = 0, (21 if 0 1

Q: (This matrix represents contra-clockwise rotation by 45 degrees.)

A: As per the question we are given a 2×2 rotation matrix A and we have to express it in its…

Q: If two statements are logically equivalent You can rearrange one to get the other the columns for…

A: Introduction: Two expressions are logically comparable if all conceivable combinations of truth…

Q: Consider the function G below: G d e Z Select all statements below that are true: ORng(G) = (a, b,…

Q: Evaluate the iterated integral 1 y² [¹ [³* (4x + 10y) dady. Y O 11 10 O 11 10 O-1 0 1 O All of the…

A: Answer:- 1> D 2> A Explanation??

Q: Let L(y) = (x-1)y" - xy + y a) with the observation that y, zx is a solution of L(4)=0 on (1,000),…

Q: 2.Find the solution to dx using h=0.1 and h=0.05 Estimate the accuracy of second computation ²-y²,…

Q: Q4. Check to see if the following integrals converges. 1 Σ (b) Σ ek k=1 k (c) Στ k=s (k + 1)(In(k +…

Q: How can the unit circle help us find the exact values of trig expressions involving special angles?…

A: To show how trigonometric expressions can be found using Unit circle.

Q: 2. Q(-∞0) = 1 using the definition of error function.

Q: If a medication is supplied as 0.5gm in each tablet and you need to give 0.25gm how many tablets…

Q: b). Using an appropriate triple integral, evaluate the volume of: [V i). ii). z = V1-x² - y² r = sin…

A: please comment if you need any clarification. if you find my answer useful please put thumbs up.…

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = 1…

Q: 4. Let f(z) = cosh z. (3) Show that f: S→ f(S) is ono-to-one.

Q: Solve the linear programming problem Maximize z = 2x₁ + 9x2 subject to using the simplex method. 5x₁…

A: The given linear programming problem is: Maximize z=2x1+9x2, subject to…

Q: See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric…

Q: (laplace transform) 3u If L (e³t) = ¹, then L( e³u du) is... S-3'

Q: HW: solve heat eq. Ju at u (0₁ t) = du (πT₁ t) = 0 dx and I.C₁ u(x₁0) = 3 sin (SX) d'u ax² with…

A: We find the solution of homogenous heat equation by method of saperation of variable. In this method…

Q: Explain why g(x) = f(x), if x ≤2 0, if x > 2 is not differentiable at x = 2.

Q: A quantity V with magnitude |V 6, 680 was measured to 4 significant figures. Give an estimate of the…

A: Given a quantity V with magnitude V≈6,680 was measured to 4 significant figures.

Q: The cost, in dollars, of producing a cell phones is given by C'(x) = −0.06x² + 73x. C(219) C(218)…

A: Given Cx=-0.06x2+73x

Q: Give the points at which the given function will not be analytic. (Enter your answers as a…

Q: Find a least-squares solution of Ax=b by (a) constructing the normal equations for x and (b) solving…

Q: Q6. The points A(3, 4, 2) and B(3, 7, 2) are on a plane. If the plane also passes through the y axis…

Q: 3) Consider the curve C which is the intersection of the surfaces shown in the attached figure. 1 If…

Q: if the test point chosen makes the inequality statement falls then one should be sure to shade the…

A: Solution: In the given statement, it is given that if the test point chosen makes the inequality…

Q: Use two truth tables to show that each of the propositions are equivalent.

Q: . Find the inverse of the following matrix by using Gauss-Jordan eliminations 0 1 21 -1 2 3 1122₂₂…

Q: 1 Evaluate Inverse Matrix A-¹ = -1 -2 1 2 2 1 1 3

Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for R into an…

Q: The height y (in feet) of a ball thrown by a child is 1 y 2²+ 6x + 5 16 where is the horizontal…

Q: Suppose a population grows according to a logistic differential equation model. Its population in…

Q: Q4: Evaluate the surface area of the object obtained by rotating 1+ 1² dx x = √√√y +5, √5 ≤x≤ 3,…

Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. 1 4 -7 *-( *…

A: Given that X'=41396X+−710et. We have to solve the given nonhomogeneous system by using the method of…

Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: Given that The following table shows the daily receipts in millions of dollars for the movie…

Q: Use the Squeeze Theorem to show that lim x→0 x2 cos(16?x) = 0.

Q: Find the first 3 terms in the Maclaurin series for the function f(x) = sin²x

Q: Use two truth tables to show that each of the propositions are equivalent. d. ~(p v q) and ~p v ~q

A: Sol

Q: 1. If a= (-8, 2) and b=(-1,-7) the projection b on to a =......... 2. The inverse Laplace Transforms…

Q: [t²cos n=tdt 2 Solve the integration by table or zeroing method, then arrange the integral and the…

A: Sol

Q: 4. Let f(z) = cosh z. (3) Show that f: S→ f(S) is ono-to-one.

Q: Determine whether the statement is a tautology, self-contradiction, or neither. -PA (94-9)

Q: e given function is not = Re(z)

Q: If (a) is true, show that (b) and (c) are false, likewise if (b) holds then (a) and (c) do not hold…

Q: Using Taylor Series, show that sinr can be approximated by x-x within 0.01 on the interval [-1, 1].

Question

Find the general solution of the linear system whose augmented matrix is
[1
1 2 1
1
{}]
|4 49 5
5
= 1 - 2x3
=
X4
x1
- 3-5x3 - 3x4
= −1-x₂ + x4
= 1- x4
x2
X3 and x4 are free
The only solution is (-1, 0, 1, 0)
x1
X3
x2 and X4
The solution set is empty
are free

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by the parametric representation x1=t, x2=s and x3=3+st, where s and t are any real numbers. Then show that the solutions to the system can also be written as x1=3+st,x2=s and x3=t.
Solve the homogeneous linear system corresponding to the coefficient matrix. [121200242412]
If a system of linear equations has infinitely many solutions, then the system is called _____ . If a system of linear equations has no solution, then the system called ____.