Question: Solve the following linear systems using the inverse matrix method: X- z = 5 2x +4y-z = 5 4x-2y + 5z= 3

Solve the following linear systems using the inverse matrix method: X- z 

Solve the following linear systems using the inverse matrix method: X- z = 5 2x +4y-z = 5 4x-2y + 5z= 3

Step by Step Solution

★★★★★

3.41 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

2- A rigid tank contains 0.5 kg of oxygen (O,) initially at 30 bar and 200 K. The gas is cooled and the pressure drops to 20 bar. Determine the volume of the tank, in m', and the final temperature,...

Q:

Solve the following linear systems using the inverse matrix method: X +3y + 2z = 3 2x -y-3z = -8 5x + 2y + z = 9

Q:

Solve the following linear systems using the inverse matrix method: 2x-y+ 3z = 3 4x+2y-2z 2 6 - + z%3D 9

Q:

Find the first two iterations of the Jacobi method for the following linear systems, using x(0) = 0: a. 4x1 + x2 x3 = 5, x1 + 3x2 + x3 = 4, 2x1 + 2x2 + 5x3 = 1. b. 2x1+ x2 + 1/2 x3 = 4, x12x2 - 1/2...

Q:

Find the first two iterations of the SOR method with = 1.1 for the following linear systems, using x(0) = 0: a. 4x1 + x2 x3 = 5, x1 + 3x2 + x3 = 4, 2x1 + 2x2 + 5x3 = 1. b. 2x1+ x2 + 1/2 x3 = 4,...

Q:

The two-by-two linear system ax + by = e, cx + dy = f , Where a, b, c, d, e, f are given, can be solved for x and y as follows: Set m = c/a , provided a 0; d1 = d mb; f1 = f me; y = f1/d1; x = (e ...

Q:

The two-by-two linear system ax + by = e, cx + dy = f , Where a, b, c, d, e, f are given, can be solved for x and y as follows: Set m = c/a, provided a 0; d1 = d mb; f1 = f me; y = f1/d1; x = (e ...

Q:

Find the row interchanges that are required to solve the following linear systems using Algorithm 6.1. a. x1 5x2 + x3 = 7, 10x1 + 20x3 = 6, 5x1 x3 = 4 b. x1 + x2 x3 = 1, x1 + x2 + 4x3 = 2, 2x1 x2...

Q:

Solve each of the following systems using the inverse matrix method. 1 + 22 + 0 d. 2x1 + 5x2 + 3x3 = 1 Xi + 8x3 = -1

Q:

Find the first two iterations of the Jacobi method for the following linear systems, using x(0) = 0: a. 3x1 x2 + x3 = 1, 3x1 + 6x2 + 2x3 = 0, 3x1 + 3x2 + 7x3 = 4. b. 10x1 x2 = 9, x1 + 10x2 2x3 =...

Q:

Lubricants, Incorporated, produces a special kind of grease that is widely used by race car drivers. The grease is produced in two processing departmentsRefining and Blending. Raw materials are...

Q:

On January 1, 20X1, Porta Corporation purchased Swick Company's net assets and assigned goodwill of $80,100 to Reporting Division K. The following assets and liabilities are assigned to Reporting...

Q:

SARAD 09 (Photo courtesy of Caterpillar) A re-seller of mining machinery, located in Stratford, Ontario, calls a CIFFA Forwarder, inquiring about shipping a used Caterpillar Grader, to Vina del Mar,...

Q:

Report on the engagement activities that have occurred with your group during the term and share your personal/individual plans to continue interactions beyond the course. Produce either a text...

Q:

A short, cantilevered round peg is 40 mm in diameter and extends 10 mm from the wall. It is loaded, as shown, with a force F = 50 kN applied at the tip in the negative z direction, and a torque T=...

Q:

11. Todd fractured his wrist while he was Rollerblading. To relieve the pain, his doctor suggested that he take 500 mg of aspirin every 6 h. At this rate, only 26% of the aspirin remains in his body...

Q:

double score = 8 0 . 0 ; Considering the line of code above, choose the BEST answer. The expression score 2 2 will result in integer division division floating - point division concatenation

Q:

Apply Jacobis method to the given system. Take the zero vector as the initial approximation and work with four-significant-digit accuracy until two successive iterates agree within 0.001 in each...

Q:

Prove that the norm on R2 does not come from an inner product. Hint: Look at Exercise 3.1.12.

Q:

Prove ph (z/w) = ph z - ph w = ph (z-w) is equal to the angle between the vectors representing z and w.

Q:

(a) Show that if y12 + y22 + y23. + y42 = 1, then the matrix is a proper orthogonal matrix. The numbers y1, y2, y3, y4 are known as Cayley-Klein parameters. (b) Write down a formula for Q-1. (c)...

Q:

Tom Sharkey is the owner of Sharkey Chevy, Buick, GMC. At the start of the year, Tom instituted a customer opinion program to find ways to improve service. The day after the service is performed,...

Q:

Inter State Moving and Storage Company is setting up a control chart to monitor the proportion of residential moves that result in written complaints due to late delivery, lost items, or damaged...

Q:

The table below shows the unemployment rate and the available workforce for three counties in northwest Pennsylvania for May 2010 and April 2013. a. In May 2010, the national unemployment rate was...