Question

Notify Me Bookmark

Determine if the given system is consistent. Do not completely solve the system. 3x1 + 6x3 = 12 x2 - 4x4 = 4 -2x2 + 6x3 + 3x4 = 4 6x1 + 9x4 = -2 Choose the correct answer below. A. The system is inconsistent because the system cannot be reduced to a triangular form. B. The system is consistent because the system can be reduced to a triangular form that indicates that no solutions exist C. The system is inconsistent because the system can be reduced to a triangular form that contains a contradiction. D. The system is consistent because the system can be reduced to a triangular form that indicates that a solution exists

Determine if the given system is consistent. Do not completely solve the system. 3x1 + 6x3 = 12 x2 - 4x4 = 4 -2x2 + 6x3 + 3x4 = 4 6x1 + 9x4 = -2 Choose the correct answer below. A. The system is inconsistent because the system cannot be reduced to a triangular form. B. The system is consistent because the system can be reduced to a triangular form that indicates that no solutions exist C. The system is inconsistent because the system can be reduced to a triangular form that contains a contradiction. D. The system is consistent because the system can be reduced to a triangular form that indicates that a solution exists

Image text
Determine if the given system is consistent. Do not completely solve the system. 3x1 + 6x3 = 12 x2 - 4x4 = 4 -2x2 + 6x3 + 3x4 = 4 6x1 + 9x4 = -2 Choose the correct answer below. A. The system is inconsistent because the system cannot be reduced to a triangular form. B. The system is consistent because the system can be reduced to a triangular form that indicates that no solutions exist C. The system is inconsistent because the system can be reduced to a triangular form that contains a contradiction. D. The system is consistent because the system can be reduced to a triangular form that indicates that a solution exists

Detailed Answer

2 0

Please enter your email here. You will get email when this question is answered by our tutor.

Answer
Doubtrix Logo

This Problem has been solved!

You'll get a detailed, step-by-step and expert verified solution.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Login Sign Up
  • Student Reviews:
  • (2)

Similar/Related Questions

Elementary row operations on an augmented matrix never change the solution set of the associated linear system. Determine whether the statement below is true or false. Justify the answer. Choose the correct answer below. A. The statement is false. Interchanging two rows never changes the solution set of the associated linear system. However, scaling a row by a nonzero constant can change the solution set of that system. B. The statement is true. Each elementary row operation replaces a system with an equivalent system. C. The statement is true. Elementary row operations are always applied to an augmented matrix after the solution has been found. D. The statement is false. Interchanging two rows never changes the solution set of the associated linear system. However, replacing one row by the sum of itself and a multiple of another row can change the solution set of that system.

Solution
1 0

As shown in Figure 3(a), a wooden block B with mass mB = 2.4 kg on a rough inclined plane is connected to a massless spring ( k = 160 N/m ) by a massless cord passing over a pulley P of radius R = 0.25 m and mass Mp = 0.60 kg. The angle of the inclined plane is θ = 37∘ and the coefficients of static and kinetic frictions are μs = 0.35 and μk = 0.30 respectively. The frictional force at the axle of the pulley is negligible. The pulley can be regarded as a solid disk. (a) The system is at rest and in this case, block B is on the verge of sliding down. Figure 3(a) i. Indicate (with labeled arrows) the forces acting on the pulley and the block. ii. Calculate the tension in the string and the extension of the spring. (You can assume that the tensions in the cord on either side of the pulley P are the same for this part.) (b) As shown in Figure 3(b), another wooden block A of mass mA = 1.2 kg made of the same material as block B is released from rest. It slides down a distance l down the rough inclined plane and collides with block B. The two blocks stick together and move down the incline with a common velocity v = 0.80 m/s immediately after collision and the pulley rotates. The cord does not stretch and does not slip on the pulley. Figure 3(b) i. Determine the distance l. ii. Determine the acceleration of the two blocks at the moment they move down together and the pulley starts to rotate. iii. Determine how much further down the slope the two blocks move together after they collide before the two blocks come to a momentary rest.
Solution
0 0

Suppose a 6 × 8 coefficient matrix for a system has six pivot columns. is the system consistent? Why or why not? Choose the correct answer below. There is at least one row of the coefficient matrix that does not have a pivot position. This means the augmented matrix, which will have nine columns, could have a row of the form [0 0 0 0 0 0 0 0 1], so the system could be inconsistent. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have seven columns and will not have a row of the form [0 0 0 0 0 0 1], so the system is consistent. There is a pivot position in each row of the coefficient matrix. The augmented matrix will have nine columns and will not have a row of the form 0 0 0 0 0 0 0 0 1], so the system is consistent.
Solution
1 0