The least squares solution of the system of equations 3x+y−z=−3, x+2y=−3,y+2z=8 and x+12y−z=9 isA. (−1,2,1)B. (−1,2,3)C. (−1,2,0)D. (−1,2,4)Reset Selection

Question

The least squares solution of the system of equations 3x+y−z=−3, x+2y=−3,y+2z=8 and x+12y−z=9 isA. (−1,2,1)B. (−1,2,3)C. (−1,2,0)D. (−1,2,4)Reset Selection
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

To find the least squares solution of the system of equations, we first need to write the system in matrix form. The system of equations is:

3x + y - z = -3 x + 2y = -3 y + 2z = 8 x + 12y - z = 9

This can be written in matrix form as:

A = [[3, 1, -1], [1, 2, 0], [0, 1, 2], [1, 12, -1]] b = [-3, - Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

The least squares solution of the system of equations 3x+y−z=−3, x+2y=−3,y+2z=8 and x+12y−z=9 isA. (−1,2,1)B. (−1,2,3)C. (−1,2,0)D. (−1,2,4)Reset Selection

Considering 2x+y+z = 2, 4x+2y+2z = 4, x+y+z=3 , which of the following options is true?

Solve the system of linear equations by matrix method2x – 3y + 5z = 11 , 3x +2y –4z = –5 , x + y –2z = – 3

The least squares solution of the system of equations x+y=1, x+2y=3,x+3y=3 and x+4y=5 isA. (0,1.2)B. (0,1.3)C. (0,1.1)D. (1,0)

Find the second derivative of the function*y''= x^4 -2(x^3 ) + x^2y' = 24x - 12y''= 12x^2 -12x + 2y''= 4x^3 - 6x^2 + 2x

1/3