The solution space for this system is a subspace of R and so must be a line through the origin, a plane through the origin, all of R°, or the origin only. For the given system, determine which is the case. If the subspace is a plane, find an equation for it, and if it is a line, find parametric equations. 5х - 6y + z = 0 15x 18y + 3z -10x + 12y 2z O The solution space is the line x = - 5t, y = 6t, z = 0. O The solution space is the plane 5x - 6y+z=0. O The solution space is the origin only. O The solution space is the plane 6x + 5y – z = 0. O The solution space is all of R°.

The solution space for this system is a subspace of R and so must be a line through the origin, a plane through the origin, all of R°, or the origin only. For the given system, determine which is the case. If the subspace is a plane, find an equation for it, and if it is a line, find parametric equations. 5х - 6y + z = 0 15x 18y + 3z -10x + 12y 2z O The solution space is the line x = - 5t, y = 6t, z = 0. O The solution space is the plane 5x - 6y+z=0. O The solution space is the origin only. O The solution space is the plane 6x + 5y – z = 0. O The solution space is all of R°.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Matrices And Determinants

Section: Chapter Questions

Problem 4CC

See similar textbooks

Similar questions

What is a system of linear equations in the variables x, y, and z?
Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the system have exactly one solution?
Can any matrix be written as a system of linear equations? Explain why or why not. Explain how to write that system of equations.

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning