MATH 551 Midterm: MATH 551 KSU Test F1 u05

• School: Kansas State University
• Department: Mathematics
• Course: MATH 551
• Professor: All

Document Summary

[1, 0, 1, 1, 0]t , [0, 1, 0, 2, 0]t , [2, 0, 0, 3, 4]t: the following matrices form an independent set. 5: if a1, a2, and a3 form an independent set of matrices, then at. 1. 4: a rank three system with three unknowns always has a solution, a rank three system with three unknowns can have an in nite number of solutions, the system below has an in nite number of solutions. 3x 4y + 7z + 6w + 8u + 5v = 0. 7x + 9y 2z 4w 5u + 2v = 0. 5x 5y + 9z + 3w + 2u + 7v = 0. 9x + 3y 9z + 5w 3u 4v = 0: in a system of ve equations in three unknowns, at least one of the equations must be dependent on the other equations in the system.