Math 240 Midterm 1 Exam Questions
and Answers 100% Pass
If the augmented matrices of two linear systems are row equivalent, then - ✔✔the two
systems have the same solution set
Each matrix is row equivalent to one and only one - ✔✔reduced echelon matrix
If there are free variables, then - ✔✔solution is not unique and there are infinitely many
solutions
Is vector b in Span{v1,...vp} is asking - ✔✔whether x1v1+x2v2+...xpVp=b has a solution
Zero vector always in - ✔✔Span{v1,....vp}
Span{v} - ✔✔line through origin
span{u,v} - ✔✔plane through origin
True/False: THe set Span{u,v} is always visualized as a plan through the origin -
✔✔False bc u and v could be scalar multiples so just a line
100% Pass Guarantee Katelyn Whitman All Rights Reserved © 2025 1
and Answers 100% Pass
If the augmented matrices of two linear systems are row equivalent, then - ✔✔the two
systems have the same solution set
Each matrix is row equivalent to one and only one - ✔✔reduced echelon matrix
If there are free variables, then - ✔✔solution is not unique and there are infinitely many
solutions
Is vector b in Span{v1,...vp} is asking - ✔✔whether x1v1+x2v2+...xpVp=b has a solution
Zero vector always in - ✔✔Span{v1,....vp}
Span{v} - ✔✔line through origin
span{u,v} - ✔✔plane through origin
True/False: THe set Span{u,v} is always visualized as a plan through the origin -
✔✔False bc u and v could be scalar multiples so just a line
100% Pass Guarantee Katelyn Whitman All Rights Reserved © 2025 1
