- #1
jtruth914
- 21
- 0
True or False. If true explain or prove answer, and if false give an example to show the statement is not always true.
1. If A is a 4x4 matrix and a1+a2=a3+2a4, then A must be singular.
2. If A is row equivalent to both B and C, then A is row equivalent to B+C.
My Work:
1. I say it's False because A is nonsingular. But I don't know how to show an example of it.
2. I say it's False. I know that If A is row equivalent to B, and B is row equivalent to C, then A is row equivalent to C. I don't know how to show an example for 2 neither.
1. If A is a 4x4 matrix and a1+a2=a3+2a4, then A must be singular.
2. If A is row equivalent to both B and C, then A is row equivalent to B+C.
My Work:
1. I say it's False because A is nonsingular. But I don't know how to show an example of it.
2. I say it's False. I know that If A is row equivalent to B, and B is row equivalent to C, then A is row equivalent to C. I don't know how to show an example for 2 neither.