- #1
MathewsMD
- 433
- 7
If you have two arbitrary matrices, A and B, I was wondering if row operations can be performed in any order to produce the same results.
For example, you perform elementary row operations on A to produce A', then do A' - B, then also produce a new matrix through elementary row operations on this new matrix to produce a new matrix C.
Can matrix C still be obtained by doing A (not A') - B, and then performing row operations? By performing row operations, the matrix is still remained intact, correct? There's no distortion of the row space, right?
For example, you perform elementary row operations on A to produce A', then do A' - B, then also produce a new matrix through elementary row operations on this new matrix to produce a new matrix C.
Can matrix C still be obtained by doing A (not A') - B, and then performing row operations? By performing row operations, the matrix is still remained intact, correct? There's no distortion of the row space, right?