- #1
Castilla
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Hello, guys. Last week I have begin my study of linear algebra from cero. I am learining about the basics of matrices.
Please, I would like to know if this is ok:
1. Let "In" be the identity matrix (n x n).
2. Let "e1" be an elementary row operation such that, applied to In, we obtain the elementary matrix E1.
3. Let "e2" be another elementary row operation such that, applied to E1, we obtain the elementary matrix E2.
4. Let A be an n x n matrix.
Then, if we apply "e1" to A, we obtain the matrix E1A, and if we apply "e2" to this last one, we obtain the matrix E2E1A.
Thanks for confirmation (or correction) of this proposition.
Please, I would like to know if this is ok:
1. Let "In" be the identity matrix (n x n).
2. Let "e1" be an elementary row operation such that, applied to In, we obtain the elementary matrix E1.
3. Let "e2" be another elementary row operation such that, applied to E1, we obtain the elementary matrix E2.
4. Let A be an n x n matrix.
Then, if we apply "e1" to A, we obtain the matrix E1A, and if we apply "e2" to this last one, we obtain the matrix E2E1A.
Thanks for confirmation (or correction) of this proposition.