Final answer:
A matrix in reduced row-echelon form must satisfy specific conditions related to leading entries and positioning. The provided matrix details are unclear, but the concept of RREF has been explained in relation to a well-formatted matrix.
Step-by-step explanation:
The matrix given in the question appears to be formatted incorrectly, but based on the concept in question, we can discuss the reduced row-echelon form. A matrix is in reduced row-echelon form (RREF) if it meets the following conditions:
- The leftmost nonzero entry of each row, called a leading entry, is 1.
- Each leading 1 is the only nonzero entry in its column.
- The leading entry in a row is to the right of the leading entry in the row above it.
- Rows with all zero elements, if any, are at the bottom of the matrix.
If a matrix satisfies all these conditions, it is in RREF. If even one of these conditions is not met, the matrix is not in RREF. Without seeing the exact matrix format, it's impossible to say definitively whether the matrix in question meets these criteria, but we can evaluate a correctly formatted matrix. For example, the following matrix:
[1 0 0 | 1]
[0 1 0 | 2]
[0 0 1 | 3]
is in reduced row-echelon form because it satisfies all the conditions listed above.