Simplify the Matrix [[1,0,4,1],[0,1,4,1]]

Problem

[[1,0,4,1],[0,1,4,1]]

Solution

1. Identify the current form of the matrix. The matrix is a 2×4 matrix.

2. Check for Reduced Row Echelon Form (RREF) criteria. The first non-zero entry in each row (the pivot) is 1

3. Verify pivot columns. The pivot for the first row is in column 1, and the pivot for the second row is in column 2. Both pivots are the only non-zero entries in their respective columns.

4. Observe the ordering. The pivot of the second row is to the right of the pivot of the first row.

5. Conclude that the matrix is already in its simplest form, which is Reduced Row Echelon Form.

Final Answer

[[1,0,4,1],[0,1,4,1]]=[[1,0,4,1],[0,1,4,1]]

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