# C1152 — Define the row-operation basis

## Question

Can every compatible change in begetting, remainder and lifespan be written with two explicit operations?

## Inputs

```json
{}
```

## Sources

```json
[
  "Strategy §§3.2,5B",
  "C1151"
]
```

## Opened utc

2026-09-28T05:05:28.953365+00:00

## Results

```json
{
  "row_basis": {
    "path": "model/row_operation_basis.json",
    "sha256": "d5890c1fc31751f0260af97c1b982841593fe6ecf28fd42cf503922eb04be8e2",
    "bytes": 385
  },
  "basis_matrix": [
    [
      1,
      0
    ],
    [
      -1,
      1
    ],
    [
      0,
      1
    ]
  ],
  "rank": 2
}
```

## Finding

Two row operations describe every compatible source change uniquely: transfer between begetting and remainder while preserving life, then change remainder and life together while preserving begetting. Their equal-amplitude combination preserves remainder.

## Reassessment

Place the complete post-Flood inter-tradition changes in this basis.

## Checks

```json
{
  "rank2": true,
  "compatibility": true,
  "integer_recovery": true
}
```

## Closed utc

2026-09-28T05:05:28.954071+00:00

## Record provenance

Exact record hash: `b2bace0b362b12ce38bac81c85f32a17a9465b57fd5a114378f13746ff789d9d`

Source journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`