# C943 — Aggregate projection kernel

## Question

What aggregate information can original and reversed totals determine?

## Inputs

```json
{
  "rows": [
    [
      100,
      10,
      1
    ],
    [
      1,
      10,
      100
    ]
  ]
}
```

## Sources

```json
[
  "C938",
  "C942"
]
```

## Opened utc

2026-09-28T03:42:45.381897+00:00

## Results

```json
{
  "rank": 2,
  "primitive_integer_kernel": [
    10,
    -101,
    10
  ],
  "kernel_products": [
    0,
    0
  ],
  "nonzero_minor": 990
}
```

## Finding

The two measurements have rank two over rational aggregate coordinates, with kernel (10, −101, 10).

## Reassessment

Apply the finite digit bounds before concluding that a free aggregate parameter remains.

## Checks

```json
{
  "annihilation": true,
  "rank_two": true
}
```

## Closed utc

2026-09-28T03:42:45.382664+00:00

## Record provenance

Exact record hash: `b7d12ea7f3d307a5f32686493207ee1d0aa6e7ce3900bed358c963f710abe77d`

Source journal: `Research_Cycles/C0932_C1131/journal.json`