> ## Documentation Index
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> Use this file to discover all available pages before exploring further.

> Computes the correlation matrix over N variables.

# corrMatrix

<h2 id="corrMatrix">
  corrMatrix
</h2>

Introduced in: v23.2.0

Computes the correlation matrix over N variables.

**Syntax**

```sql theme={null}
corrMatrix(x1[, x2, ...])
```

**Arguments**

* `x1[, x2, ...]` — One or more parameters for which to compute the correlation matrix over. [`(U)Int8/16/32/64`](/reference/data-types/int-uint) or [`Float*`](/reference/data-types/float)

**Returned value**

Returns the correlation matrix. [`Array(Array(Float64))`](/reference/data-types/array)

**Examples**

**Basic correlation matrix calculation**

```sql title=Query theme={null}
DROP TABLE IF EXISTS test;
CREATE TABLE test
(
    a UInt32,
    b Float64,
    c Float64,
    d Float64
)
ENGINE = Memory;
INSERT INTO test(a, b, c, d) VALUES (1, 5.6, -4.4, 2.6), (2, -9.6, 3, 3.3), (3, -1.3, -4, 1.2), (4, 5.3, 9.7, 2.3), (5, 4.4, 0.037, 1.222), (6, -8.6, -7.8, 2.1233), (7, 5.1, 9.3, 8.1222), (8, 7.9, -3.6, 9.837), (9, -8.2, 0.62, 8.43555), (10, -3, 7.3, 6.762);

SELECT arrayMap(x -> round(x, 3), arrayJoin(corrMatrix(a, b, c, d))) AS corrMatrix
FROM test
```

```response title=Response theme={null}
┌─corrMatrix─────────────┐
│ [1,-0.096,0.243,0.746] │
│ [-0.096,1,0.173,0.106] │
│ [0.243,0.173,1,0.258]  │
│ [0.746,0.106,0.258,1]  │
└────────────────────────┘
```