It looks like you're using TypeScript, so a couple pointers:

**Avoid `any`** - `any` effectively disables type-checking, which defeats the whole point of using TypeScript. Better to type variables properly:

```
let filtered: Array<{ name: string; condition_matrix: Array<number>; }> = [];
```

Or, even better, let TypeScript infer the types automatically when possible, by transforming the data *all at once* with array methods (see below). No need to denote types when TS can infer them automatically - eg `let isPossibility: boolean = true;` can be just `let isPossibility = true;`

**Avoid `let`, prefer `const`** - see [here](https://softwareengineering.stackexchange.com/questions/278652/how-much-should-i-be-using-let-vs-const-in-es6), using `const` indicates that the variable will never be reassigned, which reduces cognitive overhead.

**Semantic array methods** While `for` loops *work*, they should only be used as a last resort, when other array methods aren't appropriate. Here, rather than `break`ing inside a `for` loop to check if an item passes a condition, it would be better to use `.some`. Also, rather than `.push`ing to an outer array based on the condition, use `.filter` instead:

```
this.outputArray = originalArray.filter(
  item => this.selectedConditions.some(
    condition => item.condition_matrix.includes(condition)
  )
);
```

(Better to use `.includes` than to use an `indexOf` check against 0)

Or:

**Time complexity** If performance is an issue and you have a lot of conditions, rather than iterating all of the conditions each time, consider constructing a Set of all of the `selectedConditions` first; `Set#has` is `O(1)`, which is an improvement over iterating over arrays with `O(n)`.

```
const allConditions = new Set(this.selectedConditions);
```

**Conditions list typo?** The data structure in your code is an array of objects, but you're using `item.condition_matrix.indexOf( this.selectedConditions[i] )`. Did you mean:

```
item.condition_matrix.indexOf( this.selectedConditions[i].id )
```

?

(If so, and you want to use the Set method, map to IDs first:

```
const allConditions = new Set(
  this.selectedConditions.map(({ id ]) => id)
);
```

)