Linear Algebra·linear-independence

Linear Independence

Assess whether a set of vectors is linearly independent based on their relationships and the dimensions of the matrix they form.

✓ All 2 test cases pass.

Inputs

Matrix A

The matrix formed by the vectors to check for linear independence.

Number of Vectors

The number of vectors in the set.

Test cases

These cases run live in your browser every time the page loads. If any fail, the calculator is broken — file an issue.

#	Inputs	Expected	Got	Status
1	{"matrix_A":[[1,2],[2,4]],"num_vectors":2}	false	false	✓
2	{"matrix_A":[[1,0],[0,1]],"num_vectors":2}	true	true	✓

APIDeveloper APICall this calculator from codeexpand ↓

Endpoint

POST/api/calculators/linear-algebra/linear-independence/compute

Inputs (2)

matrix_Amatrixdefault [[1,2],[2,4]]
num_vectorsintegerdefault 2

Example

curl -sX POST http://localhost:3001/api/calculators/linear-algebra/linear-independence/compute \
  -H "Content-Type: application/json" \
  -d '{"inputs":{"matrix_A":[[1,2],[2,4]],"num_vectors":2}}'

Try it live

Edit the body below, then click Call API.

Request body

Response

(click Call API to see the response)

full API docs →

Source: Pattern from: Test 2-08 Version B (Solution).pdf. Reproduces a standard linear-independence computation; problem text paraphrased.

AI disclosure: Calculator code generated by openai/gpt-4o-mini-2024-07-18; verified by 2 test cases.