Linear Algebra·null-space

Null Space

Determine if the null space of a given matrix is a subspace of the appropriate vector space based on its dimensions.

✓ All 2 test cases pass.

Inputs

Matrix A

The matrix for which the null space is being evaluated.

Number of Rows

The number of rows in the matrix A.

Number of Columns

The number of columns in the matrix A.

Test cases

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#	Inputs	Expected	Got	Status
1	{"matrix_A":[[1,2],[3,4]],"num_rows":2,"num_columns":2}	false	false	✓
2	{"matrix_A":[[1,2,3],[4,5,6]],"num_rows":2,"num_columns":3}	true	true	✓

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Endpoint

POST/api/calculators/linear-algebra/null-space/compute

Inputs (3)

matrix_Amatrixdefault [[1,2,3],[4,5,6]]
num_rowsintegerdefault 2
num_columnsintegerdefault 3

Example

curl -sX POST http://localhost:3001/api/calculators/linear-algebra/null-space/compute \
  -H "Content-Type: application/json" \
  -d '{"inputs":{"matrix_A":[[1,2,3],[4,5,6]],"num_rows":2,"num_columns":3}}'

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 null-space computation; problem text paraphrased.

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