Linear Algebra·matrix-rank-determination

Matrix Rank Determination

Calculate the rank of a matrix based on the dimension of its null space.

✓ All 2 test cases pass.

Inputs

Dimension of Null Space

The number of vectors in the basis of the null space.

Number of Rows in A

The number of rows in the matrix A.

Number of Columns in A

The number of columns in the matrix A.

Test cases

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#	Inputs	Expected	Got	Status
1	{"null_space_dimension":5,"matrix_rows":4,"matrix_columns":8}	3	3	✓
2	{"null_space_dimension":2,"matrix_rows":3,"matrix_columns":5}	3	3	✓

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Endpoint

POST/api/calculators/linear-algebra/matrix-rank-determination/compute

Inputs (3)

null_space_dimensionintegerdefault 0
matrix_rowsintegerdefault 4
matrix_columnsintegerdefault 8

Example

curl -sX POST http://localhost:3001/api/calculators/linear-algebra/matrix-rank-determination/compute \
  -H "Content-Type: application/json" \
  -d '{"inputs":{"null_space_dimension":0,"matrix_rows":4,"matrix_columns":8}}'

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 D (Solution).pdf. Reproduces a standard matrix-rank-determination computation; problem text paraphrased.

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