Final answer:
The linear independence of a matrix cannot be checked using an online tool. It requires manual steps like row reduction and rank calculation.
Step-by-step explanation:
A test of independence determines whether two factors are independent. The test of independence for a matrix is different from the test of independence for categorical variables. To check the linear independence of a matrix, you need to perform operations like row reduction, calculate the rank of the matrix, and check if the rank is equal to the number of rows or columns. An online tool may not directly check the linear independence of a matrix, so it is better to perform the steps manually.