Question

Find the nullity of the matrix A =
|1 2 3 0|
|2 4 3 2|
|3 2 1 3|
|6 8 7 5|​

Answer 1

Answer:

ow do you find the nullity of a matrix?

The rank of A equals the number of nonzero rows in the row echelon form, which equals the number of leading entries. The nullity of A equals the number of free variables in the corresponding system, which equals the number of columns without leading entries.