Question

the rank of the scalar matrix of order n is ​

Answer 1

The rank of a matrix A ∈ ℝ m × n is equal to the order of its largest nonzero minor. Several important properties of rank are listed below. Indeed, taking in (2.19) first A and C to be appropriate size we obtain (2.20).

The rank of a matrix A ∈ ℝ m × n is equal to the order of its largest nonzero minor. Several important properties of rank are listed below. Indeed, taking in (2.19) first A and C to be appropriate size we obtain (2.20).