Question

Let P = {} be a 50 × 50 matrix, where = min{,}, ,= 1, . . 50, then rank of p is​

Answer 1

Answer :

For the matrix P (m * n), rank<= min{ m,n}

Similarly for matrix Q (n * p), rank <= min{n , p}

Now, the rank of PQ <= min {rank of P ,rank of Q}

=> rank (PQ) <= min{ min {m,n} ,min{n,p}}

=> rank (PQ) <= min {m, n, p}