Question

17. There are three mortices P(4 x 2), Q(2 x 4) and
R = (4 X 1) minimum of multiplication required to
compute matrix PQR is
A. 10
B. 12
C. 16
D. 18

Answer 1

Step-by-step explanation:

consider matrix A and B of order m×n,n×p respectively then the no.of multiplication of A & B will be m×n×p…now let's take ur case we can compute PQR as (PQ)R =(QR)p

For (PQ)R the no.of multiplication required would be 4×2×4 to get PQ and then 4×4×1 this is for PQ with R so total 4×2×4+4×4×1=48,

For QR first and then p

2×4×1+4×2×1=16so to compute PQR minimum of multiplication required is 16

So ans C is correct