What is the minimum number of multiplications involved in computing the matrix product pqr? Matrix p has 4 rows and 2 columns, matrix q has 2 rows and 4 columns, and matrix r 4 rows and 1 column.
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Answer:Matrix multiplication is associative i.e no matter how we parenthesize.c 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,
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