pythonで掛け算をしたいです。

Question

前提
次のような一次元リストと二次元リストの掛け算の仕方が分かりません。

mochimochi = [5, 1, 2]
columns = [
    [0.3, 0.5, 0.6],
    [0.2, 0.5, 0.6],
    [0.5, 0.7, 0.9],
    [0.4, 0.8, 0.2],
    [0.0, 0.1, 0.9]
]

これらのリストを以下のような計算ルールで計算したいです。

mochimochi[0]*columns[0][0]+mochimochi[1]*columns[0][1]+mochimochi[2]*columns[0][2] = 5*0.3 + 1*0.5 + 2*0.6 = 3.2
mochimochi[0]*columns[1][0]+mochimochi[1]*columns[1][1]+mochimochi[2]*columns[1][2] = 5*0.2 + 1*0.5 + 2*0.6 = 2.7
mochimochi[0]*columns[2][0]+mochimochi[1]*columns[2][1]+mochimochi[2]*columns[2][2] = 5*0.5 + 1*0.7 + 2*0.9 = 5.0
mochimochi[0]*columns[3][0]+mochimochi[1]*columns[3][1]+mochimochi[2]*columns[3][2] = 5*0.4 + 1*0.8 + 2*0.2 = 3.2
mochimochi[0]*columns[4][0]+mochimochi[1]*columns[4][1]+mochimochi[2]*columns[4][2] = 5*0.0 + 1*0.1 + 2*0.9 = 1.9 

試したこと

mochimochi = [5, 1, 2]
columns = [
    [0.3, 0.5, 0.6],
    [0.2, 0.5, 0.6],
    [0.5, 0.7, 0.9],
    [0.4, 0.8, 0.2],
    [0.0, 0.1, 0.9]
]

for mochi in mochimochi:
    for column in columns:
        for colum in column:
            print(mochi*colum)

#出力結果
1.5
2.5
3.0
1.0
2.5
3.0
2.5
3.5
4.5
2.0
4.0
1.0
0.0
0.5
4.5
0.3
0.5
0.6
0.2
0.5
0.6
0.5
0.7
0.9
0.4
0.8
0.2
0.0
0.1
0.9
0.6
1.0
1.2
0.4
1.0
1.2
1.0
1.4
1.8
0.8
1.6
0.4
0.0
0.2
1.8

よろしくお願いします。

Answer 1

mochimochi = [5, 1, 2]
columns = [
    [0.3, 0.5, 0.6],
    [0.2, 0.5, 0.6],
    [0.5, 0.7, 0.9],
    [0.4, 0.8, 0.2],
    [0.0, 0.1, 0.9]
]

a = []
for c in columns:
	b = 0
	for i in range(3):
		b += mochimochi[i] * c[i]
	a.append(float(f'{b:.15g}'))

print(a)

Answer 2

import math

mochimochi = [5, 1, 2]
columns = [
    [0.3, 0.5, 0.6],
    [0.2, 0.5, 0.6],
    [0.5, 0.7, 0.9],
    [0.4, 0.8, 0.2],
    [0.0, 0.1, 0.9]
]

result = [sum(map(math.prod, zip(c, mochimochi))) for c in columns]
print(result)

Answer 3

mochimochi = [5, 1, 2]
columns = [
    [0.3, 0.5, 0.6],
    [0.2, 0.5, 0.6],
    [0.5, 0.7, 0.9],
    [0.4, 0.8, 0.2],
    [0.0, 0.1, 0.9]
]


import numpy as np

A = np.array(columns)
x = np.array(mochimochi)

print(A@x)