Answer:
- T . . . labeling shown below
- U
- R
- S
Step-by-step explanation:
Matrix multiplication of A(a rows, b columns) and B(b rows, c columns) will result in a product matrix of AB(a rows, c columns). This fact can be used to reduce the number of candidates for each product.
For the given factor tiles, the resulting product dimensions will be ...
[2, 3] [3, 2] [2, 2] ⇒ Q, R, S
[2, 3] [3, 3] [3, 2] ⇒ T, U, V
[3, 3] ⇒ W
1. For this 2×3 product, candidates are Q and T. The upper left term for the product in Q is (2)(3) +(1)(7) +(0)(8) = 13. The appropriate choice is T.
2. For this 3×3 product, candidates are U and W. The upper left term for the product in U is 9(2) +1(2) +9(5) +5(1) = 18 +2 +45 +5 = 70. The appropriate choice is U.
3. For this 3×2 product, candidates are R and V. The upper left term for the product in R is 1(4) +2(0) +4(1) = 4 +0 +4 = 8. The appropriate choice is R.
4. For this 2×2 product, there is only one candidate: S.
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