Question

Please don't leave half an answer for the points!

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each pair of matrices with its product matrix.


There is a 4th tile to match with is:

AB= [38 55]
[42 80]​

Answer 1

Answer:

1. T . . . labeling shown below
2. U
3. R
4. 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.