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Assume two matrices are to be multiplied (the generalization to any number is discussed below). Arithmetic process of multiplying numbers (solid lines) in row i in matrix A and column j in matrix B, then adding the terms (dashed lines) to obtain entry ij in the final matrix.

If A is an n × m matrix and B is an m × p matrix, the matrix product AB

where each i, j entry is given by multiplying the entries Aik (across row i of A) by the entries Bkj (down column j of B), for k = 1, 2, ..., m, and summing the results over k:

Thus the product AB is defined only if the number of columns in A is equal to the number of rows in B, in this case m. Each entry may be computed one at a time.

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Q: What multiplication fact can be found by using arrays for 2 times 9 and 5 times 9?

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7x9

3 times 9 and 7 times 9.

9+9 and 9+9+9+9+9

Using multiplication 40 times 45 = 1800

They both cannot be

Related questions

7x9 is the multiplication fact that can be found using the arrays 2x9 and 5x9.

7x9

3 times 9 and 7 times 9.

You can see that multiplication works both ways: 2x9=18 9x2=18 5x9=45 9x5=45 Arrays are also helpful in seeing the inverse relationship between multiplication and division.

The multiplication fact (singular, not plural 'facts') that can be found is 7x9 = 63. Using the arrays, a 2x9 array (2 rows of 9 items) and 5x9 array (5 rows of 9 items) is 63: 2x9 = 18 5x9 = 45 18 + 45 = 63

9+9 and 9+9+9+9+9

Some common multiplication strategies include the Latis Strategy, The Algebra Strategy, and the Stacking Strategy.

10 x 5?

9

Using multiplication 40 times 45 = 1800

They both cannot be

3 times 35 equals 105