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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

2. Matrix Multiplication

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Exercise 32 Page 778

Consider the number of columns of the first matrix and the number of rows of the second one. Are they equal? What does it mean?

The product does not exist.

Practice makes perfect

We can multiply two matrices only if the number of columns of the first matrix is equal to the number of rows of the second matrix. Moreover, when multiplying matrices A and B, the resulting matrix will have as many rows as A and as many columns as B.

Let's now consider the dimensions of the given matrices. H_(2* 1) * G_(2* 2) Since 1 ≠ 2, the number of columns of matrix F is not equal to the number of rows of matrix G. Therefore, the matrix product does not exist.

Subchapter links

Lesson Check p.777

Practice and Problem-Solving Exercises p.777-779

Standardized Test Prep p.779

Mixed Review p.779