Algebra 2 Tuesday 11 11 14 Warmups complete

Algebra 2 Tuesday, 11 -11 -14 • Warm-ups … complete slide below • Discussion/Notes/Guided Practice • Section 4. 3 Multiplying Matrices • Assignment: A#4. 3 Page 182 #14 -19 all, 20 -26 even Today, you will be able to: Success Criteria: n Determine if matrix products are defined n Q&A n Identify the dimensions of a matrix product n Guided Practice n Multiply Matrices n Homework Quiz Friday 11/14 Sections 4. 1 – 4. 3

Warm Ups

Multiply Matrices You can multiply two matrices IF AND ONLY IF the number of _______ in the first matrix is __________ the number of _______ in the second matrix. When you multiply two matrices Am x n and Bn x r, the resulting matrix AB is an _____ matrix. Example: Dimensions of Matrix Products Determine whether each matrix product is defined. If so, state the dimensions of the product. 1. A 4 x 6 and B 6 x 2 2. A 3 x 2 and B 3 x 2

Guided Practice: Dimensions of Matrix Products Determine whether each matrix product is defined. If so, state the dimensions of the product. 1. A 3 x 4 and B 4 x 2 3. A 3 x 5 and B 5 x 2 2. A 3 x 2 and B 4 x 3 4. X 2 x 3 and Y 2 x 3 5. R 3 x 2 and S 2 x 22

Multiply Matrices a 1 a 2 b 1 b 2 * x 1 x 2 y 1 y 2 = a 1 x 1 + b 1 x 2 a 2 x 1 + b 2 x 2 a 1 y 1 + b 1 y 2 a 2 y 1 + b 2 y 2

Example: Multiply Matrices •

Guided Practice: Multiply Matrices •

Example: Multiply Matrices •

Guided Practice: Multiply Matrices •

A#4. 3 Page 182 #14 -19 all, 20 -26 even