Today: Class Announcements Class Announcements PLAN Practice PLAN Practice 4.1 Notes 4.1 Notes Begin Homework Begin Homework Show Chapter 3 Test Scores.

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Presentation transcript:

Today: Class Announcements Class Announcements PLAN Practice PLAN Practice 4.1 Notes 4.1 Notes Begin Homework Begin Homework Show Chapter 3 Test Scores Show Chapter 3 Test Scores

Vocabulary: entry, scalar multiplications Objectives: Identify the characteristics of a matrix Add and subtract matrices Multiply scalars Solve a matrix equation

Anatomy of a Matrix (Matrices) Identifying the dimensions of a matrix: # of Rows x # of Columns Rows Columns

A is a 2x3 matrix Identify this matrix: B is a 2x2 matrix Anatomy of a Matrix (Matrices)

Identify this matrix: C is a 3x5 matrix A is a 2x3 matrix Anatomy of a Matrix (Matrices)

Identify this matrix: D is a 4x3 matrix A is a 2x3 matrix Anatomy of a Matrix (Matrices)

Identify this matrix: column matrix A is a 2x3 matrix Anatomy of a Matrix (Matrices)

Identify this matrix: row matrix A is a 2x3 matrix Anatomy of a Matrix (Matrices)

Identify this matrix: square matrix A is a 2x3 matrix Anatomy of a Matrix (Matrices)

Identify this matrix: zero matrix A is a 2x3 matrix Anatomy of a Matrix (Matrices)

Matrices are equal if they are the same size and each entry is equal. Anatomy of a Matrix (Matrices)

a = 6 b = 0 c = 2 Anatomy of a Matrix (Matrices) Find a, b, and c if A = J.

Matrices are equal if they are the same size and each entry is equal. Anatomy of a Matrix (Matrices)

x = 0 y = 5 z = 3 Find x, y, and z if A = K. Anatomy of a Matrix (Matrices)

Adding and Subtracting Matrices To add or subtract matrices: 1.Matrices same size 2.Add/subtract same entries Find:L + M

Find:M + N Not possible; sizes not equal To add or subtract matrices: 1.Matrices same size 2.Add/subtract same entries Adding and Subtracting Matrices

Find:N + R Not possible; sizes not equal To add or subtract matrices: 1.Matrices same size 2.Add/subtract same entries Adding and Subtracting Matrices

Find:M – R To add or subtract matrices: 1.Matrices same size 2.Add/subtract same entries Adding and Subtracting Matrices

Find:P – L Not possible; sizes not equal Add and Subtracting Matrices To add or subtract matrices: 1.Matrices same size 2.Add/subtract same entries

Find:Q – N Add and Subtracting Matrices To add or subtract matrices: 1.Matrices same size 2.Add/subtract same entries

Multiply Scalars To multiply a scalar: 1.Multiply the scalar with every entry Perform the scalar multiplication:

Solving a Matrix Equation To solve a matrix equation: 1.Simplify both sides of the equation. 2.Set up equations and solve 3.Present answers 4.Check Solve: x = 6, y = -2

To solve a matrix equation: 1.Simplify both sides of the equation. 2.Set up equations and solve 3.Present answers 4.Check Solve: x = 10, y = 2 Solving a Matrix Equation

Assignment: pgs #15-17, 29, 30, 34, 35 pgs #15-17, 29, 30, 34, Quiz on Tuesday, October 30 th Quiz on Tuesday, October 30 th