4.1 Matrices – Basic Operations

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Presentation transcript:

4.1 Matrices – Basic Operations Tuesday, October 11, 2016

4.1 Matrices - Basic Operations 4.1 Lesson Objectives I can… Find the dimensions of a matrix. Add, subtract matrices and multiply by a scalar. Determine when matrices can be multiplied and multiply matrices. Solve matrix equations.

A matrix is a ________________________________________ enclosed in a single set of brackets The dimensions of a matrix are given ___________________. Each number in a matrix is called an entry or element. The location of an entry in matrix M is denoted Ex 1: A = 2 3 −5 7 −1 0 Find the dimensions of matrix A. Find a12. Give the entry location for the number 0.

Two matrices are equal if and only if they have the same dimensions and all corresponding entries are equal. Ex 2:

To Add or Subtract matrices, add/subtract corresponding entries To Add or Subtract matrices, add/subtract corresponding entries. (The matrices must have the same dimensions.) Ex 3:

Scalar multiplication - To multiply a matrix by a real number, k, multiply each entry by k. Ex. 4:

Ex. 5:

Ex. 6: