Matrices

Presentation

•

Mathematics

•

12th Grade

•

Easy

•

CCSS

HSA.REI.C.9

Standards-aligned

��zzat Ahmedov

Used 40+ times

FREE Resource

12 Slides • 12 Questions

Matrices

Equal matrices. Operations on matrices

Poll

How do we call horizontal lines in matrices?

Row

Column

Poll

How do we call vertical lines in matrices?

row

column

Poll

What is the dimension of the given matrix?

5x4

4x5

Poll

What are $d_{13},\ d_{42},\ d_{24}$ for the given matrix?

4,-3, -1

-4, -1, -3

Poll

How do we call a matrix with same number of rows and columns

Row matrix

column matrix

Rectangular matrix

Square matrix

Poll

How do we call a matrix with different number of rows and columns?

Square matrix

rectangular matrix

identity matrix

Diagonal matrix

Poll

How do we call a square matrix whose main diagonal elements are 1 and whose other elements are all zero.

Identity matrix

lower triangular matrix

upper triangular matrix

Scalar matrix

Poll

How do we call a square matrix in which all the entries below the main diagonal are zero

Lower triangular matrix

upper triangular matrix

scalar matrix

diagonal matrix

Objectives of the lesson:

understand the equality of matrices
perform operation on matrices such as addition, subtraction. Multiplying by a scalar

Equal Matrices

Two matrices (A and B) are equal if they have the same dimension and their corresponding entries are equal.

Example1:

Find x,y,z from the given matrix

Find a+b+c=?

Multiple Choice

Find x,y,z

x=7, y=5, z=3

x=5, y=1, z=5

x=7, y=4, z=5

x=-1, y=3, z=5

Addition and subtraction on matrices

Multiple Choice

find x-y=?

-2

-5

Operations on matrices

Addition and subtraction
Multiplying by a scalar

Addition and subtraction of matrices

Two matrices can be added or subtracted only if they have same order (dimension)
To add or subtract matrices, just add or subtract the corresponding elements

Properties of addition

Example:

Multiple Choice

-2

Multiplying by scalar

To multiply matrices by a scalar, just multiply each entry by the scalar

Example:

Multiple Choice

-2

Matrices

Equal matrices. Operations on matrices

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