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Matrix Arithmetic: The Product of Two Matrices (VCE SSCE General Mathematics): Flashcards

Matrix Arithmetic: The Product of Two Matrices

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10 cards from this deck

Multiplication and addition

Columns in $A$ = rows in $B$

$m \times s$

Outside numbers give answer, middle must match

No, generally $AB \neq BA$

All elements equal 1

Post-multiply by summing matrix

Pre-multiply by summing matrix

Only square matrices

$A \times A$

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Matrix Arithmetic: The Product of Two Matrices (VCE SSCE General Mathematics): Flashcards

Practise the cards

Operations in matrix multiplication

Condition for ABABAB to be defined

Order of ABABAB when AAA is m×nm \times nm×n, BBB is n×sn \times sn×s

Memory aid for matrix mult. order

Is matrix multiplication commutative

Summing matrix definition

How to sum rows of a matrix

How to sum columns of a matrix

Matrices that can be raised to powers

A2A^2A2 equals (in matrix notation)

Explore VCE SSCE General Mathematics Revision Notes by Topics

The Basics of a Matrix

Adding and Subtracting Matrices

Scalar Multiplication

Matrix Multiplication

Inverse Matrices and Solving Simultaneous Equations Using Matrices

Using Matrices to Model Road and Communication Networks

Introduction to Transition Matrices

Answering Questions That Require Multiple Applications of a Transition Matrix

Applications of Matrices

What is a Matrix?

Using Matrices to Represent Information

Matrix Arithmetic: Addition, Subtraction, and Scalar Multiplication

Matrix Arithmetic: The Product of Two Matrices

Matrix Inverse, the Determinant, and Matrix Equations

Binary, Permutation, and Communication Matrices

Dominance Matrices

Applications of Matrices

What is a Matrix?

Using Matrices to Represent Information

Matrix Arithmetic: Addition, Subtraction, and Scalar Multiplication

Matrix Arithmetic: The Product of Two Matrices

Matrix Inverse, the Determinant, and Matrix Equations

Binary, Permutation, and Communication Matrices

Dominance Matrices

Explore VCE SSCE General Mathematics Model Answers by Topics

The Basics of a Matrix

Adding and Subtracting Matrices

Scalar Multiplication

Matrix Multiplication

Inverse Matrices and Solving Simultaneous Equations Using Matrices

Using Matrices to Model Road and Communication Networks

Introduction to Transition Matrices

Answering Questions That Require Multiple Applications of a Transition Matrix

Applications of Matrices

What is a Matrix?

Using Matrices to Represent Information

Matrix Arithmetic: Addition, Subtraction, and Scalar Multiplication

Matrix Arithmetic: The Product of Two Matrices

Matrix Inverse, the Determinant, and Matrix Equations

Binary, Permutation, and Communication Matrices

Dominance Matrices

Applications of Matrices

What is a Matrix?

Using Matrices to Represent Information

Matrix Arithmetic: Addition, Subtraction, and Scalar Multiplication

Matrix Arithmetic: The Product of Two Matrices

Matrix Inverse, the Determinant, and Matrix Equations

Binary, Permutation, and Communication Matrices

Dominance Matrices

Explore VCE SSCE General Mathematics Quizzes by Topics

The Basics of a Matrix

Adding and Subtracting Matrices

Scalar Multiplication

Matrix Multiplication

Inverse Matrices and Solving Simultaneous Equations Using Matrices

Using Matrices to Model Road and Communication Networks

Introduction to Transition Matrices

Answering Questions That Require Multiple Applications of a Transition Matrix

Applications of Matrices

What is a Matrix?

Using Matrices to Represent Information

Matrix Arithmetic: Addition, Subtraction, and Scalar Multiplication

Matrix Arithmetic: The Product of Two Matrices

Matrix Inverse, the Determinant, and Matrix Equations

Binary, Permutation, and Communication Matrices

Dominance Matrices

Applications of Matrices

Condition for $AB$ to be defined

Order of $AB$ when $A$ is $m \times n$ , $B$ is $n \times s$

$A^2$ equals (in matrix notation)