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

Matrix Arithmetic: The Product of Two Matrices

Practise the questions

10 questions from this quiz

Columns in $A$ = rows in $B$

$3 \times 2$

No, columns in $A$ $\neq$ rows in $B$

No, order matters in multiplication

Post-multiply by $4 \times 1$ summing matrix

Pre-multiply by $1 \times 2$ summing matrix

Only square matrices

$[2 \times 4 + 3 \times 1 + 1 \times 2] = [13]$

$5 \times 7$

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

Practise the questions

For matrix product ABABAB to be defined, what must be equal?

If AAA is 3×43 \times 43×4 and BBB is 4×24 \times 24×2, what is the order of ABABAB?

If AAA is 2×32 \times 32×3 and BBB is 2×12 \times 12×1, is ABABAB defined?

Is matrix multiplication commutative (does AB=BAAB = BAAB=BA)?

To sum the rows of a 3×43 \times 43×4 matrix, what do you use?

To sum the columns of a 2×52 \times 52×5 matrix, what do you use?

Which matrices can be raised to powers like A2A^2A2?

Calculate: [2 3 1]×[4 1 2]T[2 \ 3 \ 1] \times [4 \ 1 \ 2]^T[2 3 1]×[4 1 2]T (where T^TT means row form)

If matrix CCC is 5×35 \times 35×3 and DDD is 3×73 \times 73×7, what is the order of CDCDCD?

Energy: 20 min walk (25 kJ/min), 40 min run (40 kJ/min). Total energy?

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 Flashcards 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

For matrix product $AB$ to be defined, what must be equal?

If $A$ is $3 \times 4$ and $B$ is $4 \times 2$ , what is the order of $AB$ ?

If $A$ is $2 \times 3$ and $B$ is $2 \times 1$ , is $AB$ defined?

Is matrix multiplication commutative (does $AB = BA$ )?

To sum the rows of a $3 \times 4$ matrix, what do you use?

To sum the columns of a $2 \times 5$ matrix, what do you use?

Which matrices can be raised to powers like $A^2$ ?

Calculate: $[2 \ 3 \ 1] \times [4 \ 1 \ 2]^T$ (where $^T$ means row form)

If matrix $C$ is $5 \times 3$ and $D$ is $3 \times 7$ , what is the order of $CD$ ?