Scalar Multiplication (VCE SSCE General Mathematics): Quizzes

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Scalar Multiplication
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What is a scalar in matrix mathematics?

A simple number

What does scalar multiplication involve?

Multiplying every element by the scalar

If you multiply a 2×32 \times 3 matrix by a scalar, what are the dimensions of the result?

2×32 \times 3

If A=[3−120]A = \begin{bmatrix} 3 & -1 \\ 2 & 0 \end{bmatrix}, what is 2A2A?

[6−240]\begin{bmatrix} 6 & -2 \\ 4 & 0 \end{bmatrix}

When computing 2A−3B2A - 3B, which operation should be performed first?

The scalar multiplications

When multiplying a matrix by a scalar, what happens to zero elements?

They must still be multiplied

To increase a value by 1515%, what should you multiply by?

1.151.15

To add 10% GST to prices, what scalar should multiply the price matrix?

1.11.1

If A=[1011]A = \begin{bmatrix} 1 & 0 \\ 1 & 1 \end{bmatrix} and B=[0100]B = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}, find 2A−B2A - B.

[2−122]\begin{bmatrix} 2 & -1 \\ 2 & 2 \end{bmatrix}

A shop wants to double all prices in a price matrix. What scalar should they use?

22

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

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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

Show more

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

Show more

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 Exam Questions 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

Show more

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

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