Exploring Matrix Operations: Addition and Multiplication

What is a matrix?

• A type of graph

• A mathematical function

• A way to represent arrays of many numbers

• A single number

Which of the following fields does NOT commonly use matrices?

• Business

• Physics

• Economics

• Literature

What is required for two matrices to be added together?

• They must be the same size

• They must be square matrices

• They must have the same number of columns

• They must have the same number of rows

What is a scalar in the context of matrices?

• A matrix with equal rows and columns

• A number that multiplies every entry in a matrix

• A matrix with only one column

• A matrix with only one row

How do you multiply two matrices together?

• By dividing corresponding entries

• By multiplying corresponding entries

• By adding corresponding entries

• By multiplying rows of the first matrix by columns of the second matrix

What is the result of multiplying the first row of the first matrix by the first column of the second matrix in matrix multiplication?

• The quotient of the products of corresponding entries

• The product of the sums of corresponding entries

• The difference of the products of corresponding entries

• The sum of the products of corresponding entries

What must be true for two matrices to be multiplied together?

• The number of rows in the first matrix must equal the number of columns in the second matrix

• The number of columns in the first matrix must equal the number of rows in the second matrix

• Both matrices must be square

• Both matrices must be the same size

What happens if the number of columns in the first matrix does not match the number of rows in the second matrix during multiplication?

• The matrices cannot be multiplied

• The result will be an identity matrix

• The matrices can still be multiplied

• The result will be a zero matrix

How can matrices be used in cryptography?

• By adding matrices together

• By dividing matrices

• By using matrices to encode and decode messages

• By subtracting matrices

What branch of mathematics frequently uses matrices?

• Geometry

• Calculus

• Statistics

• Linear Algebra