Exploring the Basics of Matrices

What is a matrix?

• A triangular set of equations

• A single number

• A rectangular array of numbers

• A circular arrangement of data

How are the elements of a matrix arranged?

• In a triangular form

• In rows and columns

• In a single line

• In a circular pattern

What does the dimension of a matrix represent?

• The total sum of elements

• The size of each element

• The number of rows and columns

• The number of elements

How is an element in a matrix identified?

• By its shape

• By its color

• By its row and column position

• By its value

For two matrices to be equal, what must be true?

• They must have the same shape

• They must have the same number of elements

• They must have the same dimensions and corresponding elements

• They must have the same sum of elements

What is the result of adding two matrices with different dimensions?

• A larger matrix

• A smaller matrix

• An undefined result

• A zero matrix

When subtracting matrices, what must be true?

• They must have the same number of elements

• They must have the same sum of elements

• They must have the same shape

• They must have the same dimensions

What is scalar multiplication in the context of matrices?

• Adding a constant to each element

• Multiplying each element by a constant

• Subtracting a constant from each element

• Dividing each element by a constant

What happens to the size of a matrix after scalar multiplication?

• It doubles

• It becomes zero

• It halves

• It remains the same

What is the result of multiplying a matrix by a scalar of 2/3?

• Each element is divided by 2

• Each element is subtracted by 2/3

• Each element is multiplied by 3

• Each element is multiplied by 2/3