Intro to Matrices and Operations with Matrices

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are defined by the number of rows and columns it contains, expressed as 'rows x columns'. For example, a matrix with 3 rows and 2 columns is said to have dimensions 3 x 2.

Front

What is the name of each entry of a matrix?

Back

Each entry of a matrix is called an 'Element'. It represents a single value within the matrix.

Front

What is a Scalar in relation to matrices?

Back

A Scalar is a single value, such as '80', that can multiply a matrix or be used in matrix operations.

Front

How do you perform matrix addition?

Back

To perform matrix addition, add corresponding elements from two matrices of the same dimensions.

Front

What is matrix subtraction?

Back

Matrix subtraction involves subtracting corresponding elements of two matrices of the same dimensions.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere. It acts as the multiplicative identity in matrix multiplication.

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all elements are zero. It serves as the additive identity in matrix addition.

Front

What is the transpose of a matrix?

Back

The transpose of a matrix is obtained by flipping it over its diagonal, turning rows into columns and vice versa.

Front

What is matrix multiplication?

Back

Matrix multiplication involves multiplying rows of the first matrix by columns of the second matrix, and summing the products.

Front

What are the conditions for matrix multiplication?

Back

For two matrices A (m x n) and B (n x p) to be multiplied, the number of columns in A must equal the number of rows in B.