Matrices

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form 'rows x columns', indicating how many rows and columns it contains.

Front

What is matrix addition?

Back

Matrix addition involves adding corresponding elements of 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 matrix multiplication?

Back

Matrix multiplication involves multiplying rows of the first matrix by columns of the second matrix, and is only possible when the number of columns in the first matrix equals the number of rows in the second.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere, denoted as I.

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all elements are zero.

Front

What is a scalar in matrix operations?

Back

A scalar is a single number that can multiply a matrix, affecting each element of the matrix.

Front

What does it mean for matrices to be compatible for addition?

Back

Matrices are compatible for addition if they have the same dimensions.

Front

What is the transpose of a matrix?

Back

The transpose of a matrix is formed by swapping its rows and columns.