Basic Matrices

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers 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'. For example, a 3x2 matrix has 3 rows and 2 columns.

Front

How do you identify an element in a matrix?

Back

An element in a matrix is identified by its position, given as (row, column). For example, the element in the second row, third column is denoted as R[2,3].

Front

What is matrix addition?

Back

Matrix addition involves adding corresponding elements of two matrices of the same dimensions.

Front

What is the result of adding the matrices: [[1, 2], [3, 4]] and [[5, 6], [7, 8]]?

Back

The result is [[6, 8], [10, 12]].

Front

What is matrix subtraction?

Back

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

Front

What is the result of subtracting the matrices: [[5, 6], [7, 8]] from [[1, 2], [3, 4]]?

Back

The result is [[-4, -4], [-4, -4]].

Front

What is matrix multiplication?

Back

Matrix multiplication involves multiplying rows of the first matrix by columns of the second matrix.

Front

What is the result of multiplying the matrices: [[1, 2], [3, 4]] and [[5, 6], [7, 8]]?

Back

The result is [[19, 22], [43, 50]].

Front

What is a square matrix?

Back

A square matrix is a matrix with the same number of rows and columns.