Review of Matrices Basics

Front

What is a matrix?

Back

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

Front

What does the notation A_{ij} represent in a matrix?

Back

A_{ij} represents the element in the i-th row and j-th column of matrix A.

Front

How do you add two matrices?

Back

To add two matrices, they must have the same dimensions. Add corresponding elements from each matrix.

Front

What is a scalar in matrix multiplication?

Back

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

Front

What is the result of multiplying a matrix by a scalar?

Back

Each element of the matrix is multiplied by the scalar.

Front

What is the dimension of a matrix?

Back

The dimension of a matrix is defined by the number of rows and columns it has, expressed as 'rows x columns'.

Front

How do you subtract two matrices?

Back

To subtract two matrices, they must have the same dimensions. Subtract corresponding elements from each matrix.

Front

What is a zero matrix?

Back

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

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.

Front

How do you find the transpose of a matrix?

Back

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