Matrices # 1

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 the number of rows and columns in the matrix.

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

How do you subtract two matrices?

Back

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

Front

What is the determinant of a matrix?

Back

The determinant is a scalar value that is a function of the entries of a square matrix, providing important properties of the matrix.

Front

How do you calculate the determinant of a 2x2 matrix?

Back

For a 2x2 matrix [[a, b], [c, d]], the determinant is calculated as ad - bc.

Front

What is matrix multiplication?

Back

Matrix multiplication involves multiplying rows of the first matrix by columns of the second matrix, resulting in a new matrix.

Front

What are the conditions for matrix multiplication?

Back

The number of columns in the first matrix must equal the number of rows in the second matrix.

Front

What is an identity matrix?

Back

An 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.