Matrix Review

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 the number of columns.

Front

How do you find the inverse of a matrix?

Back

To find the inverse of a matrix A, you can use the formula A^(-1) = adj(A)/det(A), where adj(A) is the adjugate of A and det(A) is the determinant.

Front

What is a determinant?

Back

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

Front

What is the product of two matrices?

Back

The product of two matrices A (m x n) and B (n x p) is a new matrix C (m x p) formed by multiplying rows of A by columns of B.

Front

What is an element of a matrix?

Back

An element of a matrix is an individual entry located at the intersection of a specific row and column.

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

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 a transpose of a matrix?

Back

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