Introduction to Matrices Math 4

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 of 'rows x columns', indicating how many rows and columns it contains.

Front

What is the element a_ij in a matrix?

Back

The element a_ij refers to the element located in the i-th row and j-th column of a matrix.

Front

What is required to add two matrices?

Back

The dimensions of the two matrices must be equal.

Front

What is matrix multiplication?

Back

Matrix multiplication involves multiplying rows of the first matrix by columns of the second matrix, and the number of columns in the first matrix must equal the number of rows in the second.

Front

What is the result of multiplying a 2x3 matrix by a 3x2 matrix?

Back

The result is a 2x2 matrix.

Front

What is the identity matrix?

Back

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

Front

What is the determinant of a matrix?

Back

The determinant is a scalar value that can be computed from the elements of a square matrix, providing important properties about the matrix.

Front

What does it mean for a matrix to be invertible?

Back

A matrix is invertible if there exists another matrix such that their product is the identity matrix.

Front

What is a zero matrix?

Back

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