Matrix Retake

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns.

Front

What does it mean to add two matrices?

Back

To add two matrices, they must have the same dimensions, and you add corresponding elements.

Front

What is the order of operations for matrix multiplication?

Back

Matrix multiplication is not commutative; the order matters. The number of columns in the first matrix must equal the number of rows in the second.

Front

What is a square matrix?

Back

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

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 of the matrix.

Front

What must be true in order to multiply two matrices?

Back

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

Front

What is a zero matrix?

Back

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

Front

What is a transpose of a matrix?

Back

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

Front

What is an identity matrix?

Back

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

Front

How do you find the product of two matrices?

Back

To find the product, multiply the rows of the first matrix by the columns of the second matrix and sum the products.