Matrix

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 order of a matrix represent?

Back

The order of a matrix represents the number of rows and columns it contains, written as 'rows x columns'.

Front

How do you add two matrices?

Back

To add two matrices, they must have the same dimensions. Add corresponding elements together.

Front

What is the result of subtracting two matrices?

Back

The result of subtracting two matrices is a new matrix formed by subtracting corresponding elements, provided they have the same dimensions.

Front

What is matrix multiplication?

Back

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

Front

What are the dimensions of a product of two matrices?

Back

The dimensions of the product of two matrices are determined by the number of rows of the first matrix and the number of columns of the second matrix.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere. It acts as the multiplicative identity in matrix multiplication.

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all elements are zero. It serves as the additive identity in matrix addition.

Front

What is a transpose of a matrix?

Back

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

Front

What is a determinant?

Back

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