Operations with Matrices

Front

What is a matrix?

Back

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

Front

What is matrix multiplication?

Back

Matrix multiplication is an operation that produces a new matrix by multiplying rows of the first matrix by columns of the second matrix.

Front

What are the conditions for matrix multiplication to be defined?

Back

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

Front

What is the order of a matrix?

Back

The order of a matrix is defined by the number of rows and columns it has, expressed as 'm x n'.

Front

How do you find the product of two matrices?

Back

To find the product, multiply each element of the rows of the first matrix by the corresponding elements of the columns of the second matrix and sum the results.

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 the zero matrix?

Back

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

Front

What is the transpose of a matrix?

Back

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

Front

What does it mean for two matrices to be compatible for addition?

Back

Two matrices are compatible for addition if they have the same order (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 and provides information about the matrix's properties.