Matrices

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Front

What is the Dot Product of two vectors?

Back

The Dot Product is a scalar value obtained by multiplying corresponding entries of two sequences of numbers and summing those products.

Front

What are the conditions for adding two matrices?

Back

The dimensions of the two matrices must be equal (same number of rows and columns).

Front

What is the result of multiplying a matrix by a scalar?

Back

Each entry of the matrix is multiplied by the scalar.

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 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 is a function of the entries of a square matrix, providing important properties of the matrix.

Front

What is matrix multiplication?

Back

Matrix multiplication involves taking the dot product of rows and columns from two matrices.

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.