Matrices

Front

What must be true in order to ADD two matrices?

Back

The dimensions of the matrices must be equal.

Front

What are the dimensions of a matrix that can be multiplied by a 2X3 matrix?

Back

A 3Xn matrix, where n can be any positive integer.

Front

What is the result of subtracting two matrices of the same dimensions?

Back

The result is a matrix of the same dimensions, where each element is the difference of the corresponding elements.

Front

What is the definition of a matrix?

Back

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

Front

How do you determine the dimensions of a matrix?

Back

The dimensions of a matrix are given by the number of rows and columns it contains, expressed as 'rows x columns'.

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 zero matrix?

Back

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

Front

What is matrix transposition?

Back

Matrix transposition is the operation of swapping the rows and columns of a matrix.

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.