Matrix Operations

Front

What is a matrix?

Back

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

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form 'rows x columns'.

Front

Can you multiply two matrices of dimensions 2x3 and 2x5?

Back

No, the product is undefined because the number of columns in the first matrix (3) does not equal the number of rows in the second matrix (2).

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 are the dimensions of the product of a 5x3 matrix and a 3x5 matrix?

Back

The product will be a 5x5 matrix.

Front

What is the result of adding two matrices of dimensions 2x2?

Back

The result is another 2x2 matrix, where each element is the sum of the corresponding elements.

Front

What must be true in order to add two matrices?

Back

Their dimensions must be equal.

Front

If matrix A is 2x3 and matrix B is 3x2, what are the dimensions of the product A*B?

Back

The product A*B will be 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.