Matrices Basic 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 of rows x columns (e.g., 2x3 means 2 rows and 3 columns).

Front

Can you multiply a 2x3 matrix by a 2x2 matrix?

Back

No, you cannot multiply a 2x3 matrix by a 2x2 matrix because the number of columns in the first matrix (3) does not match the number of rows in the second matrix (2).

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 product of a 2x3 matrix and a 3x4 matrix?

Back

The product is a 2x4 matrix.

Front

If matrix A is 2x3 and matrix B is 3x2, what is the size of the resulting matrix when multiplying A and B?

Back

The resulting matrix will be 2x2.

Front

What is the rule for matrix multiplication regarding dimensions?

Back

For two matrices to be multiplied, the number of columns in the first matrix must equal the number of rows in 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.

Front

What happens when you multiply any matrix by the identity matrix?

Back

The result is the original matrix.

Front

What is the zero matrix?

Back

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