12/2 bell-ringer

Front

What is matrix multiplication?

Back

Matrix multiplication is a binary operation that produces a matrix from two matrices. The number of columns in the first matrix must equal the number of rows in the second matrix.

Front

What are the conditions for two matrices to be multiplied?

Back

Two matrices can be multiplied if the number of columns in the first matrix is equal to 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 contains, expressed as 'rows x columns'.

Front

If matrix A is 2x3 and matrix B is 3x2, what is the order of the resulting matrix when A is multiplied by B?

Back

The resulting matrix will be 2x2.

Front

What happens if you try to multiply a 2x3 matrix by a 2x2 matrix?

Back

The multiplication 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 does it mean for a matrix operation to be defined?

Back

An operation on matrices is defined if the matrices involved meet the necessary conditions for that operation, such as compatible dimensions for multiplication.

Front

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

Back

Multiplying any matrix by the identity matrix of compatible dimensions results in the original matrix.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere. It acts as the multiplicative identity in matrix multiplication.

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all elements are zero. It acts as the additive identity in matrix addition.

Front

If matrix A is 3x2 and matrix B is 2x3, what is the order of the resulting matrix when A is multiplied by B?

Back

The resulting matrix will be 3x3.