12/2 bell-ringer

Front

What is a scalar matrix?

Back

A scalar matrix is a square matrix in which all the elements of the principal diagonal are equal and all other elements are zero.

Front

What are the dimensions of a matrix?

Back

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

Front

How do you find the element M_i,j in a matrix?

Back

The element M_i,j is found at the intersection of the i-th row and j-th column of the matrix.

Front

What is matrix addition?

Back

Matrix addition involves adding corresponding elements of two matrices of the same dimensions.

Front

Can you add matrices of different dimensions?

Back

No, matrices of different dimensions cannot be added together.

Front

What is the result of adding the matrices A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]]?

Back

The result is [[6, 8], [10, 12]].

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all the elements are zero.

Front

What is the identity matrix?

Back

An identity matrix is a square matrix with ones on the principal diagonal and zeros elsewhere.

Front

What is the transpose of a matrix?

Back

The transpose of a matrix is obtained by swapping its rows and columns.

Front

How do you multiply a scalar by a matrix?

Back

To multiply a scalar by a matrix, multiply each element of the matrix by the scalar.