Operations with Matrices

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

How do you determine if two matrices can be added?

Back

Two matrices can be added if they have the same dimensions.

Front

What is the result of adding a 2x3 matrix and a 2x3 matrix?

Back

The result is another 2x3 matrix.

Front

What is the result of adding a 2x3 matrix and a 3x2 matrix?

Back

Not possible, because the matrices have different dimensions.

Front

What comes first in the dimension of a matrix?

Back

The number of rows comes first.

Front

What is the operation of matrix subtraction?

Back

Matrix subtraction is performed element-wise, similar to addition, and requires the matrices to have the same dimensions.

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.