Operations with Matrices

Front

What is a Matrix?

Back

A set of numbers in rows and columns.

Front

What are the dimensions of a matrix with 3 rows and 2 columns?

Back

3 x 2

Front

What is the result of adding two matrices of the same dimensions?

Back

The sum is a new matrix where each element is the sum of the corresponding elements of the original matrices.

Front

What is the result of subtracting matrix A from matrix B?

Back

The difference is a new matrix where each element is the difference of the corresponding elements of the original matrices.

Front

What does it mean if two matrices cannot be added or subtracted?

Back

It means that the matrices do not have the same dimensions.

Front

What is a scalar in matrix operations?

Back

A scalar is a single number that can multiply a matrix.

Front

How do you multiply a matrix by a scalar?

Back

Multiply each element of the matrix by the scalar.

Front

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

Back

The result is a new matrix, where each element is calculated by taking the dot product of the rows of the first matrix and the columns of the second matrix.

Front

What is the identity matrix?

Back

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

Front

What is the zero matrix?

Back

A zero matrix is a matrix where all elements are zero.