Add and Subtract Matrices

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'. For example, a matrix with 3 rows and 2 columns is said to have dimensions 3 x 2.

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Front

How do you add two matrices?

Back

To add two matrices, they must have the same dimensions. You add corresponding elements from each matrix.

Front

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

Back

The result is another 2 x 3 matrix.

Front

What must be true in order to subtract two matrices?

Back

The dimensions of the two matrices must be equal.

Front

What is the element in the second row, third column of a matrix?

Back

It is the value located at the intersection of the second row and the third column.

Front

What does it mean for matrices to be square?

Back

A square matrix has the same number of rows and columns, such as a 3 x 3 matrix.

Front

Can you add a 3 x 2 matrix to a 2 x 3 matrix?

Back

No, you cannot add them because their dimensions are not equal.

Front

What is the determinant of a matrix?

Back

The determinant is a scalar value that can be computed from the elements of a square matrix and provides important properties of the 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.