F5 Chapter 2 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'. For example, a 3x1 matrix has 3 rows and 1 column.

Front

How many columns are there in a 5 x 4 matrix?

Back

A 5 x 4 matrix has 4 columns.

Front

What does the notation r₂₃ represent in a matrix?

Back

The notation r₂₃ represents the element located in the 2nd row and 3rd column of a matrix.

Front

Can you multiply a 2x3 matrix by a 3x2 matrix?

Back

Yes, you can multiply a 2x3 matrix by a 3x2 matrix. The resulting matrix will be a 2x2 matrix.

Front

What is a determinant in the context of matrices?

Back

The determinant is a scalar value that is a function of the entries of a square matrix, providing important properties about the matrix, such as whether it is invertible.

Front

How do you find the determinant of a 2x2 matrix?

Back

For a 2x2 matrix [[a, b], [c, d]], the determinant is calculated as ad - bc.

Front

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

Back

Multiplying any matrix by the identity matrix of appropriate size leaves the original matrix unchanged.

Front

What is a zero matrix?

Back

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

Front

What is the transpose of a matrix?

Back

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

Front

What is the significance of a matrix being square?

Back

A square matrix has the same number of rows and columns, which allows for operations like finding the determinant and inverse.