PC U2 Exam Review

Front

What is the order of a matrix?

Back

The order of a matrix is written as the number of rows x the number of columns.

Front

How do you evaluate the determinant of a matrix?

Back

To evaluate the determinant of a matrix, use specific methods such as row reduction, cofactor expansion, or applying the determinant formula for 2x2 or 3x3 matrices.

Front

Can you multiply a 2x3 matrix by a 3x12 matrix?

Back

Yes, you can multiply a 2x3 matrix by a 3x12 matrix because the number of columns in the first matrix (3) matches the number of rows in the second matrix (3).

Front

What is partial fraction decomposition?

Back

Partial fraction decomposition is a method used to express a rational function as a sum of simpler fractions, making it easier to integrate or analyze.

Front

Define a matrix.

Back

A matrix is a set of numbers arranged in rows and columns.

Front

What is the determinant of a 2x2 matrix?

Back

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

Front

What is the significance of the determinant in linear algebra?

Back

The determinant indicates whether a matrix is invertible; if the determinant is zero, the matrix is singular (not invertible).

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix refer to the number of rows and columns it contains, expressed as 'rows x columns'.

Front

What is a scalar multiplication of a matrix?

Back

Scalar multiplication involves multiplying each entry of a matrix by a scalar (a single number).

Front

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

Back

Multiplying any matrix by the identity matrix of compatible dimensions results in the original matrix.