21.2. Matrices and Types of Matrices

Try these first

1. 1.

   Define what a matrix is.

   Hint

   Think of how numbers are organized.

2. 2.

   What is a row matrix?

   Hint

   Consider the arrangement of elements.

3. 3.

   What defines a singular matrix?

   • It has a determinant of 0
   • It is a row matrix
   • It is a non-square matrix

   Hint

   Recall the definition of singular matrices.

4. 4.

   True or False: An identity matrix can have diagonal entries other than 1.

   • True
   • False

   Hint

   Think about the functions of an identity matrix.

5. 5.

   Given the following matrix A = [[2, 0, 0], [0, 3, 0], [0, 0, 0]], determine its type (singular/non-singular) and explain your reasoning.

   Hint

   Check the determinant!

6. 6.

   Create a 2x2 diagonal matrix and a scalar matrix, then prove their differences through multiplication with another matrix.

   Hint

   Perform the multiplication!