21.2.2. Types of Matrices

Try these first

1. 1.

   What is a row matrix?

   Hint

   Think of how you would write down numbers in a line.

2. 2.

   Define a column matrix.

   Hint

   Visualize a stack of numbers.

3. 3.

   What type of matrix has only one row?

   • Row Matrix
   • Column Matrix
   • Diagonal Matrix

   Hint

   Think about the arrangement of numbers.

4. 4.

   True or False: A singular matrix has a non-zero determinant.

   • True
   • False

   Hint

   Consider the definition of singular vs. non-singular.

5. 5.

   Create a 2x2 diagonal matrix and explain how it differs from a scalar matrix.

   Hint

   Focus on the definition of each matrix type.

6. 6.

   Given the matrix B = [[4, 2], [2, 4]], determine if it is symmetric and justify your answer.

   Hint

   Check if flipping the matrix across the diagonal gives you the same matrix.