Matrix Addition and Properties

This video tutorial explains how to add two matrices by ensuring they have the same dimensions and then adding corresponding elements. It provides a step-by-step example of adding two 2x2 matrices, detailing the process of calculating the sum for each element in the resulting matrix. The tutorial concludes with a simplified result of the matrix addition.

What is a necessary condition for two matrices to be added together?

• They must have the same number of columns.

• They must be square matrices.

• They must have the same number of rows.

• They must have the same dimensions.

When adding matrices, what happens to the dimensions of the resulting matrix?

• They become the sum of the two matrices.

• They remain the same.

• They become the average of the two matrices.

• They double.

How do you add two matrices together?

• By multiplying corresponding elements.

• By adding corresponding elements.

• By dividing corresponding elements.

• By subtracting corresponding elements.

What is the result of adding the elements in row one, column one of the given matrices?

• -1

• -2

• 0

• 2

What is the sum of the elements in row one, column two of the matrices?

• -2

• -4

• 0

• 2

What is the sum of the elements in row two, column one of the matrices?

• 5

• 0

• 7

• 2

What is the sum of the elements in row two, column two of the matrices?

• -5

• 5

• -7

• 0

What is the final simplified form of the first row of the resulting matrix?

• 0, 0

• -2, 0

• -2, -4

• 0, -4