If A is a 3x3 matrix and B is a 3x3 matrix, what is the order of the matrix A +

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Question: If A is a 3x3 matrix and B is a 3x3 matrix, what is the order of the matrix A + B? (2019)

Options:

Correct Answer: 3x3

Exam Year: 2019

Solution:

The sum of two matrices is defined only when they have the same order. Since both A and B are 3x3 matrices, A + B will also be a 3x3 matrix.

If A is a 3x3 matrix and B is a 3x3 matrix, what is the order of the matrix A + B? (2019)

If A is a 3x3 matrix and B is a 3x3 matrix, what is the order of the matrix A + B? (2019)

Step 1: Identify the order of matrix A. A is a 3x3 matrix, which means it has 3 rows and 3 columns.
Step 2: Identify the order of matrix B. B is also a 3x3 matrix, which means it also has 3 rows and 3 columns.
Step 3: Understand that the sum of two matrices can only be performed if they have the same order.
Step 4: Since both A and B are 3x3 matrices, they have the same order.
Step 5: Therefore, when you add A and B (A + B), the result will also be a 3x3 matrix.

Matrix Addition – Matrix addition is defined for matrices of the same order, and the resulting matrix will have the same order as the matrices being added.