If A is a 3x3 matrix and B is a 3x3 matrix, what is the order of the matrix A +
Practice Questions
Q1
If A is a 3x3 matrix and B is a 3x3 matrix, what is the order of the matrix A + B? (2019)
3x3
3x2
2x3
3x1
Questions & Step-by-Step Solutions
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.
