If A is a 3x3 matrix and B is a 3x3 matrix, what is the order of A + B? (2023)
Practice Questions
Q1
If A is a 3x3 matrix and B is a 3x3 matrix, what is the order of A + B? (2023)
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 A + B? (2023)
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 when you add two matrices, the order of the resulting matrix (A + B) is the same as the order of the individual matrices.
Step 4: Since both A and B are 3x3 matrices, the order of A + B will also be 3x3.
Matrix Addition – The order (dimensions) of the resulting matrix from the addition of two matrices is the same as the order of the individual matrices.
