If A is a 3x3 matrix and B is a 3x3 matrix, what is the maximum order of the res
Practice Questions
Q1
If A is a 3x3 matrix and B is a 3x3 matrix, what is the maximum order of the resultant matrix AB? (2023)
3x3
2x2
3x2
2x3
Questions & Step-by-Step Solutions
If A is a 3x3 matrix and B is a 3x3 matrix, what is the maximum order of the resultant matrix AB? (2023)
Step 1: Understand what a matrix is. A matrix is a rectangular array of numbers arranged in rows and columns.
Step 2: Identify the order of the matrices A and B. Both A and B are 3x3 matrices, meaning they have 3 rows and 3 columns.
Step 3: Learn about matrix multiplication. When you multiply two matrices, the resulting matrix's order is determined by the orders of the original matrices.
Step 4: Since both A and B are 3x3 matrices, the multiplication AB will also result in a matrix that has the same number of rows and columns.
Step 5: Conclude that the product AB will also be a 3x3 matrix.
