If A is a 3x3 matrix and B is a 3x3 matrix, what is the order of the matrix prod
Practice Questions
Q1
If A is a 3x3 matrix and B is a 3x3 matrix, what is the order of the matrix product AB? (2021)
3x3
2x2
3x2
2x3
Questions & Step-by-Step Solutions
If A is a 3x3 matrix and B is a 3x3 matrix, what is the order of the matrix product AB? (2021)
Step 1: Identify the order of matrix A. A is a 3x3 matrix.
Step 2: Identify the order of matrix B. B is also a 3x3 matrix.
Step 3: Understand that 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 product AB will also be a matrix of order 3x3.
Matrix Multiplication – The product of two matrices is defined when the number of columns in the first matrix equals the number of rows in the second matrix. The resulting matrix has dimensions based on the outer dimensions of the two matrices.
