Final answer:
To determine if two matrices A and B are equal, we need to compare their corresponding elements. Matrices A and B are equal if and only if their elements are equal. Comparing the elements of matrices A and B, we find that all the corresponding elements are equal, so we can conclude that matrices A and B are equal.
Step-by-step explanation:
To determine if two matrices A and B are equal, we need to compare their corresponding elements.
A = [1 -2 0 ] [1/2 6 0 ]
B = [1 -2] [1/2 6]
The matrices A and B are equal if and only if their elements are equal.
Comparing the elements, we have:
- A11 = 1 and B11 = 1
- A12 = -2 and B12 = -2
- A21 = 1/2 and B21 = 1/2
- A22 = 6 and B22 = 6
Since all the corresponding elements are equal, we can conclude that matrices A and B are equal.