Question

Determine whether the matrices A and B are equal. A= [1 -2 0 ] [1/2 6 0 ], B=[1 -2] [1/2 6]

Answer 1

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.