Answer:
A and D are equal matrices
Step-by-step explanation:
Two matrices are equal if they have the same dimensions (numbers of rows and columns)
∵
- Multiply each element by -2
∴
∵ Matrix A has 3 rows and 2 columns
∴ Its dimensions are 3 × 2
∵ Matrix B has 2 rows and 3 columns
∴ Its dimensions are 2 × 3
- Equal matrices has equal dimensions and equal corresponding
elements
∵ A and B has different dimensions, so they can not be equal
∴ A ≠ B
∵
∴ The dimensions of C are 3 × 2
- Divide the two sides of the matrix by 3 to find C
∴
∵ A and C have same dimensions but they have different
corresponding elements
∴ A ≠ C
∵
- Multiply each element by -1
∴
∵ The dimensions of D are 3 × 2
∵ The corresponding elements of A and D are equal
∴ A and D are equal matrices