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AssignmentMultiple Select

Adding and Subtracting Matrices

Question 4 • GA-Advanced Algebra: Concepts and Connections CR

Which of the following statements are always true about matrices?

Answer
A
Two matrices are equal if they are both square matrices.
B
Two matrices with different sizes cannot be equal.
C
A 2 x 3 matrix has 2 rows and 3 columns.
D
Two matrices are equal if their corresponding elements are equal.

Explanation

Matrices can be equal only if they have the same dimensions and matching entries in every corresponding position. Therefore, matrices with different sizes cannot be equal (B), and matrices with equal corresponding elements are equal (D). A 2 × 3 matrix has 2 rows and 3 columns (C). Being square alone does not make two matrices equal, so A is not always true.

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