Question

Let 𝑀=𝑀1𝑀2, where 𝑀1 and 𝑀2 are two 3×3 distinct matrices. Consider the following two statements:
(I) The rows of 𝑀 are linear combinations of rows of 𝑀2.
(II) The columns of 𝑀 are linear combinations of columns of 𝑀1.
Then,

• A. only (I) is TRUE
• B. only (II) is TRUE
• C. both (I) and (II) are TRUE
• D. neither (I) nor (II) is TRUE

Answer 1

Answer: (C)

both (I) and (II) are TRUE

Answer 2

The correct option is (C): both (I) and (II) are TRUE