Final answer:
The provided information lacks context for a clear assessment of matrix-related statements as true or false. However, general principles regarding vectors and matrices have been clarified, including parallelism, perpendicularity, and vector components representation.
Step-by-step explanation:
The original question appears to concern a m x n matrix and various statements that must be identified as either true or false. Unfortunately, the provided excerpts are fragmented and do not contain sufficient context or complete statements, making it impossible to accurately assess their truthfulness or to provide corrected versions. However, in general, when dealing with matrices, it is important to understand matrix operations, dimensions, and properties of matrix arithmetic to accurately evaluate such statements.
In the context of vector operations (as hinted by references to vectors being parallel along the x-axis), when vectors are said to be parallel to each other, this means they have the same or opposite direction. For vectors to be mutually perpendicular, each vector must form a right angle with the other vectors. In a two-dimensional space, every vector can be uniquely represented by its x and y components, commonly written as Ax = A cos ϴ for the x-component and Ay = A sin ϴ for the y-component, not as products of components.