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State whether the following statements a...

State whether the following statements are true of false. If false, give a reason.
The matrices `A_(2 xx 3) and B_(2 xx 3)` are conformable for substraction.

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To determine whether the statement "The matrices A_(2 x 3) and B_(2 x 3) are conformable for subtraction" is true or false, we can follow these steps: ### Step 1: Understand the dimensions of the matrices - Matrix A has dimensions 2 x 3, which means it has 2 rows and 3 columns. - Matrix B also has dimensions 2 x 3, meaning it also has 2 rows and 3 columns. ### Step 2: Determine the condition for subtraction - Two matrices can be added or subtracted if and only if they have the same order (i.e., the same number of rows and columns). ### Step 3: Compare the dimensions - Since both matrices A and B have the same dimensions (2 x 3), they are conformable for subtraction. ### Step 4: State the conclusion - Therefore, the statement is true: The matrices A_(2 x 3) and B_(2 x 3) are conformable for subtraction. ### Final Answer: The statement is **True**. ---
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