ACT Strategy for Multiplying a Matrix by a Real Number

By Mark Zegarelli

You may encounter ACT Math questions that ask you to multiply an entire matrix by a real number. Fortunately, this is a straightforward operation: Simply multiply the integer by every element in the matrix. Doing so is similar to using the distributive property to multiply a number by each term inside a set of parentheses. Yeah, it’s that easy.


Which of the following is the result when you multiply the matrix


by 3?


To find the answer, you simply multiply each element of the matrix by 3. Place these three answers into a new matrix of the same dimensions:


Therefore, the correct answer is Choice (D).