College Math CLEP Prep Practice Exam

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What is the result of the matrix operation [[1,2,3], [4,5,6]] x [[7,8], [9,10], [11,12]]?

  1. [[1, 4, 3], [7, 10, 6]]

  2. [[58, 80], [64, 86]]

  3. [[68, 100], [75, 110]]

  4. [[44, 56], [83, 106]]

The correct answer is: [[68, 100], [75, 110]]

To multiply two matrices, the number of columns in the first matrix must match the number of rows in the second matrix. In this case, the first matrix has 3 columns and the second matrix has 2 rows, satisfying this condition. Rotating to the next question ontext about other options Option A is incorrect because the third element in the first row should be 7, not 3. Option B is incorrect because the result should have 2 rows and 3 columns, not 2 rows and 2 columns. Option D is incorrect because the first element in the second row should be 75, not 83. Therefore, option C is the correct answer.

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