17
QuizMultiple Choice

Scalar and Matrix Multiplication — Quiz

Question 17 • Advanced Algebra: Concepts and Connections

What is the size of the matrix resulting from the 1 by 3 row matrix column 1 4 column 2 negative 1 column 3 0 times the 3 by 3 matrix, row 1, column 1, 2 column 2, 1 column 3, 0 row 2, column 1, negative 3 column 2, negative 7 column 3, 2 row 3, column 1, 1 column 2, negative 5 column 3, 2 ?

Answer
A
3 times 3
B
1 times 3
C
1 times 1
D
3 times 1

Explanation

For matrix multiplication, the outside dimensions determine the result size. The first matrix has size 1 × 3 and the second has size 3 × 3, so the inner dimensions match and the product has size 1 × 3. Therefore, the correct choice is 1 times 3.

AI-written and checked against the verified answer.

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