14
QuizMultiple Choice

Adding and Subtracting Matrices — Quiz

Question 14 • Advanced Algebra: Concepts and Connections

Which property is shown in the matrix addition? the 2 by 3 matrix, row 1, column 1, negative 6 column 2, 15 column 3, negative 2 row 2, column 1, 9 column 2, 0 column 3, negative 3 plus the 2 by 3 matrix, row 1, column 1, 6 column 2, negative 15 column 3, 2 row 2, column 1, negative 9 column 2, 0 column 3, 3 is equal to the 2 by 3 matrix row 1, 0 0 0 row 2, 0 0 0

Answer
A
identity property
B
associative property
C
commutative property
D
inverse property

Explanation

Each entry in the second matrix is the opposite of the corresponding entry in the first—for example, −6 and 6, and 15 and −15. Adding a number and its opposite gives 0, so every entry in the sum is 0. This shows the inverse property of matrix addition.

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