26
QuizMultiple Choice

Adding and Subtracting Matrices — Quiz

Question 26 • Advanced Algebra: Concepts and Connections

In the equation, variables cap x and cap y represent two matrices. Which property of matrix addition is illustrated? cap x plus cap y is equal to cap y plus cap x

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

Explanation

The equation switches the order of the matrices: X + Y = Y + X. Changing the order of the addends without changing the sum illustrates the commutative property of matrix addition. The associative property instead changes the grouping of three matrices.

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