13
QuizMultiple Choice

Adding and Subtracting Matrices — Quiz

Question 13 • Advanced Algebra: Concepts and Connections

In the equation, variables cap s , cap t , and cap u represent three matrices. Which property of matrix addition is illustrated? cap s plus open paren cap t plus cap u close paren is equal to open paren cap s plus cap t close paren plus cap u

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

Explanation

The equation changes only the grouping of the matrices: S + (T + U) becomes (S + T) + U. The order of the matrices stays the same, which illustrates the associative property of matrix addition.

AI-written and checked against the verified answer.

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