7
practice testMultiple Choice

Practice Test

Question 7 • Advanced Algebra: Concepts and Connections

Which property is shown in the matrix addition? the 3 by 2 matrix, row 1, column 1, 0 column 2, negative 5 point 5 row 2, column 1, 6 column 2, 19 point 4 row 3, column 1, 0 column 2, 0 plus the 3 by 2 matrix, row 1, column 1, 0 column 2, 5 point 5 row 2, column 1, negative 6 column 2, negative 19 point 4 row 3, column 1, 0 column 2, 0 is equal to the 3 by 2 matrix row 1, 0 0 row 2, 0 0 row 3, 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, −5.5 and 5.5 add to 0, and 6 and −6 add to 0. Adding a matrix to its additive inverse produces the zero matrix, so this shows the inverse property.

AI-written and checked against the verified answer.

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