20
QuizMultiple Choice

Matrices — Test

Question 20 • Algebra II

What is the value of cap c in the matrix equation? the 1 by 3 row matrix column 1 negative 18 column 2 3 column 3 5 minus cap c is equal to the 1 by 3 row matrix column 1 negative 22 column 2 1 column 3 12

Answer
A
the 1 by 3 row matrix column 1 4 column 2 2 column 3 negative 7
B
the 1 by 3 row matrix column 1 negative 40 column 2 2 column 3 negative 7
C
the 1 by 3 row matrix 4 2 17
D
the 1 by 3 row matrix column 1 negative 40 column 2 2 column 3 17

Explanation

Let the unknown matrix be C. From [−18, 3, 5] − C = [−22, 1, 12], subtract the right-hand matrix from the left-hand matrix to get C = [−18 − (−22), 3 − 1, 5 − 12] = [4, 2, −7]. The correct choice is the 1 by 3 row matrix [4, 2, −7].

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