9
QuizMultiple Choice

Introduction to Matrices — Quiz

Question 9 • Advanced Algebra: Concepts and Connections

Matrices cap A and cap b shown are equal. cap A is equal to the 2 by 2 matrix, row 1, column 1, 7 column 2, negative 18 row 2, column 1, 3 column 2, 24 cap b is equal to the 2 by 2 matrix, row 1, column 1, b sub 11 column 2, b sub 12 row 2, column 1, b sub 21 column 2, b sub 22 What is the value of b sub 12 ?

Answer
A
3
B
negative 18
C
24
D
7

Explanation

Equal matrices have the same value in each corresponding position. In matrix A, the entry in row 1, column 2 is −18, so the matching entry in matrix B, b₁₂, must also be −18. The correct choice is negative 18.

AI-written and checked against the verified answer.

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