26
QuizMultiple Choice

Introduction to Matrices — Quiz

Question 26 • Advanced Algebra: Concepts and Connections

Which matrix is equal to the 2 by 2 matrix, row 1, column 1, 3 column 2, 2 row 2, column 1, negative 5 column 2, 9 ?

Answer
A
the 1 by 4 matrix, row 1, column 1, 3 column 2, negative 5 column 3, 2 column 4, 9
B
the 2 by 2 matrix, row 1, column 1, 3 column 2, negative 5 row 2, column 1, 2 column 2, 9
C
the 1 by 4 matrix, row 1, column 1, 3 column 2, 2 column 3, negative 5 column 4, 9
D
the 2 by 2 matrix, row 1, column 1, 3 column 2, 2 row 2, column 1, negative 5 column 2, 9

Explanation

Equal matrices have the same dimensions and the same entry in each corresponding position. The given matrix is 2 by 2, with rows [3, 2] and [−5, 9]. Choice C has those same rows and entries; choices A and D are 1 by 4, while B switches the 2 and −5 positions.

AI-written and checked against the verified answer.

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