2
QuizMultiple Choice

Introduction to Matrices — Quiz

Question 2 • Advanced Algebra: Concepts and Connections

Mateus created a matrix using the elements. A sub 11 is equal to 32 A sub 12 is equal to 10 A sub 13 is equal to negative 9 A sub 21 is equal to 5 A sub 22 is equal to 7 point 5 A sub 23 is equal to 4 A sub 31 is equal to negative 0 point 5 A sub 32 is equal to 6 A sub 33 is equal to 16 What type of matrix did Mateus create?

Answer
A
a square matrix
B
a zero matrix
C
a diagonal matrix
D
an identity matrix

Explanation

The entries have row and column indices from 1 to 3, so Mateus’s matrix has 3 rows and 3 columns. A matrix with the same number of rows and columns is a square matrix. It is not diagonal because some entries outside the main diagonal, such as A₁₂ = 10, are nonzero.

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