Introduction to Matrices — Quiz

Question 1 • Advanced Algebra: Concepts and Connections

Which is a square matrix?

Answer

the 4 by 4 matrix, row 1, column 1, 0 column 2, 0 column 3, negative 6 column 4, negative 18 row 2, column 1, 1 column 2, negative 4 column 3, 0 column 4, 3 point 5 row 3, column 1, 0 column 2, negative 20 column 3, 7 column 4, 8 row 4, column 1, 4 column 2, negative 0 point 4 column 3, 16 column 4, 18 point 5

the 3 by 4 matrix, row 1, column 1, 2 column 2, 3 column 3, negative 8 column 4, 1 row 2, column 1, negative 5 column 2, 19 column 3, 0 column 4, negative 3 row 3, column 1, 5 point 6 column 2, 7 point 8 column 3, 6 column 4, 78

the 4 by 5 matrix, row 1, column 1, 0 column 2, 1 column 3, 8 column 4, 0 column 5, negative 2 row 2, column 1, 5 column 2, 8 column 3, 7 column 4, 0 column 5, 1 row 3, column 1, 9 column 2, 14 column 3, 0 column 4, 0 column 5, negative 8 row 4, column 1, 0 column 2, 0 column 3, 5 column 4, 4 column 5, 16

the 3 by 4 matrix, row 1, column 1, 2 column 2, 3 column 3, negative 8 column 4, 0 row 2, column 1, negative 5 column 2, 19 column 3, 0 column 4, 0 row 3, column 1, 5 column 2, 8 column 3, 6 column 4, 0

Explanation

A square matrix has the same number of rows and columns. Choice A is a 4 by 4 matrix, so it is square. Choices B and D are 3 by 4, and choice C is 4 by 5; those have different numbers of rows and columns.

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