Question 18 • Advanced Algebra: Concepts and Connections
Which matrix is equal to the 2 by 3 matrix, row 1, column 1, negative 6 column 2, negative 6 point 5 column 3, 1 point 7 row 2, column 1, 2 column 2, negative 8 point 5 column 3, 19 point 3 ?
Answer
A
the 3 by 2 matrix row 1, 6 2 row 2, 6 point 5 8 point 5 row 3, 1 point 7 19 point 3
B
the 2 by 3 matrix, row 1, column 1, negative 6 column 2, negative 6 point 5 column 3, 1 point 7 row 2, column 1, 2 column 2, negative 8 point 5 column 3, 19 point 3
C
the 3 by 2 matrix, row 1, column 1, negative 6 column 2, 2 row 2, column 1, negative 6 point 5 column 2, negative 8 point 5 row 3, column 1, 1 point 7 column 2, 19 point 3
D
the 2 by 3 matrix, row 1, column 1, 6 column 2, 6 point 5 column 3, negative 1 point 7 row 2, column 1, negative 2 column 2, 8 point 5 column 3, negative 19 point 3
Explanation
The given matrix has 2 rows and 3 columns, with rows [−6, −6.5, 1.7] and [2, −8.5, 19.3]. Choice C has the same dimensions and the same entries in the same positions, so it is equal to the given matrix. Choice B rearranges the entries into a 3 by 2 matrix.
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