18
QuizMultiple Choice

Scalar and Matrix Multiplication — Quiz

Question 18 • Advanced Algebra: Concepts and Connections

Each column of the matrix cap t is equal to the 2 by 3 matrix row 1, 0 0 3 row 2, 0 3 0 represents a vertex of a triangle. If Rosa scales the triangle by finding 3 cap t , what are the vertices of the scaled triangle?

Answer
A
open paren 0 comma 0 close paren comma open paren 0 comma 9 close paren comma open paren 9 comma 0 close paren
B
open paren 3 comma 3 close paren comma open paren 3 comma 9 close paren comma open paren 9 comma 3 close paren
C
open paren 0 comma 0 close paren comma open paren 0 comma 6 close paren comma open paren 6 comma 0 close paren
D
open paren 3 comma 3 close paren comma open paren 0 comma 9 close paren comma open paren 9 comma 0 close paren

Explanation

The columns of the matrix are the triangle’s vertices: (0, 0), (0, 3), and (3, 0). Scaling by 3 multiplies each coordinate by 3, giving (0, 0), (0, 9), and (9, 0). These are the vertices in choice A.

AI-written and checked against the verified answer.

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