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Scalar and Matrix Multiplication — Quiz Answers

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1
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What is the product? 6 times the 2 by 3 matrix, row 1, column 1, 4 column 2, negative 2 column 3, 1 row 2, column 1, 7 column 2, 3 column 3, 0

A
the 2 by 3 matrix, row 1, column 1, 24 column 2, negative 12 column 3, 6 row 2, column 1, 42 column 2, 18 column 3, 0
B
the 2 by 3 matrix, row 1, column 1, 4 column 2, negative 12 column 3, 6 row 2, column 1, 7 column 2, 18 column 3, 0
C
the 2 by 3 matrix row 1, 10 4 7 row 2, 13 9 6
D
the 2 by 3 matrix, row 1, column 1, 24 column 2, negative 12 column 3, 6 row 2, column 1, 7 column 2, 3 column 3, 0
2
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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?

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 0 comma 9 close paren comma open paren 9 comma 0 close paren
C
open paren 3 comma 3 close paren comma open paren 3 comma 9 close paren comma open paren 9 comma 3 close paren
D
open paren 0 comma 0 close paren comma open paren 0 comma 6 close paren comma open paren 6 comma 0 close paren
3

If cap r is equal to the 2 by 2 matrix, row 1, column 1, 3 column 2, 7 row 2, column 1, negative 2 column 2, negative 11 , what is 4 cap r ?

A
the 2 by 2 matrix, row 1, column 1, 7 column 2, 28 row 2, column 1, 2 column 2, negative 44
B
the 2 by 2 matrix, row 1, column 1, 12 column 2, 7 row 2, column 1, negative 2 column 2, negative 44
C
the 2 by 2 matrix, row 1, column 1, 7 column 2, 11 row 2, column 1, 2 column 2, negative 7
D
the 2 by 2 matrix, row 1, column 1, 12 column 2, 28 row 2, column 1, negative 8 column 2, negative 44
4

What is the product? 1 half times the 2 by 2 matrix row 1, 12 64 row 2, 78 30

A
the 2 by 2 matrix row 1, 6 32 row 2, 39 15
B
the 2 by 2 matrix row 1, 6 64 row 2, 78 30
C
the 2 by 2 matrix row 1, 6 64 row 2, 39 30
D
the 2 by 2 matrix row 1, 6 32 row 2, 78 30
5

What is the product? negative 4 times the 4 by 1 matrix, row 1, column 1, 8 row 2, column 1, negative 1 row 3, column 1, negative 5 row 4, column 1, 9

A
the 4 by 1 matrix, row 1, column 1, 32 row 2, column 1, negative 4 row 3, column 1, negative 20 row 4, column 1, 36
B
the 4 by 1 matrix, row 1, column 1, negative 32 row 2, column 1, 4 row 3, column 1, 20 row 4, column 1, negative 36
C
the 4 by 1 matrix, row 1, column 1, negative 32 row 2, column 1, negative 1 row 3, column 1, negative 5 row 4, column 1, 9
D
the 4 by 1 matrix, row 1, column 1, 4 row 2, column 1, negative 5 row 3, column 1, negative 9 row 4, column 1, 5
6

What is the product? 3 times the 1 by 4 matrix, row 1, column 1, 1 column 2, negative 4 column 3, 5 column 4, negative 7

A
the 1 by 4 matrix, row 1, column 1, 4 column 2, negative 12 column 3, 8 column 4, negative 21
B
the 1 by 4 matrix, row 1, column 1, 4 column 2, negative 1 column 3, 8 column 4, negative 4
C
the 1 by 4 matrix, row 1, column 1, 3 column 2, negative 12 column 3, 15 column 4, negative 21
D
the 1 by 4 matrix, row 1, column 1, 3 column 2, 12 column 3, 15 column 4, 21
7

What is the product? 2 times the 2 by 1 column matrix row 1 negative 1 row 2 0

A
the 2 by 1 column matrix 1 2
B
the 2 by 1 column matrix row 1 negative 2 row 2 0
C
the 2 by 1 column matrix 2 0
D
the 2 by 1 column matrix row 1 negative 2 row 2 2
8

What is the product? 5 the 3 by 3 matrix, row 1, column 1, 2 column 2, 3 column 3, 4 row 2, column 1, 9 column 2, negative 1 column 3, negative 7 row 3, column 1, 11 column 2, 5 column 3, negative 3

A
the 3 by 3 matrix, row 1, column 1, 10 column 2, 3 column 3, 4 row 2, column 1, 45 column 2, negative 1 column 3, negative 7 row 3, column 1, 55 column 2, 5 column 3, negative 3
B
the 3 by 3 matrix, row 1, column 1, 10 column 2, 15 column 3, 20 row 2, column 1, 45 column 2, negative 5 column 3, negative 35 row 3, column 1, 55 column 2, 25 column 3, negative 15
C
the 3 by 3 matrix, row 1, column 1, 7 column 2, 8 column 3, 9 row 2, column 1, 14 column 2, 4 column 3, negative 2 row 3, column 1, 16 column 2, 10 column 3, 2
D
the 3 by 3 matrix, row 1, column 1, 7 column 2, 15 column 3, 20 row 2, column 1, 14 column 2, negative 5 column 3, negative 35 row 3, column 1, 16 column 2, 25 column 3, negative 15
9

If cap r is equal to the 2 by 2 matrix, row 1, column 1, 3 column 2, 7 row 2, column 1, negative 2 column 2, negative 11 , what is 4 cap r ?

A
the 2 by 2 matrix, row 1, column 1, 12 column 2, 7 row 2, column 1, negative 2 column 2, negative 44
B
the 2 by 2 matrix, row 1, column 1, 7 column 2, 11 row 2, column 1, 2 column 2, negative 7
C
the 2 by 2 matrix, row 1, column 1, 12 column 2, 28 row 2, column 1, negative 8 column 2, negative 44
D
the 2 by 2 matrix, row 1, column 1, 7 column 2, 28 row 2, column 1, 2 column 2, negative 44
10

What is the product? 1 half times the 2 by 2 matrix row 1, 12 64 row 2, 78 30

A
the 2 by 2 matrix row 1, 6 64 row 2, 78 30
B
the 2 by 2 matrix row 1, 6 64 row 2, 39 30
C
the 2 by 2 matrix row 1, 6 32 row 2, 78 30
D
the 2 by 2 matrix row 1, 6 32 row 2, 39 15

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