Solving Matrix Equations — Quiz Answers

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Given cap r is equal to the 2 by 2 matrix, row 1, column 1, 0 column 2, 3 row 2, column 1, negative 4 column 2, 5 and cap s is equal to the 2 by 2 matrix, row 1, column 1, negative 2 column 2, negative 8 row 2, column 1, 0 column 2, 2 What is cap x if cap x plus cap r is equal to cap s ?

A
the 2 by 2 matrix, row 1, column 1, negative 2 column 2, negative 11 row 2, column 1, 4 column 2, negative 3
B
the 2 by 2 matrix, row 1, column 1, negative 2 column 2, negative 5 row 2, column 1, negative 4 column 2, 7
C
the 2 by 2 matrix, row 1, column 1, 2 column 2, 11 row 2, column 1, negative 4 column 2, 3
D
the 2 by 2 matrix, row 1, column 1, 2 column 2, 5 row 2, column 1, 4 column 2, negative 7
23

Given matrix cap y is equal to the 2 by 2 matrix, row 1, column 1, 4 column 2, 8 row 2, column 1, negative 3 column 2, negative 6 and matrix cap z is equal to the 2 by 2 matrix, row 1, column 1, negative 1 column 2, negative 2 row 2, column 1, 7 column 2, 2 What is matrix cap x if 1 half times open paren cap x plus cap z close paren is equal to cap y ?

A
the 2 by 2 matrix, row 1, column 1, 3 column 2, 6 row 2, column 1, negative 8 point 5 column 2, negative 5
B
the 2 by 2 matrix, row 1, column 1, 10 column 2, 20 row 2, column 1, negative 20 column 2, negative 16
C
the 2 by 2 matrix, row 1, column 1, 2 point 5 column 2, 5 row 2, column 1, negative 5 column 2, negative 4
D
the 2 by 2 matrix, row 1, column 1, 9 column 2, 18 row 2, column 1, negative 13 column 2, negative 14
24

Given: cap A is equal to the 2 by 2 matrix, row 1, column 1, negative 3 column 2, negative 4 row 2, column 1, 1 column 2, 0 , cap b is equal to the 2 by 2 matrix, row 1, column 1, negative 7 column 2, negative 9 row 2, column 1, 4 column 2, negative 1 , and cap c is equal to the 2 by 2 matrix, row 1, column 1, negative 42 column 2, negative 20 row 2, column 1, 5 column 2, 4 What is the value of cap x in the matrix equation cap A cap x plus cap b is equal to cap c ?

A
cap x is equal to the 2 by 2 matrix row 1, 9 3 row 2, 5 point 5 5
B
cap x is equal to the 2 by 2 matrix, row 1, column 1, 101 column 2, 13 row 2, column 1, negative 35 column 2, negative 11
C
cap x is equal to the 2 by 2 matrix, row 1, column 1, 1 column 2, 5 row 2, column 1, 8 column 2, negative 1
D
cap x is equal to the 2 by 2 matrix, row 1, column 1, 2 point 7 5 column 2, negative 26 point 2 5 row 2, column 1, 1 point 7 5 column 2, negative 2 point 7 5
25

Matrix cap A is equal to the 2 by 2 matrix, row 1, column 1, 6 column 2, negative 12 row 2, column 1, 4 column 2, 8 What is matrix cap x if 1 half cap x is equal to cap A ?

A
the 2 by 2 matrix, row 1, column 1, 12 column 2, negative 24 row 2, column 1, 8 column 2, 16
B
the 2 by 2 matrix, row 1, column 1, 5 point 5 column 2, negative 12 point 5 row 2, column 1, 3 point 5 column 2, 7 point 5
C
the 2 by 2 matrix, row 1, column 1, 6 point 5 column 2, negative 11 point 5 row 2, column 1, 4 point 5 column 2, 8 point 5
D
the 2 by 2 matrix, row 1, column 1, 3 column 2, negative 6 row 2, column 1, 2 column 2, 4
26

Given cap A is equal to the 2 by 2 matrix, row 1, column 1, 2 column 2, negative 7 row 2, column 1, 6 column 2, 1 and cap b is equal to the 2 by 2 matrix, row 1, column 1, negative 9 column 2, 5 row 2, column 1, 1 column 2, negative 1 If cap x minus cap A is equal to cap b , what is cap x ?

A
the 2 by 2 matrix, row 1, column 1, negative 7 column 2, negative 2 row 2, column 1, 7 column 2, 0
B
the 2 by 2 matrix, row 1, column 1, negative 11 column 2, 12 row 2, column 1, negative 5 column 2, negative 2
C
the 2 by 2 matrix, row 1, column 1, negative 7 column 2, negative 12 row 2, column 1, 5 column 2, 0
D
the 2 by 2 matrix, row 1, column 1, 11 column 2, negative 12 row 2, column 1, 5 column 2, 2
27

The number of girls, g , in a room is four more than two times the number of boys, b Half of the number of girls in the room minus the number of boys is 2 The equations represent the situation. g is equal to 4 plus 2 b 1 half g minus b is equal to 2 Which is true?

A
the 2 by 2 matrix, row 1, column 1, 1 column 2, 2 row 2, column 1, 1 half column 2, negative 1 the 2 by 1 column matrix g b is equal to the 2 by 1 column matrix 4 2 ; There are eight girls and zero boys in the room.
B
the 2 by 2 matrix, row 1, column 1, 1 column 2, negative 2 row 2, column 1, 1 half column 2, negative 1 the 2 by 1 column matrix g b is equal to the 2 by 1 column matrix 4 2 ; There are infinite solutions to the system.
C
the 2 by 2 matrix, row 1, column 1, 1 column 2, negative 2 row 2, column 1, 1 half column 2, negative 1 the 2 by 1 column matrix g b is equal to the 2 by 1 column matrix 4 2 ; There are no solutions to the system.
D
the 2 by 2 matrix, row 1, column 1, 1 column 2, 2 row 2, column 1, 1 half column 2, negative 1 the 2 by 1 column matrix g b is equal to the 2 by 1 column matrix 4 2 ; There are four girls and zero boys in the room.
28

Given cap A is equal to the 3 by 3 matrix, row 1, column 1, negative 1 column 2, negative 2 column 3, 3 row 2, column 1, 4 column 2, 8 column 3, negative 6 row 3, column 1, 0 column 2, 1 column 3, 5 and cap b is equal to the 3 by 3 matrix, row 1, column 1, negative 5 column 2, negative 1 column 3, 6 row 2, column 1, 4 column 2, 1 column 3, 2 row 3, column 1, 0 column 2, negative 3 column 3, 2 What is cap x if cap b minus cap x is equal to cap A ?

A
the 3 by 3 matrix, row 1, column 1, 4 column 2, negative 1 column 3, negative 3 row 2, column 1, 0 column 2, 7 column 3, negative 8 row 3, column 1, 0 column 2, 4 column 3, 3
B
the 3 by 3 matrix, row 1, column 1, negative 6 column 2, negative 3 column 3, 9 row 2, column 1, 8 column 2, 9 column 3, negative 4 row 3, column 1, 0 column 2, negative 2 column 3, 7
C
the 3 by 3 matrix, row 1, column 1, negative 4 column 2, 1 column 3, 3 row 2, column 1, 0 column 2, negative 7 column 3, 8 row 3, column 1, 0 column 2, negative 4 column 3, negative 3
D
the 3 by 3 matrix, row 1, column 1, 6 column 2, 3 column 3, negative 9 row 2, column 1, negative 8 column 2, negative 9 column 3, 4 row 3, column 1, 0 column 2, 2 column 3, negative 7
29

Which equation can be used to solve the 2 by 2 matrix row 1, 2 6 row 2, 0 1 the 2 by 1 column matrix row 1 x sub 1 row 2 x sub 2 is equal to the 2 by 1 column matrix row 1 2 row 2 negative 3 ?

A
the 2 by 1 column matrix row 1 x sub 1 row 2 x sub 2 is equal to the 2 by 2 matrix row 1, 2 6 row 2, 0 1 the 2 by 1 column matrix row 1 2 row 2 negative 3
B
the 2 by 1 column matrix row 1 x sub 1 row 2 x sub 2 is equal to the 2 by 2 matrix, row 1, column 1, 0 point 5 column 2, negative 3 row 2, column 1, 0 column 2, 1 the 2 by 1 column matrix row 1 2 row 2 negative 3
C
the 2 by 1 column matrix row 1 x sub 1 row 2 x sub 2 is equal to the 2 by 2 matrix, row 1, column 1, 1 column 2, negative 6 row 2, column 1, 0 column 2, 2 the 2 by 1 column matrix row 1 2 row 2 negative 3
D
the 2 by 1 column matrix row 1 x sub 1 row 2 x sub 2 is equal to the 2 by 1 column matrix row 1 2 row 2 negative 3 the 2 by 2 matrix row 1, 2 6 row 2, 0 1
31

Which equation can be used to solve the matrix equation the 2 by 2 matrix, row 1, column 1, 1 half column 2, negative 1 fourth row 2, column 1, 2 column 2, negative 3 fourths the 2 by 1 column matrix x y is equal to the 2 by 2 matrix, row 1, column 1, 2 column 2, negative 4 row 2, column 1, 1 column 2, 6 ?

A
the 2 by 1 column matrix x y is equal to the 2 by 2 matrix, row 1, column 1, 2 column 2, negative 4 row 2, column 1, 1 column 2, 6 the 2 by 2 matrix, row 1, column 1, negative 3 fourths column 2, 1 fourth row 2, column 1, negative 2 column 2, 1 half
B
the 2 by 1 column matrix x y is equal to the 2 by 2 matrix, row 1, column 1, negative 6 column 2, 2 row 2, column 1, negative 16 column 2, 4 the 2 by 2 matrix, row 1, column 1, 2 column 2, negative 4 row 2, column 1, 1 column 2, 6
C
the 2 by 1 column matrix x y is equal to the 2 by 2 matrix, row 1, column 1, 2 column 2, negative 4 row 2, column 1, 1 column 2, 6 the 2 by 2 matrix, row 1, column 1, negative 6 column 2, 2 row 2, column 1, negative 16 column 2, 4
D
the 2 by 1 column matrix x y is equal to the 2 by 2 matrix, row 1, column 1, negative 3 fourths column 2, 1 fourth row 2, column 1, negative 2 column 2, 1 half the 2 by 2 matrix, row 1, column 1, 2 column 2, negative 4 row 2, column 1, 1 column 2, 6
32

Which equation can be used to solve the matrix equation the 2 by 2 matrix, row 1, column 1, 1 half column 2, negative 1 fourth row 2, column 1, 2 column 2, negative 3 fourths the 2 by 1 column matrix x y is equal to the 2 by 2 matrix, row 1, column 1, 2 column 2, negative 4 row 2, column 1, 1 column 2, 6 ?

A
the 2 by 1 column matrix x y is equal to the 2 by 2 matrix, row 1, column 1, negative 3 fourths column 2, 1 fourth row 2, column 1, negative 2 column 2, 1 half the 2 by 2 matrix, row 1, column 1, 2 column 2, negative 4 row 2, column 1, 1 column 2, 6
B
the 2 by 1 column matrix x y is equal to the 2 by 2 matrix, row 1, column 1, 2 column 2, negative 4 row 2, column 1, 1 column 2, 6 the 2 by 2 matrix, row 1, column 1, negative 6 column 2, 2 row 2, column 1, negative 16 column 2, 4
C
the 2 by 1 column matrix x y is equal to the 2 by 2 matrix, row 1, column 1, negative 6 column 2, 2 row 2, column 1, negative 16 column 2, 4 the 2 by 2 matrix, row 1, column 1, 2 column 2, negative 4 row 2, column 1, 1 column 2, 6
D
the 2 by 1 column matrix x y is equal to the 2 by 2 matrix, row 1, column 1, 2 column 2, negative 4 row 2, column 1, 1 column 2, 6 the 2 by 2 matrix, row 1, column 1, negative 3 fourths column 2, 1 fourth row 2, column 1, negative 2 column 2, 1 half
33

Given cap r is equal to the 2 by 2 matrix, row 1, column 1, 0 column 2, 3 row 2, column 1, negative 4 column 2, 5 and cap s is equal to the 2 by 2 matrix, row 1, column 1, negative 2 column 2, negative 8 row 2, column 1, 0 column 2, 2 What is cap x if cap x plus cap r is equal to cap s ?

A
the 2 by 2 matrix, row 1, column 1, 2 column 2, 11 row 2, column 1, negative 4 column 2, 3
B
the 2 by 2 matrix, row 1, column 1, 2 column 2, 5 row 2, column 1, 4 column 2, negative 7
C
the 2 by 2 matrix, row 1, column 1, negative 2 column 2, negative 11 row 2, column 1, 4 column 2, negative 3
D
the 2 by 2 matrix, row 1, column 1, negative 2 column 2, negative 5 row 2, column 1, negative 4 column 2, 7
35

What is the solution to the equation negative cap m plus cap k cap x is equal to cap j ? cap m is equal to the 2 by 2 matrix, row 1, column 1, negative 4 column 2, 0 row 2, column 1, 4 column 2, negative 1 cap k is equal to the 2 by 2 matrix row 1, 1 3 row 2, 4 3 cap j is equal to the 2 by 2 matrix row 1, 13 12 row 2, 23 13

A
cap x is equal to the 2 by 2 matrix row 1, 57 63 row 2, 75 117
B
cap x is equal to the 2 by 2 matrix, row 1, column 1, 2 thirds column 2, 2 thirds row 2, column 1, 5 and 4 ninths column 2, 3 and 7 ninths
C
cap x is equal to the 2 by 2 matrix, row 1, column 1, 2 and 1 third column 2, 1 and 2 thirds row 2, column 1, negative 3 and 2 thirds column 2, 7 and 2 thirds
D
cap x is equal to the 2 by 2 matrix row 1, 6 0 row 2, 1 4
36

What is cap x if the 2 by 2 matrix, row 1, column 1, negative 1 column 2, negative 2 row 2, column 1, 4 column 2, 8 plus cap x is equal to the 2 by 2 matrix, row 1, column 1, negative 5 column 2, negative 1 row 2, column 1, 2 column 2, 1 ?

A
the 2 by 2 matrix, row 1, column 1, negative 6 column 2, negative 3 row 2, column 1, 6 column 2, 9
B
the 2 by 2 matrix, row 1, column 1, negative 6 column 2, negative 3 row 2, column 1, negative 2 column 2, negative 7
C
the 2 by 2 matrix, row 1, column 1, 4 column 2, negative 1 row 2, column 1, 2 column 2, 7
D
the 2 by 2 matrix, row 1, column 1, negative 4 column 2, 1 row 2, column 1, negative 2 column 2, negative 7
37

Given cap A is equal to the 2 by 2 matrix, row 1, column 1, 2 column 2, negative 7 row 2, column 1, 6 column 2, 1 and cap b is equal to the 2 by 2 matrix, row 1, column 1, negative 9 column 2, 5 row 2, column 1, 1 column 2, negative 1 If cap x minus cap A is equal to cap b , what is cap x ?

A
the 2 by 2 matrix, row 1, column 1, negative 11 column 2, 12 row 2, column 1, negative 5 column 2, negative 2
B
the 2 by 2 matrix, row 1, column 1, negative 7 column 2, negative 2 row 2, column 1, 7 column 2, 0
C
the 2 by 2 matrix, row 1, column 1, 11 column 2, negative 12 row 2, column 1, 5 column 2, 2
D
the 2 by 2 matrix, row 1, column 1, negative 7 column 2, negative 12 row 2, column 1, 5 column 2, 0

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