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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, 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
2
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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 5 row 2, column 1, negative 4 column 2, 7
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, 2 column 2, 11 row 2, column 1, negative 4 column 2, 3
D
the 2 by 2 matrix, row 1, column 1, negative 2 column 2, negative 11 row 2, column 1, 4 column 2, negative 3
3

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, 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.
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 no solutions to the system.
C
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.
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.
4

Which system of linear equations can be solved using the equation the 2 by 1 column matrix x y is equal to the 2 by 2 matrix, row 1, column 1, 1 fourth column 2, 3 fourths row 2, column 1, 1 column 2, 2 the 2 by 1 column matrix row 1 28 row 2 negative 12 ?

A
negative 8 x plus 4 y is equal to 28 3 x minus y is equal to negative 12
B
1 fourth x plus y is equal to 28 3 fourths x plus 2 y is equal to negative 12
C
negative 8 x plus 3 y is equal to 28 4 x minus y is equal to negative 12
D
1 fourth x plus 3 fourths y is equal to 28 x plus 2 y is equal to negative 12
6

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, 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
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, 9 3 row 2, 5 point 5 5
7

If cap A is equal to the 2 by 2 matrix, row 1, column 1, 4 column 2, 2 row 2, column 1, negative 7 column 2, negative 3 and cap b is equal to the 2 by 2 matrix, row 1, column 1, negative 3 column 2, 4 row 2, column 1, negative 1 column 2, 5 , what is the solution to the equation cap A cap x is equal to cap b ?

A
the 2 by 2 matrix, row 1, column 1, negative 14 column 2, 26 row 2, column 1, 24 column 2, negative 43
B
the 2 by 2 matrix, row 1, column 1, 5 and 1 half column 2, negative 11 row 2, column 1, negative 12 and 1 half column 2, 24
C
the 2 by 2 matrix, row 1, column 1, negative 3 halves column 2, 2 row 2, column 1, 1 seventh column 2, negative 1 and 2 thirds
D
the 2 by 2 matrix, row 1, column 1, 18 and 1 half column 2, 11 row 2, column 1, 19 column 2, 11
8

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

The matrix equation can be used to solve a system of linear equations. What is the solution to the system? the 2 by 2 matrix row 1, 6 4 row 2, 9 6 the 2 by 1 column matrix x y is equal to the 2 by 1 column matrix 1 3

A
x is equal to 1 half , y is equal to 1
B
x is equal to 1 tenth , y is equal to 1 fifth
C
The system has infinite solutions.
D
The system has no solution.
10

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, 6 0 row 2, 1 4
D
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

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