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, 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
2
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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, 9 column 2, 18 row 2, column 1, negative 13 column 2, negative 14
B
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
C
the 2 by 2 matrix, row 1, column 1, 10 column 2, 20 row 2, column 1, negative 20 column 2, negative 16
D
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
4

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, 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
B
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
C
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
D
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
5

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, 11 column 2, negative 12 row 2, column 1, 5 column 2, 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, negative 7 column 2, negative 2 row 2, column 1, 7 column 2, 0
6

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

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, negative 2 column 2, negative 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, 4 column 2, negative 1 row 2, column 1, 2 column 2, 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

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, 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
B
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
C
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
D
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
11

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, 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, 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, 2 column 2, 5 row 2, column 1, 4 column 2, negative 7
12

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, negative 2 column 2, negative 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, 6 column 2, 9
D
the 2 by 2 matrix, row 1, column 1, 4 column 2, negative 1 row 2, column 1, 2 column 2, 7
13

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, 10 column 2, 20 row 2, column 1, negative 20 column 2, negative 16
B
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
C
the 2 by 2 matrix, row 1, column 1, 9 column 2, 18 row 2, column 1, negative 13 column 2, negative 14
D
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
15

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
1 fourth x plus y is equal to 28 3 fourths x plus 2 y is equal to negative 12
B
negative 8 x plus 3 y is equal to 28 4 x minus y is equal to negative 12
C
1 fourth x plus 3 fourths y is equal to 28 x plus 2 y is equal to negative 12
D
negative 8 x plus 4 y is equal to 28 3 x minus y is equal to negative 12
16

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, 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
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 1 column matrix row 1 2 row 2 negative 3 the 2 by 2 matrix row 1, 2 6 row 2, 0 1
D
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
17

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, 3 column 2, negative 6 row 2, column 1, 2 column 2, 4
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, 5 point 5 column 2, negative 12 point 5 row 2, column 1, 3 point 5 column 2, 7 point 5
18

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, 18 and 1 half column 2, 11 row 2, column 1, 19 column 2, 11
C
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
D
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
19

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 12 row 2, column 1, 5 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 2 row 2, column 1, 7 column 2, 0
20

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, negative 2 column 2, negative 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, 4 column 2, negative 1 row 2, column 1, 2 column 2, 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

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