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almond37 [142]
3 years ago
5

Use row reduction to find the inverse of the given matrix if it exists, and check your answer by multiplication. hint [see examp

le 2.] (if the inverse doesn't exist, enter dne in all answer boxes.) 1 6 4 0 1 2 0 0 1
Mathematics
1 answer:
Marianna [84]3 years ago
3 0
The given matrix is
| 1 6 4 |
| 0 1 2 |
| 0 0 1 |

Create the augmented matrix.
|  1  6  4  |  1  0  0  | R1
|  0  1  2  |  0  1  0  | R2
|  0  0  1  |  0  0  1  | R3

R1 -> R1 - 6*R2
|  1  0 -8  |  1 -6  0  | R1
|  0  1  2  |  0  1  0  | R2
|  0  0  1  |  0  0  1  | R3

R1 -> R1 + 8*R3
|  1  0  0  |  1  -6  8  | R1
|  0  1  2  |  0   1  0  | R2
|  0  0  1  |  0  0  1  | R3

R2 -> R2 - 2*R3
|  1  0  0  |  1 -6  8  |
|  0  1  0  |  0  1 -2  |
|  0  0  1  |  0  0  1  |

The inverse is
|  1  -6  8 |
|  0  1  -2 |
|  0  0  1  |

Verification:
| 1 6 4 |  | 1  -6 8 |     | 1  0 0 |
| 0 1 2 |  | 0  1 -2 |  = | 0 1  0 |
| 0 0 1 |  | 0  0  1 |     | 0 0  1 |

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Three friends got jobs at stores in the mall. Nina earns $117.60 for hours 14 of work. Ty earns for $148.50 hours 18 of work. Ki
marysya [2.9K]

Answer:

Kim has the highest pay rate in dollars per hour

Step-by-step explanation:

we know that

To find out the unit pay rate divide the total earning by the total time

so

Nina earns $117.60 for hours 14 of work

\frac{117.60}{14}=\$8.4\ per\ hour

Ty earns for $148.50 hours 18 of work

\frac{148.50}{18}=\$8.25\ per\ hour

Kim earns for $137.60 hours 16 of work

\frac{137.60}{16}=\$8.60\ per\ hour

8.6 > 8.4 > 8.25

therefore

Kim has the highest pay rate in dollars per hour

6 0
3 years ago
A bird is flying 30 feet above sea level and sees a fish 4 feet below sea level. How far will the bird travel to catch the fish
Sergeeva-Olga [200]

34 feet cuz 30+4=34 plus four not minus cuz he’s below sea level

5 0
2 years ago
Need help please !!!
ehidna [41]

Using SOH CAH TOA

Sin =opposite/hypotenuse

that means opposite=2

Hypotenuse=3

Cos=Adjacent/Hypotenuse

Using Pythagorean theorem

Hyp^2=Opp^2 +Adj^2

3^2 =2^2+adj^2

9=4+adj^2

9-4=adj^2

5=adj^2

Taking the square root of both sides

√5=adj

:: cos=√5/3

5 0
3 years ago
The expression 3^2*3^3*3^4 is equivalent to?<br> Show all your work please
loris [4]
Cool! So OK I'll take you through it.
You just need to take everything 1 step at a time, as you might already know.

First
3 to the second is 9

Second
The first part included like this 9*(3 to the third) which is 243

Third
The second part is included into the question like 243*(3 to the fourth) which is 243*81

Fourth
243*81 = 19,683

Your Answer
(3^2)*(3^3)*3^4) = 19,693

Hope That Helps and Correct Me If I'm Wrong!

3 0
3 years ago
Read 2 more answers
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AleksAgata [21]
Sorry just needed points
5 0
2 years ago
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