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alina1380 [7]
3 years ago
10

Margot used

Mathematics
1 answer:
Jlenok [28]3 years ago
4 0
The answer to this question is 32
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Find the inverse of the following matrix without using a calculator 1-1 2 -3 2 1 0 4 - 25
Artist 52 [7]

Answer:

18  -(17/3)   (5/3)

25  (25/3)  (7/3)

4    (4/3)     (1/3)

Step-by-step explanation:

You can solve this problem by using the Gauss-Jordan method.

You have the original matrix and then the Identity matrix.

So:

Original              Identity

1 -1 2                    1 0 0

-3 2 1                   0 1 0

0 4 -25                0 0 1

By the Gauss-Jordan method, in the original place you will have the identity and in the place that the identity currently is you will have the inverse matrix:

So, let's start by setting the first row element to 0 in the second and the third line.

The first row element of the third line is already at zero, so no changes there. In the second line, we need to do:

L2 = L2 + 3L1

So now we have the following matrixes.

1 -1 2        |            1 0 0

0 -1 7       |            3 1 0        

0  4 -25   |            0 0 1

Now we need the element in the second line, second row to be 1. So we do:

L2 = -L2

1 -1 2        |            1 0 0

0 1 -7       |            -3 -1 0        

0  4 -25   |            0 0 1

Now, in the second row, we need to make the elements at the first and third line being zero. So, we have the following operations:

L1 = L1 + L2

L3 = L3 - 4L2

Now our matrixes are:

1 0 -5       |            -2 -1 0

0 1 -7       |            -3 -1 0        

0 0 3       |            12 4 1

Now we need the element in the third line, third row being one. So we do:

L3 = -L3

1 0 -5       |            -2  -1     0

0 1 -7       |            -3  -1      0        

0 0 1       |            4    (4/3) (1/3)

Now, in the third row, we need the elements in the first and second line being zero. So we do:

L1 = L1 + 5L3

L2 = L2 + 7L3

So we have:

1 0 0 |       18  -(17/3)   (5/3)

0 1 0 |       25  (25/3)  (7/3)

0 0 1 |       4    (4/3)     (1/3)

So the inverse matrix is:

18  -(17/3)   (5/3)

25  (25/3)  (7/3)

4    (4/3)     (1/3)

4 0
3 years ago
Mr. Osterhout is putting trim around the edge of a circular merry-go-round that has a diameter of 15 feet. How much trim does he
Lubov Fominskaja [6]
Given:
circular merry-go-round that has a diameter of 15 feet.

Find: How much trim does he need to buy to put around the edge of the merry-go-round?

We need to find the circumference of the merry-go-round to get the measurement of the trim needed.

Circumference = π d
π = 3.14
d = diameter = 15 feet

Circumference = 3.14 * 15 feet
Circumference = 47.10 feet.

Mr. Osterhout needs to buy 47.10 feet of trim to put around the circular merry-go-round.
8 0
3 years ago
2n + 4n = 42<br><br> Answer: the value of n is .....
Gennadij [26K]

Answer:

7

Step-by-step explanation:

2n + 4n = 6n, adding like terms

6n = 42

6n/6 = 42/6

n = 7

5 0
3 years ago
Read 2 more answers
I need help with this!
timurjin [86]

Answer:

a=11

Step-by-step explanation:

Let's solve your equation step-by-step.

√a+5=4

Solve Square Root.

√a+5=4

a+5=42(Square both sides)

a+5=16

a+5−5=16−5(Subtract 5 from both sides)

a=11

Check answers. (Plug them in to make sure they work.)

a=11(Works in original equation)

8 0
3 years ago
Read 2 more answers
Form an equation use the letter x for a unknown answer
Nata [24]

Answer:

When you use x its to replace a number

6 0
3 years ago
Read 2 more answers
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