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Sever21 [200]
3 years ago
5

What is the value of the one in the number 9.154

Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0
4 is in the ones place

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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
What is the value of x4 + 5.2y, when x = 2 and y = 3? (10 point) Question 12 options: 1) 23.6 2) 24.6 3) 27.6 4) 39.6
Firdavs [7]

Answer:

23.6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How to write 4408730 in expanded form
Vedmedyk [2.9K]
4,408,730 = 4,000,000 + 400,000 + <span>8,000 + 700 + 30 </span>
3 0
3 years ago
Read 2 more answers
Francesca wants to convert 1 meter to feet. Use what you know about customary measures to explain how she could do this.
Volgvan
Turn the feet into meters 1 meter = 100cm and if there is 12cms in a foot than divide 100cm by 12cm and you get 8.3ft
5 0
3 years ago
Calculate the future value of $51,123.21, earning interest at a rate of that is compounded daily for 20 years and 2 months (use
mina [271]

The compound interest formula is : A = P(1+ \frac{r}{n})^n ^t

where, A= Future value including the interest,

P= Principle amount, r= rate of interest in decimal form,

t= number of years and n= number of compounding in a year

Here, in this problem P= $ 51,123.21 , t= 20 years and 2 months

So, t= 20 + (2/12) years

t= 20 + 0.17 = 20.17 years

As the amount is compounded daily, so n= (12×30)= 360 [Using the traditional Banker’s rule of 30 days per month]

Thus, A = 51,123.21( 1+ \frac{r}{360})^3^6^0^*^2^0^.^1^7

A= 51,123.21 (1+\frac{r}{360})^7^2^6^1^.^2

When the interest rate is given, then we can use this equation for finding the future value.

3 0
3 years ago
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