All categories

3 years ago

What is the dimension of the null space Null (A) of A =

Mathematics

1 answer:

KatRina [158]3 years ago

6 0

Answer:

the nullity of a matrix A is the demision of its null space:nullity A = dim (n(A).

You might be interested in

Please help I’m so confused (picture has question)

kipiarov [429]

Answer:

Step-by-step explanation:

all you do is go look and see which one is in the exact same spot

3 0

3 years ago

Read 2 more answers

Use the net as an aid to compute the surface area (rounded to the nearest integer) of the triangular pyramid with an equilateral

aleksandrvk [35]

Answer:

Correct answer is $C)\ 254\ m^{2}$

Step-by-step explanation:

As per the given diagram, we know the following details:

Height of the triangular pyramid is 14m.

Side of base = 10m

Height of Triangular base = 8.7m

Formula for surface area of triangular pyramid:

$\text{Area = Area of Triangular base + 3 }\times\text{Area of side triangle}$

(Triangular base is shown in the dotted lines in the question figure.

The other 3 triangles are the side triangles.)

We know that,

$\text{Area of a triangle = }\dfrac{1}{2} \times \text{Base} \times \text{Height}$

$\Rightarrow \text{Required Surface Area = } \dfrac{1}{2} \times 8.7 \times 10 + 3 \times \dfrac{1}{2} \times 14 \times 10\\\Rightarrow \dfrac{1}{2}\times (87 + 3 \times 140)\\\Rightarrow \dfrac{1}{2}\times (87 + 420)\\\Rightarrow \dfrac{1}{2} \times 507\\$\approx$ 254 m^{2}$

Hence correct answer is $C)\ 254\ m^{2}$ .

3 0

3 years ago

A survey reported in Time magazine included the question ‘‘Do you favor a federal law requiring a 15 day waiting period to purch

galben [10]

Answer:

Step-by-step explanation:

Confidence interval for the difference in the two proportions is written as

Difference in sample proportions ± margin of error

Sample proportion, p= x/n

Where x = number of success

n = number of samples

For the men,

x = 318

n1 = 520

p1 = 318/520 = 0.61

For the women

x = 379

n2 = 460

p2 = 379/460 = 0.82

Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, confidence level of 95% is 1.96

Margin of error = 1.96 × √[0.61(1 - 0.61)/520 + 0.82(1 - 0.82)/460]

= 1.96 × √0.0004575 + 0.00032086957)

= 0.055

Confidence interval = 0.61 - 0.82 ± 0.055

= - 0.21 ± 0.055

3 0

3 years ago

Write Y=4/3x-4 in slope intercept form

sergij07 [2.7K]

Answer:

Y=4/3x-4

Step-by-step explanation:

You have it in slope intercept form =)

7 0

3 years ago

Put the following equation of a line into slope-intercept form, simplifying all fractions. 5x+6y=42

Sever21 [200]

Answer:

$y=-\frac{5}{6} + 7$

Step-by-step explanation:

Slope-intercept formula requires us to isolate the y variable. We can do this in just a couple of steps.

1) Move 5x from the left to the right side by subtracting 5x from both sides. This cancels out the 5x on the left side, and remember, what we do to one side we must do to the other to keep the equation balanced.

$6y=-5x+42$

2) Divide both sides by 6. Again, we are cancelling out the 6 on the left but we must also divide on the right. This would mean dividing -5 and 42 by 6 to get:

$y=-\frac{5}{6} + 7$

4 0

2 years ago

What is the dimension of the null space Null (A) of A = ​

What is the dimension of the null space Null (A) of A =