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lina2011 [118]
4 years ago
6

g Are the following statements true or false? 1. Any linear combination of vectors can always be written in the form Ax for a su

itable matrix A and vector x.
Mathematics
1 answer:
NISA [10]4 years ago
6 0

Answer:

The statement is true that any linear combination of vectors can always be written in the form Ax for suitable matrix A and vector x.

Step-by-step explanation:

Let

a1x1 + a2x2 + a3x3 + ... + anxn = d1

b1x1 + b2x2 + b3x3 + ... + bnxn = d2

.

.

.

c1x1 + c2x2 + c3x3 + ... + cnxn = dn

be a linear system, and let

[a1 a2 a3 ... an][x1] = [d1]

[b1 b2 b3 ... bn][x2] [d2]

[. . . .

[. . . .

[. . . .

[c1 c2 c3 ... cn][xn] [dn]

be the augmented matrix of the linear system. The augmented matrix can be represented as Ax = d

Where A is the matrix of (a1, a2,...., an), x is (x1, x2, x3, ..., xn), and d = (d1, d2, d3,..., dn) .

The solution set to the linear system is the same as the solution set of Ax = d.

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what is the total weight of the italian Sandwhich?write the amount as a fraction in simplest form,meat:0.35,vegie:0.15,sauce:0.0
Olegator [25]
The total weight of the Italian sandwich in its simplest fraction is 3/5.

meat      : 0.35  in fraction 35/100
veggies : 0.15 in fraction 15/100
sauce    : 0.05 in fraction 5/100
bread     : 0.05 in fraction 5/100

Total weight = 35/100 + 15/100 + 5/100 + 5/100
                    = (35 + 15 + 5 + 5) / 100
                    = 60/100

To simplify the fraction:

60/100 ⇒ 60 ÷ 10 = 6 ; 100 ÷ 10 = 10 ⇒ 6/10
6/10 ⇒ 6 ÷ 2 = 3 ; 10 ÷ 2 = 5 ⇒ 3/5

7 0
3 years ago
Read 2 more answers
Please help me with precal
Doss [256]

Consider the function f(x)=\sqrt{x}. This function has:

  • the domain x\in [0,\infty);
  • the range y\in [0,\infty).

If the domain of unknown function is [a,\infty), then x\ge a or x-a\ge 0. This means that you have \sqrt{x-a} as a part of needed function.

If the range of unknown function is [b,\infty), then y\ge b. This means that you have to translate function b units up and then the expression of the function is

y=\sqrt{x-a}+b.

Answer: correct choice is B.

6 0
3 years ago
3(h - 7) + 3 = 9 what is H =
MrRissso [65]

Answer:

9

Step-by-step explanation:

3(h-7)+3=9

3h-21+3=9

3h-18=9

3h=9+18

3h=27

h=27/3

h=9

Please mark me as Brainliest if you're satisfied with the answer.

7 0
3 years ago
Read 2 more answers
A random sample of 100 automobile owners in thestate of Virginia shows that an automobile is driven onaverage 23,500 kilometers
Anastaziya [24]

Answer:

a) 22497.7 < μ< 24502.3

b)  With 99% confidence the possible error will not exceed 1002.3

Step-by-step explanation:

Given that:

Mean (μ) = 23500 kilometers per year

Standard deviation (σ) = 3900 kilometers

Confidence level (c) = 99% = 0.99

number of samples (n) = 100

a) α = 1 - c = 1 - 0.99 = 0.01

\frac{\alpha }{2} =\frac{0.01}{2}=0.005\\ z_{\frac{\alpha }{2}}=z_{0.005}=2.57

Using normal distribution table, z_{0.005 is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.

The margin of error (e) is given as:

e= z_{0.005}\frac{\sigma}{\sqrt{n} }  = 2.57*\frac{3900}{\sqrt{100} } =1002.3

The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) =  (22497.7, 24502.3)

Confidence interval = 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

5 0
4 years ago
Two number cubes are tossed. Find P(1, then 2 or 3).
Andreyy89

Answer:

1/2

Step-by-step explanation:

6 0
3 years ago
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