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Alex73 [517]
2 years ago
5

(1) Let T: Rn--->Rm be linear tranformations.

Mathematics
1 answer:
Ray Of Light [21]2 years ago
6 0

Answer:

Check the explanation

Step-by-step explanation:

1.

(a)

n>=m

(b)

n <= m

(c)

n=m

2.

(a)

let T(v1) = T(v2)

=>

T(v1)-T(v2) = 0

=>

T(v1-v2) = 0

=>

v1-v2 = 0 from the hypothesis

=>

v1=v2

=>

T is one-one

thus proved

(b)

lets assume T is onto, we already know that T is one-one, so from above problem (third case where m=n)

we should have 3=4 which is impossible

so T is NOT onto.

3.

we need to find a,b such that

T(a,b) =(a,b)

=>

a= b

=>

points on the line x=y are the required points

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Rectangles A and B have the same perimeter but are different shapes Rectangle S is 5 inches long and 3 inches wide. Rectangle B
koban [17]
We know that
perimeter rectangle A=2*[5+3]-----> 16 in

let
x------> length side rectangle B
y-------> width  side rectangle B
so
x=6+y-------> equation 1
16=2[x+y]------> equation 2
<span>I substitute 1 in 2
</span>16=2*[6+y+y]-------> 16=2*[6+2y]-----> 16=12+4y-----> 4y=16-12
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4 0
3 years ago
A store charges 5.5 % sales tax on all items. If an item costs d dollars before tax, which expression represents the total cost
Black_prince [1.1K]

Answer: d + 0.055d or 1.055d

Step-by-step explanation:

Cost of item = d

Sales tax percent = 5.5%

Total cost = Cost of item + Sales tax

= d + (5.5% × d)

= d + (5.5/100 × d)

= d + (0.055 × d)

= d + 0.055d

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Therefore, the expression that represents the total cost of the item, in dollars and cents, after tax will be:

d + 0.055d or 1.055d.

7 0
3 years ago
Nth term of this sequence 1, 10, 19, 28
mestny [16]

Answer:

The nth term of the sequence is

<h2>9n - 8</h2>

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 1

d = 10 - 1 = 9 or 19 - 10 = 9 or 28 - 19 = 9

So the nth term of the sequence is

A(n) = 1 + (n - 1)9

= 1 + 9n - 9

= 9n - 8

<h3>A(n) = 9n - 8</h3>

Hope this helps you

3 0
2 years ago
Determine the radius, to the nearest inch, of a large can of tuna fish that has a volume of 66 cubic
Mnenie [13.5K]

The radius of can is 2.524 inches

<em><u>Solution:</u></em>

Given that large can of tuna fish that has a volume of 66 cubic  inches and a height of 3.3 inches

To find: Radius

Given a large can of tuna fish, we know that can is generally of cylinder shape, we can use the volume of cylinder formula,

<em><u>The volume of cylinder is given as:</u></em>

\text{ volume of cylinder}= \pi r^{2} h$

Where,

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\pi is a constant equal to 3.14

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Thus the radius of can is 2.524 inches

4 0
3 years ago
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