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GenaCL600 [577]
4 years ago
10

Determine whether each set equipped with the given operations is avector space. For those that are not vector spaces identify th

e vector space axioms that fail.a). The set of all pairs of real numbers of the form (x,y), where x ≥ 0, with the standard operations on R^2.b). The set of all triples of real numbers with the standard vectoraddition but with scalar multiplication defined by k(x,y,z) = (k^2x,k^2y,k^2z)c). The set of all 2 x 2 invertible matrices with the standard matrix addition and scalar multiplication
Mathematics
1 answer:
castortr0y [4]4 years ago
6 0

Answer: Determine whether each set equipped with the given operations is avector space. For those that are not vector spaces identify the vector space axioms that fail.a). The set of all pairs of real numbers of the form (x,y), where x ≥ 0, with the standard operations on R^2.b). The set of all triples of real numbers with the standard vectoraddition but with scalar multiplication defined by k(x,y,z) = (k^2x,k^2y,k^2z)c). The set of all 2 x 2 invertible matrices with the standard matrix addition and scalar multiplication

Step-by-step explanation:

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Evaluate 11.3s + 10.5t when s equals 7 and t equals 8.
navik [9.2K]

Answer:

About 163 (Exact Answer: 163.1)

<h2>Step-by-step explanation:</h2>

11.3s + 10.5t

Replace s with 7 and t with 8.

11.3(7) + 10.5(8)

Multiply.

11.3(7) + 10.5(8) =

79.1 + 84

Add.

79.1 + 84=

163.1 ≈ 163

4 0
3 years ago
1200/180 = <br><br><br><br><br> (can someone please help me I'm desperate)
ASHA 777 [7]

Using a calculator, 1200/180 = 6.67 approximately

If you use long division, then you'll get what you see in the diagram below

The 6's go on forever after the decimal point, but if you round to two decimal places, then you'll get that approximate value of 6.67

---------------

If you want a remainder, then 1200/180 = 6 remainder 120

You can think of it like you having 1200 cookies and 180 friends. Each friend will get 6 whole cookies and there will be 120 left over as the remainder.

8 0
4 years ago
A new car is purchased for 15500 dollars. The value of the car depreciates at 6.5% per year. What will the value of the car be,
Aleksandr [31]

Answer:

$10356,22

Step-by-step explanation:

15500*(1-(6,5/100))^6=10356,22

3 0
3 years ago
Name the types of angles shown.
OlgaM077 [116]

Answer:

C) supplementary angles

D) straight angle

Step-by-step explanation:

There is a straight line, and when an angle is a straight it means its 180 degrees which makes it a supplementary angle and a straight angle.

There are no angles that are 90 degrees so its not complementary or a right angle.

7 0
3 years ago
Read 2 more answers
Find the coordinates of P that partitions segment AB , where A (2,3) and B (14,9), so that AP:PB is a 1:2 ratio. Also, find the
Paladinen [302]

For Point P, you need to recognize that a 1:2 ratio means that AP will be 1/3 of AB and PB will be 2/3 of AB.

So you need to find the change in the x-values, 14-2 = 12, and then add 1/3 of that change to the x-value of A.

Then you need to find the change in the y-values, 9-3 = 6, and then add 1/3 of that change to the y-value of A.

For the bisector, that's another way to say you'll split AB into two even pieces.  For this, it's the same as what we just did, but you need to find 1/2 of the two respective changes (1/2 of the x-change and 1/2 the y-change).

7 0
3 years ago
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