Freday

Let u,v,wu,v,w be three linearly independent vectors in R7R7. Determine a value of kk, k=k= , so that the set S={u−3v,v−2w,w−ku}

11Alexandr11 [23.1K]

Answer:

1/6

Step-by-step explanation:

For a set of vectors a, b and c to be linearly dependent, the linear combination of the set of vectors must be zero.

C1a + C2b + C3c = 0

From the question, we are given the set S={u−3v,v−2w,w−ku}, the corresponding vectors are a(0, -3, 1), b(-2,1,0) and c(1,0,-k)

The values in parenthesis are the ccoefficients of w, v and u respectively.

On writing this vector as a linear combination, we will have;

C1(0, -3, 1) + C2(-2,1,0) + C3(1,0,-k) = (0,0,0)

0-2C2+C3 = 0........ 1

-3C1+C2 = 0 ........... 2

C1-kC3 = 0 ….......... 3

From equation 2, 3C1 = C2

Substituting into 1, -2(3C1)+C3 = 0

-6C1+C3 = 0

-6C1 = -C3

6C1 = C3.…..4

Substitute 4 into 3 to have

C1-k(6C1) = 0

C1 = k6C1

6k = 1

k = 1/6

Hence the value of k for the set of vectors to be linearly dependent is 1/6

6 0

2 years ago

6/2=4/p= Can u help me with this math problem

vodomira [7]

I hope this helps you

6/2=4/p

3=4/p

p=4/3

p=1,333...

5 0

3 years ago

Consider the following graph.

OLga [1]

The statement best describes Cheryl's computer is option C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.

<h3>How to find the function which was used to make graph?</h3>

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses the x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

Let's assume the graph of Cheryl's commute was like the one below.

We can see that she started at 0 mph.

One minute later, she was up to 65 mph, so she had accelerated (increased her speed).

At 6.5 min (5.5 min later) her speed was still 65 mph therefore, she was driving at a constant speed.

Over the next 2.5 min, her speed dropped to 45 mph, therefore she was decelerating.

Learn more about finding the graphed function here:

brainly.com/question/27330212

#SPJ1

3 0

1 year ago

??????????????????????????

Umnica [9.8K]

Solution:

<em>Simple Interest = Principal Amount × Rate of Interest/100 × Time</em>

Here, Principal Amount = $6000

Rate of Interest = 6%

Time = 4 years

Simple Interest = 6000 × 6/100 × 4 = <em>$1440</em>

3 0

2 years ago

I don't really understand the question so can someone help me answer the question please?

Ksivusya [100]

Answer:

1/ 3

Step-by-step explanation:

If each of the cards is turned over, the probability of picking up a card of one type P(E) becomes equal to:

=> P(E) = number of cards of the required type/ total number of cards

● Total number of spades( ♤ ) = 3

{the queen, one ace and the nine are all spades}

● Total number of cards = 6

Probability of drawing a spade= 3/ 6

= 1/ 2

● Total number of "7" = 1

● Total number of cards = 6

Probability of drawing a 7

= 1/ 6

Now, what's asked is the difference in the probabilities of drawing a spade and a seven.

= 1/ 2 - 1/ 6

= 3/ 6 - 1/ 6

= 2/ 6

= 1/ 3

Hence, 1/ 3 of a greater chance of drawing a spade over a 7.

5 0

2 years ago