Let a1equals[Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 2 3rd Row 1st Column negative 1 EndMatrix ], a2equals[Start 3 By 1 Matrix 1st Row 1st Column negative 7 2nd Row 1st Column negative 7 3rd Row 1st Column 2 EndMatrix ], and bequals[Start 3 By 1 Matrix 1st Row 1st Column 3 2nd Row 1st Column negative 22 3rd Row 1st Column h EndMatrix ]. For what value(s) of h is b in the plane spanned by a1 and a2?

Answers

Answer 1

Answer:

Answer:

For h= 25, b in the plane spanned by a1 and a2

Step-by-step explanation:

$a1= \left[\begin{array}{c}1\n2\n-1\end{array}\right] \na2 = \left[\begin{array}{c}-7\n-7\n2\end{array}\right] \n\nb = \left[\begin{array}{c}3\n-22\nh\end{array}\right]$

we have to find value of h for which b in the plane spanned by a1 and a2.

For this the linear systems given by the following augmented matrix must be consistent.

$\left[\begin{array}{cc|c}1&-7&3\n2&-7&-22\n-1&2&h\end{array}\right]$

Reduce the augmented matrix into row echelon form:

$R_(2) - 2R_(1) , R_(3) + R_(1)\n\n\left[\begin{array}{cc|c}1&-7&3\n0&7&-28\n-0&-5&h+3\end{array}\right]\n\n7R_(3)+5R_(2)\n\n\left[\begin{array}{cc|c}1&-7&3\n0&7&-28\n-0&0&7h-175\end{array}\right]$

For system to be consistent:

$7h-175 =0\n7h=175\nh=25$

Related Questions

Subtract 5 5⁄21 from 131⁄7 (reducing to lowest terms if necessary). A. 1019⁄7 B. 719⁄7 C. 1019⁄21 D. 719⁄21
You mix the letters S, E, M, I, T, R, O, P, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probability that you select a vowel. Write your answer as a fraction in simplest form.
Can someone pls help with this question :)
=Initial Knowledge CheckSolve for x.- 10= -6+ 2xSimplify your answer as much as possible.x=
Write an equation of the line perpendicular to the given line that contains P.P(4, - 7); y = 1/5x+2Write an equation for the line in point-slope form.(Simplify your answer. Use integers or fractions for any numbers in the equation.)I WILL GIVE BRAINLIEST!!

If log(x+3)-log(x-5)=log2What is the value of x?

Please answer with explanation and process

Answers

We use log(x) - log(y) = log(x/y) and log(x) = log(y) ⇔ x = y

$\displaystyle\log(x+3) - \log(x-5) = \log 2 \implies \log\left( (x+3)/(x-5) \right) = \log 2 \implies \n \n (x+3)/(x-5) = 2 \impliesx+3 = 2(x-5) \n \nx = 13$

What postulate would you use to prove PQR TSR?

Answers

Answer:

SAS

Step-by-step explanation:

You have two pairs of congruent sides that are congruent.

The included angles are vertical angles, so they are congruent.

That means you have two sides and the included angle in each triangle.

Answer: SAS

Suppose a stock is selling on a stock exchange for 6 3/4 dollars per share. If the price increases 3/4 per share, what is the new price of the stock? Leave your answer as a proper fraction or mixed number.

Answers

The new price of the stock which increases 3/4 per share is $ 7 1/2.

Given data:

A stock is selling on a stock exchange for 6 3/4 dollars per share.

If the price of the stock increases by 3/4 dollars per share, you can add 3/4 to the current price of 6 3/4 dollars per share:

6 3/4 + 3/4

To add the whole numbers and fractions separately:

6 + 0 + 3/4 + 3/4

Adding the whole numbers and fractions:

6 + 1 1/2

A = 7 1/2

Hence, the price of the new stock is $ 7 1/2

To learn more about fractions, refer:

brainly.com/question/29766013

#SPJ3

Step-by-step explanation:

If the price increases 3/4 per share, the new price of the stock =

6¾ + ¾ =

27 /4 + ¾ =

30 /4 =

15/2or7½

What is the measure of each angle of a regular 24-gon? If necessary, round to thenearest tenth.

Answers

Answer:

165°

Step-by-step explanation:

Find the interior angle measure by using the formula, ((n - 2) x 180°) / n

Plug in 24 as n:

((n - 2) x 180°) / n

((24 - 2) x 180°) / 24

(22 x 180°) / 24

3960 / 24

= 165

So, the measure of each angle is 165°

Answer:

163.6

Step-by-step explanation:

180•(22-2)=180•20 =3600

3600/22= 163.636363…

PLS HELPPP ITS NOT THAT HARD

Answers

Answer:

Step-by-step explanation:

1. System A is consistent and independent and unique solution

2. System B: inconsistent and no solutions

3. System C: consistent and dependent and infinite many solutions

What is the measure of

Answers

Answer:

B. 108

Step-by-step explanation:

Other Questions

22 - x/2 =14 ........

A rectangular swimming pool is 15 meters long, 10 % meters wide,and 2 % meters deep. What is its volume?

discrete random variable X has the following probability distribution: x 13 18 20 24 27 P ( x ) 0.22 0.25 0.20 0.17 0.16 Compute each of the following quantities. P ( 18 ) . P(X > 18). P(X ≤ 18). The mean μ of X. The variance σ 2 of X. The standard deviation σ of X.

The music you hear when listening to a magnetic cassette tape is the result of the magnetic tape passing over magnetic heads, which read the magnetic information on the tape. The length of time a tape will play depends on the length of the tape and the operating speed of the tape player. The formula is T = L S , where T is the time in seconds, L is the length of the tape in inches, and S is the operating speed in inches per second. How long a tape does a police officer need to record a 3-minute confession at an operating speed of 4 1 2 inches per second?