All categories

3 years ago

What does it mean for rows to be linearly independent?

Mathematics

1 answer:

garri49 [273]3 years ago

4 0

It means no rows in the set can be written or defined as a linear combination of the others.

You might be interested in

Write the sentence as an equation. 184 is equal to 262 reduced by b

Bumek [7]

262-b=184 this will be your answer to the problem

6 0

4 years ago

A line passes through (-5, -3) and is parallel to -3x - 7y = 10. The equation of the line in slope-intercept form is _____

Dmitry [639]

Answer:

-3x - 7y = 36

Step-by-step explanation:

The given line -3x - 7y = 10 has an infinite number of parallel lines, all of the form -3x - 7y = C.

If we want the equation of a line parallel to -3x - 7y = 10 that passes through (-5, -3), we substitute -5 for x in -3x - 7y = 10 and substitute -3 for y in -3x - 7y = 10:

-3(-5) - 7(-3) = C, or

15 + 21 = C, or C = 36

Then the desired equation is -3x - 7y = 36.

4 0

3 years ago

Evaluate 8a - 1 + 0.5b when a= 1/4 and b=10.

nikitadnepr [17]

Answer:

Step-by-step explanation:

Substitute 1/4 with 8a. 8/4=2

Next, Substitute 10 for 0.5. 10/2=5

Finally, find the sum

(2-1)+5

6 0

3 years ago

Identify the rational numbers as positive or negative.

N76 [4]

Answer:

Step-by-step explanation:

We have to follow these rules:

+/+ = +

-/- = +

+/- = -

-/+ = -

positive numbers:

+2/+3 ; -2/-3 ; -1/-3 ; +1/+3

negative numbers:

+2/-3 ; -2/+3 ; -1/+3 ; +1/-3

4 0

3 years ago

Determine if line KM and line ST are ॥, ⊥, or neither: K(-5,1) , M(-2,-8), and S(12,14), T(20,-10) Parallel Perpendicular or nei

Black_prince [1.1K]

Answer:

The lines are parallel i.e. KM || ST

Step-by-step explanation:

Given

K(-5,1) , M(-2,-8), and S(12,14), T(20,-10)

In order to find if the lines are parallel, perpendicular or neither slope will be used.

The slope of any line which passes from two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula

$m = \frac{y_2-y_1}{x_2-x_1}$

If two lines are parallel their slope is equal. If two lines are perpendicular the product of their slope is equal to -1

So, first slopes of both lines will be calculated.

Let m1 be the slope of KM

and

m2 be the slope of ST

In case of KM:

$(x_1,y_1) = (-5,1)\\(x_2,y_2) = (-2,-8)$

Putting the values in the formula for slope

$m_1 = \frac{-8-1}{-2-(-5)}\\m_1 = \frac{-9}{-2+5}\\= \frac{-9}{3}\\= -3$

In case of ST:

$(x_1,y_1) = (12,14)\\(x_2,y_2) = (20,-10)$

Putting the values in the formula for slope

$m_2 = \frac{-10-14}{20-12}\\= \frac{-24}{8}\\= -3$

As we can see that slope of both lines KM and ST are equal

i.e. m1 = m2 = -3

Hence,

The lines are parallel i.e. KM || ST

6 0

3 years ago