Answer: 
Step-by-step explanation:

Let's consider an arbitrary 2x2 matrix as an example,

The columns of

are linearly independent if and only if the column vectors

are linearly independent.
This is the case if the only way we can make a linear combination of

reduce to the zero vector is to multiply the vectors by 0; that is,

only by letting

.
A more concrete example: suppose

Here,

and

. Notice that we can get the zero vector by taking

and

:

so the columns of

are not linearly independent, or linearly dependent.
Answer:
the answer is -6,5
Step-by-step explanation:
just look at the left side ( the x axis )first then right(the y axis)
Answer:
Option C 
Step-by-step explanation:
we have

The compound inequality can be divided into two inequality
-----> inequality A
----> inequality B
Solve inequality A


Divide by -3 both sides
when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

Rewrite

The solution of the inequality A is the interval (-∞,-3]
Solve the inequality B


Divide by -3 both sides
when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

The solution of the inequality B is the interval [-6,∞)
The solution of the compound inequality is
[-6,∞) ∩ (-∞,-3]=(-6,-3]

Answer:
1) C. reject the null hypothesis; there is sufficient evidence to support the claim that “A” the students are NOT evenly distributed throughout the classroom
4) A. 7.815
7) D. fail to reject the null hypothesis; there is not sufficient evidence
i’m sorry my test doesn’t have questions 8 and 10 so i don’t know the answer
Step-by-step explanation:
i just took the test