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:
Vertical opposite angles are the same so the answer is D.
Answer:(X^2-11)(2X-5)
Step-by-step explanation:
2x^3-5x^2-22x+55
x^2(2x-5)-11(2x-5)
(X^2-11)(2X-5)
Answer:
x>1 and y>1
Step-by-step explanation:
x+y>2....... (i)
2x-y>1...... (ii)
Adding equations (i) and (ii),
x+y+2x-y>2+1
3x>3
x>3/3
x>1.
Putting the value of x in equation (i),
1+y>2
y>2-1
y>1.
Lne equals 1 because they cancel each other out. e is the base of ln.
For example: log has a base of 10, log10 = 1