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:
60.72
Step-by-step explanation:
Simply if you can, use a calculator and do one of two things. First off, the easier way, you can do 92% of 66, which is 60.72, the more difficult way is to find 8% of 66 which is 5.28, and then subtract 66 by 5.28 which is 60.72. Hope this helps
!
Answer:
11.2
Step-by-step explanation:
First draw an imaginary straight line to separate the two shapes.
You will have a side of 10 in the traingle
And a side of 13 - 8 =5
Then
Using pythagoras theorem
Sqrt(10^2+5^2)=11.180
Answer:
77
Step-by-step explanation:
Add the numbers together, then divide them to how much numbers are there.
74 + 75 + 80 + 76 + 75 + 81 + 78 = 539
Since there are 7 numbers, you divide 539 by 7.
539/7 = 77