Let v1 = 2
4
12
26
2
3
5,v2 =
2
4
0
5
1
3
5 and v3 =
2
4
3
4
0
3
5,
i ) Is the set fv2; v3g linearly independent or not? Give reason.
ii ) Does v1 lie in Spanfv2; v3g? Prove.
iii ) The set fv1; v2; v3g is linearly dependent. Explain why.
iv ) Are the sets fv1; v2g and fv1; v3g also linearly dependent?

The number if marbles of different colors stored in a hat is listed below: 4 red marbles 10 green marbles 7 blue marbles. without looking in the hat, dan takes out a marble at random. he replaces the marble and then takes out another marble from the hat. what is the probability that dan takes out a blue marble in both draws?

You love to play soccer! you make a shot at the net 8 times during a game! of those 8 attempts, you score twice. what percent of the time did you score?

If the value of cos330°is√3/2 then find cos 165°.