Question

0, 12. The vectors [3, 1,-4] and [2, 2, - 3] are : (a) Linearly dependent (hl Linearly indong​

Answer 1

Answer:

the first question you can see that the two vectors are linearly dependent if : ⎡⎣⎢123⎤⎦⎥[123] = α⎡⎣⎢321⎤⎦⎥α[321] So α=13α=13 from the first line and α=1≠13α=1≠13 so ⎡⎣⎢123⎤⎦⎥[123] & ⎡⎣⎢321⎤⎦⎥[321] are linearly independent.

2) If ⎡⎣⎢−520⎤⎦⎥∈L[−520]∈L so it exist a,b∈Ra,b∈R

Answer 2

Step-by-step explanation:

one of the two times in the year (around 20 March and 22 September) when the sun is above the imagined line round the centre of the earth (equator) and day and night are of equal length