MATRICES
-----------
-----------------
-----------
For details see post on
26-Feb-2015 at 6:00 am.
------------------------------
A= | [A1,A2,A3] | ||||||
A1= | A2= | A3= | X= | B= | |||
C | G | L | 2 | B1 | |||
D | H | M | * | 1 | = | B2 | |
E | J | N | 6 | B3 | |||
F | K | P | B4 | ||||
a)…TO CHECK VECTOR B IS IN SPAN OF A[A1,A2,A3] | |||||||
A*X = B | |||||||
THAT IS … | |||||||
2A1+A2+6A3=B | |||||||
THIS CLEARLY IMPLIES THAT VECTOR B CAN BE WRITTEN | |||||||
AS A LINEAR COMBINATION OF A1,A2,A3 | |||||||
HENCE B IS IN THE SPAN OF A[A1,A2,A3] | |||||||
PROVED |
0 Comments:
Post a Comment
<< Home