SHARING.... -experiences of teaching maths as a hobby for over 50 years to school and college students. -challenges in project management and the common sense approach to it from old classics.

Friday, February 27, 2015

MATRICES
-----------
WANT FREE COACHING IN MATHS IN BANGALORE ?
CALL 9480193388 OR EMAIL
freemaths10212@gmail.com

For details see post on 26-Feb-2015 at 6:00 am.
-------------
Image for 1. Suppose A = [a1 a2 a3] is a 4x3 matrix, b is a vector in R^4, and x =[] is a solution of Ax = b. For ea
-----------------

A=[A1,A2,A3]
A1=A2=A3=X=B=
CGL2B1
DHM     *1    =B2
EJN6B3
FKPB4
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