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17 Feb 2008 | 1 min. (118 words)

  study material-mathematics-algebra-matrices    

Matrices & Determinants - 4

DUMB QUESTION

Q1. If co-ordinates (x, y)one rotated by are augleabout the arigin the new coordinetes are represnted by matrix . How ?
Soln :-


Illustration :-
Q1. A = and B 2 show that A B B A .

Soln :- A . B = =

B . A = =

Q 2. Show taht A = is ...of index 3.

Solution :- A2 =

A3 = A2 - A =

                   =

A3 = 0 i.e. Ak = 0


DETERMINAATS :-

The experssion is colled a determinant.

Calculation of determinants

= a1 b2 - a2 b1



= a1 (b2 c3 - b2 b3) - b1 (a2 c3 - c2 a3) + c1 (a2 b3 - b2 c3)







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