Page 120 - DMTH201_Basic Mathematics-1

Unit 4: Determinants

Notes
0.5 0.2 0.3
R = 0 0 1 0.7 0.1 0.2 0.4 0.5 0.1
1
0.4 0.5 0.1

0.5 0.2 0.3
and R = 0.4 0.5 0.1 0.7 0.1 0.2 0.59 0.18 0.23
2
0.4 0.5 0.1
Thus, the chances that the price will increase, decrease or remain unchanged, day-after-tomorrow,
are 59%, 18% and 23% respectively.

Example: Two businessmen are trading in shares have three banking company shares as
shown in the following table
Merchant Vijaya Bank Canara Bank Corporation Bank
Mr. Jain 200 100 300
Mr. Gupta 250 150 100

The approximate prices of (in ) three banking company shares in three stock exchange market
are given below.
Vijaya Bank Canara Bank Corporation Bank

Bangalore 39 40 38
Bombay 40 50 35
New Delhi 35 45 42

In which market each of the above businessmen has to sell their shares to get maximum receipt.
Solve by matrix multiplication method.
Solution:

VB CB Cor.B
Let A 200 100 300 Jain
250 150 100 Gupta
2 3

Bang. Bomb N.Delhi
39 40 35 VB
B
40 50 45 CB
38 35 42 Cor .B
3 3

39 40 35
200 100 300
AB 40 50 45
250 150 100
38 35 42

200 39 100 40 300 38 200 40 100 50 300 35 200 35 100 45 300 42
250 39 150 40 100 38 250 40 150 50 100 35 250 35 150 45 100 42

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