Two n × n invertible real matrices A and B satisfy the relation
(AB)T = -(A-1B)-1
If B is orthogonal then A must be
Concept:
Solution:
It is given that B is an orthogonal matrix.
B-1 = BT
Now,
Applying the orthogonality for matrix B.
AT = −A
The A matrix is anti-symmetric matrix.
The following ternary figure shows the marks obtained by students A, B and C in an exam of 100 marks. Here, C received 10 marks in Physics, 50 marks in Chemistry and 40 marks in Mathematics.
Which one of the following is CORRECT?
Restaurants A, B, C, and D give the following offers:
A: one mocktail free for every two purchased
B: one mocktail free for every three purchased
C: two mocktails free for every six purchased
D: 30% discount on each mocktail
If all restaurants have the same marked price for each mocktail, in which restaurant would you pay the least if you drank eight mocktails?
The following bus schedule is seen at a bus stop located somewhere between town A and town B.
Town A: 00:10, then every 20 minutes
Town B: 00:15, then every 20 minutes
If a person arrives at this bus stop at a random time, the probability that the next bus is for town B is:
Consider the following information regarding a 3-digit PIN.
The correct PIN is
With a certain set of diameters, a tractor’s front wheels make 2 revolutions for every 1 revolution of the rear wheels. The effect of changing wheel diameter(s) is shown in the given plot.
In this context, which of the following statements is CORRECT?
