Two schools decided to award prizes to their teachers for two qualities knowledge and guidance School A decided to - Maths - Matrices

Question

Two schools decided to award prizes to their teachers for two
qualities knowledge and guidance School A decided to award a total
of Rs 3200 for the values to 4 and 3 teachers respectively while
school B decided to award a total of Rs 1600 for the values to 1
and 2 teachers respectively Represent the above situation by a
system of linear equations and solve using matrices Which quality
you prefer to be rewarded most and why?

Vipin Verma · Accepted Answer

Let x be knowledge and y be guidance then the equation formed
are
For School A
4x+3y=3200 (1)
For School B
x+2y=1600 (2)
Using matrices

4312xy=32001600So, xy=4312-132001600Now,to calculate4312-1First we
calculate D=4312=4×2-1×3=8-3=5So, inverse 4312-1
=152-3-14now,xy=152-3-1432001600xy=156400-4800-3200+6400=1516003200=320640x=320,
y=640
Since y>x
Hence Guidance is more preferrred than knowledge