anonymous
  • anonymous
a) Find the product of the 2 matrices below showing all your working. [2 7] [3 8] [-1 4] [5 0] b) Find the product of the 2 matrices below showing all your working and explain the significance of this result. [3 8] [2 7] [5 0] [-1 4] If A= [7 8] [5 2] Find A^-1
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
hm.. how to do this one..?
amistre64
  • amistre64
i believe its... 2.3+7.5 2.8+7.0 -1.3+4.5 -1.8+4.0
anonymous
  • anonymous
hm.. I don't know whether it's right or wrong..

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amistre64
  • amistre64
its right for a
amistre64
  • amistre64
2.3 means 2(3)... just in a lazy format
anonymous
  • anonymous
its like this: (2x3)+(7x5) (8x2)+(7x0) (-1x3)+(4x5) (-1x8)+(4x0)
amistre64
  • amistre64
6+35 = 41 16+0 = 16 -3+20=17 -8+0=-8
anonymous
  • anonymous
Yup, I got the answer for a.. but, I'm stuck in b and c...
anonymous
  • anonymous
do the same process in b
anonymous
  • anonymous
yep
anonymous
  • anonymous
how to explain the significance of this result??
amistre64
  • amistre64
b is the same process: [3 8] [2 7] [5 0] [-1 4] 3.2+8.-1 = -2 3.7+8.4= 53 5.2+0.-1= 10 5.7+0.4=35
amistre64
  • amistre64
c; find the inverse... [7 8] 7.a+8.c=1 7.b+8.d=0 [5 2] 5.a+2.c=0 5.b+2.d=1
anonymous
  • anonymous
in part c its doing the nverse, do you know the proces of doing it?
amistre64
  • amistre64
[a b] [c d] will be the inverse
amistre64
  • amistre64
the short cut is to flip and negate the 7 and 2 :)
amistre64
  • amistre64
it is the 7 and 2 right?
amistre64
  • amistre64
flip a d and negate b c
amistre64
  • amistre64
[2 -8] [-5 7]
anonymous
  • anonymous
ok I've flipped a d and negate b c..
amistre64
  • amistre64
that is the inverse of A :)
anonymous
  • anonymous
ok thank you..! So after inverse, there's nothing else right?
anonymous
  • anonymous
yup amistre got it,, theres nothing else
anonymous
  • anonymous
Thanks so much guys!
anonymous
  • anonymous
wc

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