# math

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Solve the following matrices (I don't know how to do brackets so I will just use commas to separate the numbers and put them in different lines)
A= 0, -2, 3, 1
-3, 1, 0, 4
0, 5, -2, -1
B= 1, -4
-2, 1
3, 0
C= -1, 0, 2
0, 3, 4
0, 8, -1
E= 1
2
3
4
F= -2, 5
3, 7
0, 9
FIND:
) AE =
b) B+F =
c) BC + F =
d) CB =
e) CC =

• math -

AE =
top row 0*1 -2*2+3*3+1*4 = 9
row two -3*1+1*2+0*3+4*4 = 15
row three 0*1+5*2-2*3-1*4 = 0

B+F = S
S11 = 1-2 = -1
S12 = -5+5 = 1
S21 = -2+3 = 1
S22 = 1+7 = 8
S31 = 3+0 = 3
S32 = 0+9 = 9
so Sum is
-1 , 1
1 , 8
3 , 9

First do BC, then add F
B has two columns, C has three rows
so you may not multiply B times C
(C times B would be ok)

ok, now CB = P
P11 = -1*1+0*-2+2*3 = 5
P12 = -1*-4+0*1+2*0 = 4
P21 = 0*1+3*-2+4*3 = 6
P22 = 0*-4+3*1+4*0 = 3
P31 = 0*1+8*-2-1*3 = -19
P33 = 0*-4 +8*1-1*0 = 8
so CB=
5 , 4
6 , 3
-19 , 8

CC
1 , 16 , -4
0 , 41 , 8
0 , 16 , 33

• mhkic bpco -

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