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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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