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1. Diketahui matriks A = *
+;B=*
a. A x B Penyelesaian :
b. B x A
a. A x B = *
+* (
=[
=*
+ )
(
)( ) ] ( )
+
b. B x A = *
+*
+ (
=[
(
=*
)
(
) )
(
)
]
+
2. Diketahui matriks-matriks A = * a. Tentukanlah: A . B b. Tentukanlah: Bt . Ct Penyelesaiaan : A.B=*
; ;
+*
=[
(
=*
+
B.C=*
+ , tentukan matriks:
+*
(
=*
+
B.C At . Bt
; C.A ; (A.C)t
+
)
=[
+;B=*
(
( ) ] )( )
+
)
(
)
]
+ ; dan C = *
+
C.A=*
+*
+ ( (
=[
=* Bt = *
+ At = *
+
Bt . Ct = *
+*
=[
=*
At . Bt = *
=[
=*
(
+
]
(
)
(
( ) ] )( )
+
+*
(
+
)
+
+)t
+*
(
) +)t
= (*
=*
Ct = *
+
)
(A.C)t = (*
= ([
) ] )
+
(
)
] )t
+
3. Jika *
+
*
+
*
+*
+ . tentukanlah nilai x.
Penyelesaian: *
+
*
+
*
+
*
+
*
+
*
*
+
[
( ) ( )
*
+
*
+
*
+
*
Diperoleh
* *
+*
+
+*
+
*
+
+*
+
*
+
]
+
*
+
