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LATIHAN 2
1.
09.26
modul materi matriks.doc
Selesaikan operasi matriks berikut :
a.
b.
7a
[29] + [27390]
2m
-
3b
3-4
3n
[2a
b
a
2b
+
За -b
4a
b
C.
2x 3y]
X
- y]
d.
- x 2y
- X
2y
5
2.
Diketahui P =
Tentukan :
=
40-dan R
dan R =
a. P+Q
b. Q-R
3.
c. (P+Q) - R
d. P+ (Q-R)
a.
Tentukan matriks X nya, jika X berordo 2x2
x + [160° 1 ] - 1 2 3]
b.
X
-
[4
=
-
5 3
4.
C.
Tentukan x, y, w, dan z jika diketahui :
+
3x3x-624-z4w**"]
65%

Jawaban:a.[2926]+[2739][ 22 96 ]+[ 23 79 ]Penjumlahan matriks dilakukan dengan menjumlahkan elemen yang bersesuaian:=[2+29+72+36+9]=[416515]=[ 2+22+3 9+76+9 ]=[ 45 1615 ]ini yh kak jwbn nya smoga membantu

Answered by Jehanmaryana | 2025-08-11

Jawaban:1. a.[2 9] + [2 7] = [2+2 9+7] = [4 16] b.7[a] = [7a] 2[m] - 3[b] = [2m - 3b] 3[n] = [3n] c.[2a b] + [3a -b] = [2a+3a b+(-b)] = [5a 0][a 2b] [4a b] [a+4a 2b+b] [5a 3b] d.[2x 3y] - [x -y] = [2x-x 3y-(-y)] = [x 4y][-x 2y] [-x 2y] [-x-(-x) 2y-2y] [0 0] 2. Diketahui P = [5 2], Q = [4 0], dan R = [-1 2][1 3] [0 -5] [3 4] a. P + Q = [5+4 2+0] = [9 2][1+0 3+(-5)] [1 -2] b. Q - R = [4-(-1) 0-2] = [5 -2][0-3 -5-4] [-3 -9] c. (P+Q) - R = [9-(-1) 2-2] = [10 0][1-3 -2-4] [-2 -6] d. P + (Q-R) = [5+5 2+(-2)] = [10 0][1+(-3) 3+(-9)] [-2 -6] 3. @Ara1412a. Tentukan matriks X nya, jika X berordo 2x2X + [1 0] = [1 2][6 1] [3 4] X = [1 2] - [1 0] = [1-1 2-0] = [0 2][3 4] [6 1] [3-6 4-1] [-3 3] b.X - [4 5] = [-1 2][3 4] [3 -4] X = [-1 2] + [4 5] = [-1+4 2+5] = [3 7][3 -4] [3 4] [3+3 -4+4] [6 0] 4. c. Tentukan x, y, w, dan z jika diketahui :[x - 6 24] = [3x 3y][z 4 - z 4w] [6 5] - x - 6 = 3x-6 = 3x - x-6 = 2xx = -3- 24 = 3yy = 24/3y = 8- z = 6- 4 - z = 54 - 6 = 5 (Tidak mungkin, soal salah)Jika soalnya 4w = 5, maka:4w = 5w = 5/4 Jadi, x = -3, y = 8, z = 6, dan w = 5/4 (dengan asumsi ada kesalahan pada soal).

Answered by ara1412 | 2025-08-11