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In Matematika / Sekolah Menengah Atas | 2025-08-07

KAK TOLONGIN PLEASE MATERI MATRIKSSSSSZ DLL, JWB YG SERIUS DAN BENAR PLS

Asked by lanaskyluana

Answer (1)

Jawaban:@Ara1412 1. Jika A = [[5, 3], [6, 2], [1, 1]], B = [[2, 3], [1, 4], [0, 2]], C = [[5, 0], [3, 2], [0, 1]], maka hasil dari (A + B) - (A - C) + (C - B) sama dengan... - Sederhanakan dulu: (A + B) - (A - C) + (C - B) = A + B - A + C + C - B = 2C- 2C = 2 * [[5, 0], [3, 2], [0, 1]] = [[10, 0], [6, 4], [0, 2]] 2. Diketahui P = [[1, 2], [3, -1]] dan Q = [[3, -4], [0, 5]], maka matriks hasil dari 2P + 5Q = ... - 2P = 2 * [[1, 2], [3, -1]] = [[2, 4], [6, -2]]- 5Q = 5 * [[3, -4], [0, 5]] = [[15, -20], [0, 25]]- 2P + 5Q = [[2, 4], [6, -2]] + [[15, -20], [0, 25]] = [[17, -16], [6, 23]] 3. Jika matriks A = [[1, -4], [2, 3]], B = [[3, 2], [-1, 1]], dan C = [[0, 2], [0, -3]], ... Soal tidak lengkap, tidak ada pertanyaan yang jelas. 4. Diketahui matriks A = [[1, -3/4], [3/4, -4/2]], maka matriks A - 7 = ... - Asumsi: A - 7 adalah A - 7I, di mana I adalah matriks identitas.- I = [[1, 0], [0, 1]]- 7I = [[7, 0], [0, 7]]- A - 7I = [[1, -3/4], [3/4, -2]] - [[7, 0], [0, 7]] = [[-6, -3/4], [3/4, -9]] 5. Jika A = [[-1, 2, 1], [3, 1, 3], [3, -4, 5]], maka det(2Aᵀ) = ... - Aᵀ (transpose A) = [[-1, 3, 3], [2, 1, -4], [1, 3, 5]]- 2Aᵀ = [[-2, 6, 6], [4, 2, -8], [2, 6, 10]]- det(2Aᵀ) = -2(210 - (-8)6) - 6(410 - (-8)2) + 6(46 - 22)- = -2(20 + 48) - 6(40 + 16) + 6(24 - 4)- = -2(68) - 6(56) + 6(20)- = -136 - 336 + 120 = -352@Ara1412

Answered by ara1412 | 2025-08-09