Matice - násobenie, sčítanie, odčítanie a inverzná matica
[{"question":"Ak vyn\u00e1sob\u00edme maticu A[1,3]<\/SUB> maticou B[3,1]<\/SUB> dostaneme maticu C[m,n]<\/SUB>. Ak\u00e9 hodnoty madob\u00fadaj\u00fa \"m\" a \"n\"?","answers":["m = 1, n = 3","m = 3, n =3","m = 1, n = 1","m = 3, n = 1"],"correct":"m = 1, n = 1","order":"1"},{"question":"Ak s\u010d\u00edtame maticu A[3,3]<\/SUB> s maticou B[3,3]<\/SUB> dostaneme maticu C[m,n]<\/SUB>. Ak\u00e9 hodnoty madob\u00fadaj\u00fa \"m\" a \"n\"?","answers":["m = 1, n = 3","m = 3, n =3","m = 1, n = 1","m = 3, n = 1"],"correct":"m = 3, n =3","order":"2"},{"question":"Vyn\u00e1sobte maticu A = [3 1, 1 2, 2 1, 0 2] \u010d\u00edslom 2","answers":["V = [6 2, 2 4, 4 2, 0 4]","V = [6 2, 2 4, 4 2]","V = [2 4, 4 2, 0 4]","V = [16 2, 21 4, 48 2, 0 4]"],"correct":"V = [6 2, 2 4, 4 2, 0 4]","order":"3"},{"question":"Vyn\u00e1sobte maticu A = [2 3 1] maticou B = [3, 3.2, 10]\u2026. A*B","answers":["ned\u00e1 sa ich vyn\u00e1sobi\u0165 v takomto porad\u00ed","25,6","30","40"],"correct":"25,6","order":"4"},{"question":"Z predch\u00e1dzaj\u00faceho pr\u00edkladu vyn\u00e1sobte maticu B maticou A\u2026. B*A","answers":["ned\u00e1 sa ich vyn\u00e1sobi\u0165 v takomto porad\u00ed","25.6","30","40"],"correct":"ned\u00e1 sa ich vyn\u00e1sobi\u0165 v takomto porad\u00ed","order":"5"},{"question":"Vyn\u00e1sobte maticu A = [3 2 4, 1 3 5, 4 0 3] maticou B = [2 5, 3 1, 0 2]","answers":["X = [11 18, 8 26]","X = [12 2, 11 18, 8 26, 5 4]","ned\u00e1 sa ich vyn\u00e1sobi\u0165 v takomto porad\u00ed","X = [12 25, 11 18, 8 26]"],"correct":"X = [12 25, 11 18, 8 26]","order":"6"},{"question":"M\u00e1me matice A = [2 3 1, 0 4 5], B = [4, 6, 0], C = [-1 4], D = [2 1, 1 3]. Vyn\u00e1sobte ich v tomto porad\u00ed A*B*C*D","answers":["X = [52 286, 48 264]","ned\u00e1 sa ich vyn\u00e1sobi\u0165 v takomto porad\u00ed","X = [52 286, 48 264, 63 421]","X = [52 286]"],"correct":"X = [52 286, 48 264]","order":"7"},{"question":"Ak\u00fa maticu dostaneme, ak vyn\u00e1sob\u00edme maticu A = [1 3 -4, -2 5 -3, 6 -8 2] maticou B[2 3 7, 2 3 7, 2 3 7]?","answers":["jednotkov\u00e1","obd\u013a\u017enikov\u00e1","nulov\u00e1","ned\u00e1 sa ich vyn\u00e1sobi\u0165 v takomto porad\u00ed"],"correct":"nulov\u00e1","order":"8"},{"question":"Ak\u00e1 je inverzn\u00e1 matica k matici A = [3 -4 5, 2 -3 1, 3 -5 -1]?","answers":["X = [-8 29 -11, -5 18 -7]","neexistuje","X = [-8 29 -11, 1 -3 1]","X = [-8 29 -11, -5 18 -7, 1 -3 1]"],"correct":"X = [-8 29 -11, -5 18 -7, 1 -3 1]","order":"9"},{"question":"Ak s\u010d\u00edtame maticu A[1,3]<\/SUB> s maticou B[3,1]<\/SUB> dostaneme maticu C[m,n]<\/SUB>. Ak\u00e9 hodnoty madob\u00fadaj\u00fa \"m\" a \"n\"?","answers":["m = 1, n = 3","m = 3, n =3","tak\u00e9 matice sa nedaj\u00fa s\u010d\u00edta\u0165","m = 3, n = 1"],"correct":"tak\u00e9 matice sa nedaj\u00fa s\u010d\u00edta\u0165","order":"10"}]