[{"data":1,"prerenderedAt":129},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Falgebra\u002Fmatrices-y-determinantes?{}":3,"topics-with-content:algebra":106},{"course":4,"topic":12,"counts":17,"universities":22,"channels":33,"sampleQuestions":62,"sameName":105},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},2,"algebra","Álgebra","Álg.","math","i-lucide-variable",1,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":16},217,"matrices-y-determinantes","Matrices y determinantes",16,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},12,77,59,941,[23,31],{"universityId":5,"questions":24,"years":25},11,[26,27,28,29,30],2026,2025,2024,2023,2022,{"universityId":11,"questions":11,"years":32},[27],[34,37,40,42,45,48,51,53,56,58,60],{"name":35,"classes":36},"Academia ipluton",21,{"name":38,"classes":39},"Academias Aduni y César Vallejo",17,{"name":41,"classes":24},"Alberto Cruz",{"name":43,"classes":44},"Trilce Multimedia",6,{"name":46,"classes":47},"Academia Internet",5,{"name":49,"classes":50},"Academia Grupo Ciencias",4,{"name":52,"classes":50},"CEPRE UNMSM",{"name":54,"classes":55},"Academia_Pitagoras",3,{"name":57,"classes":55},"Pamer Corporación Educativa",{"name":59,"classes":5},"Ciclo Uni-San Marcos",{"name":61,"classes":11},"Salón Sapiens",[63,88],{"id":64,"courseId":5,"topicId":13,"pastExamId":65,"stem":66,"options":67,"correctKey":69,"explanation":83,"difficulty":55,"status":84,"source":85,"stats":86},1644,198,"Sea la matriz $A=[a_{ij}]_{3\\times3}$, donde\n$a_{ij}=\\begin{cases} 0,\\ i\\leq j\\\\ 1,\\ i>j \\end{cases}$\nDetermine $A^{200}$.",[68,71,74,77,80],{"key":69,"text":70},"A","$0_{3\\times3}$ (matriz nula de orden 3×3).",{"key":72,"text":73},"B","$I_{3}$ (matriz identidad de orden 3×3).",{"key":75,"text":76},"C","$\\begin{bmatrix} 0 & 0 & 0\\\\ 1 & 0 & 0\\\\ 0 & 1 & 0 \\end{bmatrix}$",{"key":78,"text":79},"D","$\\begin{bmatrix} 0 & 0 & 0\\\\ 0 & 0 & 0\\\\ 0 & 0 & 1 \\end{bmatrix}$",{"key":81,"text":82},"E","$\\begin{bmatrix} 0 & 0 & 0\\\\ 0 & 0 & 0\\\\ 0 & 1 & 0 \\end{bmatrix}$","","published","UNI 2026-1 · Matemática",{"attempts":87,"accuracy":87},0,{"id":89,"courseId":5,"topicId":13,"pastExamId":90,"stem":91,"options":92,"correctKey":72,"explanation":83,"difficulty":55,"status":84,"source":103,"stats":104},1824,201,"Sea $A$ una matriz cuadrada. Determine el valor de verdad (V) o falsedad (F) de las siguientes proposiciones:\nI. Si $A$ es antisimétrica, entonces puede tener un elemento no nulo en su diagonal principal.\nII. La matriz $A$ puede expresarse como la suma de una matriz simétrica con una antisimétrica.\nIII. Si $A$ puede expresarse como la suma de una matriz simétrica $B$ con una antisimétrica $C$, entonces existe una matriz antisimétrica $M\\neq C$ y una matriz simétrica $N\\neq B$ tal que $A=M+N$.\nMarque la alternativa que contenga la secuencia correcta.",[93,95,97,99,101],{"key":69,"text":94},"FFF",{"key":72,"text":96},"FVF",{"key":75,"text":98},"FVV",{"key":78,"text":100},"VFF",{"key":81,"text":102},"VVF","UNI 2026-2 · Matemática",{"attempts":87,"accuracy":87},[],[90,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,13,122,123,124,125,126,127,128],202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,218,219,220,221,223,225,226,1791501527117]