INTRODUÇÃO AO ESTUDO DE MATRIZES 01

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O que são matrizes • Uma matriz nada mais é do que dados organizados em uma tabela. Isso facilita a organização e interpretação dos dados. De uma maneira mais geral, podemos definir uma matriz da seguinte forma: • Denomina-se matriz m x n (lê-se m por n) uma tabela retangular formada por m x n números reais, dispostos em m linhas e n colunas. • Representação • Existem duas formas de se representar uma matriz: explicitamente e implicitamente. Essas duas representações podem ser usadas separadamente ou em conjunto, dependendo do contexto. Assim, as representações seriam: • Tipos de matrizes • Muitas são as possibilidades de existir um determinado tipo de matriz, pois o tamanho dela depende da quantidade de linhas e da quantidade de colunas. Dessa forma, vamos conhecer alguns desses tipos especiais de matriz • Matriz linha • Matriz coluna • Matriz quadrada • Matriz diagonal • Matriz nula • Matriz identidade • Matriz oposta • Matriz transposta: Na prática, a transposta de A é obtida trocando, de uma forma ordenada, suas linhas pelas colunas. • Matriz inversa • Operações entre matrizes • Adição de matrizes • Subtração de matrizes • Multiplicação de um número real por uma matriz • Multiplicação de matrizes • O que são equações matriciais: De um modo geral, quando pensamos em equações nos vem à mente “encontrar o valor da incógnita x“. Mas e quando nos deparamos com uma equação que envolve matrizes? A ideia é a mesma, porém o que precisamos encontrar é uma matriz incógnita e não mais apenas um valor numérico 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