MATH-241 Lecture Notes - Lecture 6: Diagonal Matrix, List Of Forgotten Realms Nations, Row And Column Vectors

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A matrix is a rectangular array of numbers. (column matrix) (cid:2)1 1 0 1(cid:3) (row matrix) a11 a12 a21 a22 am1 am2 a1n a2n amn. An m n matrix has m rows and n columns. Columns of a are denoted as: ~a1, ~a2, . Rows of a are denoted as: ~a1, ~a2, . For any matrix a, aij is the entry in row i and column j. Special matrices: square matrix: a matrix with the same number of row and columns, an n n matrix, diagonal matrix: a square matrix where every entry o the diagonal is 0. 0 0 3: scalar matrix: a diagonal matrix where all entries on the diagonal are equal. 0 0 4: identity matrix: a square matrix where aii = 1 for 1 i n is 1. 0 0 1: zero matrix: the matrix where all entries are 0.

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