Textbook Guide Mathematics: Coordinate Vector, Augmented Matrix, Linear Combination
Document Summary
Two main topics that help us solve equation systems: Matrix (cid:1827) defined by (cid:1865) rows and (cid:1866) columns has (cid:1865) (cid:1866) dimension. The entry on the (cid:1861) row and (cid:1862)th column is represented by (cid:1853)(cid:3036)(cid:3037) and is called the (cid:4666)(cid:1861),(cid:1862)(cid:4667) - entry of (cid:1827). Column (cid:1862) (cid:1827)=[ (cid:1853)(cid:2869)(cid:2869)(cid:1709)(cid:1853)(cid:3036)(cid:2869) (cid:1853)(cid:2869)(cid:3037) (cid:1853)(cid:2869)(cid:3041) (cid:1853)(cid:3040)(cid:2869) (cid:1853)(cid:3040)(cid:3037) (cid:1853)(cid:3040)(cid:3041)] (cid:1709) (cid:1709) (cid:1853)(cid:3036)(cid:3037) (cid:1853)(cid:3036)(cid:3041) (cid:1709) (cid:1709) (cid:1709) (cid:1853)(cid:2869) (cid:1853)(cid:3037) (cid:1853)(cid:3041) (cid:1827)=[(cid:2183)(cid:2778) (cid:2183)(cid:2779) (cid:2183)] column form, we obtain: If we name the columns of the matrix by (cid:2183)(cid:2778),(cid:2183)(cid:2779), ,(cid:2183) and write the matrix in. The diagonal entries of a matrix are (cid:1853)(cid:2869)(cid:2869),(cid:1853)(cid:2870)(cid:2870),(cid:1853)(cid:2871)(cid:2871), . A diagonal matrix is a square matrix (in (cid:1866) (cid:1866) dimension) whose nondiagonal entries are zero. An example is the identity matrix whose main diagonal entries are all 1 and the other entries are all 0 . If all entries of a matrix are zero, this matrix called a zero matrix. the matrix.
