Engineering Mathematics(Matrics) Flashcards
horizontal lines of entries
Rows
vertical lines of entries
Columns
the location of each element (e.g. a 23 means that an entry is located at second row third
column or Row 2 and Column 3)
Indices
row x column. Row come always first! (m x n)
Size
matrices having just a single row or column, the elements of a vector are called
components (denoted by bolded lower case letter
Vector Matrix
when m = n, then its diagonal is called main diagonal
Square Matrix
a matrix that is not a square
Rectangular Matrix
what are matrices whose transpose equals the matrix itself
Symmetric Matrices
what are matrices whose transpose equals the negative of its elements
Skew Matrices
are square matrices that can have nonzero entries only on and above the main
diagonal.
Upper Triangular
can have nonzero entries only on and below the main diagonal
Lower Triangular
what are square matrices that can have nonzero entries only on the main diagonal
Diagonal Matrices
all diagonal elements of a diagonal matrix are equal
Scalar Matrices
all elements on the main diagonal are all 1 (also called identity matrix) and the rest of
the elements are zero
Unit Matrix
all elements on the main diagonal are all 1 (also called identity matrix) and the rest of
the elements are zero
Unit Matrix