EN010 101 ENGINEERING MATHEMATICS – I
Credits: 5
Teaching Scheme
2 hour
lecture and 1 hour tutorial per week
MODULE I (18 hours) - MATRIX
Elementary transformation – echelon form – rank using elementary
transformation by reducing in to echelon
form – solution of linear homogeneous and non – homogeneous
equations using elementary transformation.
Linear dependence and independence of vectors – eigen values and
eigen vectors – properties of eigen values
and eigen vectors(proof not expected) – Linear transformation –
Orthogonal transformation –
Diagonalisation – Reduction of quadratic form into sum of squares
using orthogonal transformation – Rank,
index, signature of quadratic form – nature of quadratic form