BSc CSIT (TU) Science Mathematics II (BSc CSIT, MTH163) Question Paper 2075
This is the official BSc CSIT (TU) (Science stream) Mathematics II (BSc CSIT, MTH163) question paper for 2075, as set in the regular annual examination. It carries 60 full marks and a time allowance of 180 minutes, across 12 questions. On Kekkei you can attempt this Mathematics II (BSc CSIT, MTH163) past paper online with a timer, get instant AI feedback and step-by-step solutions, and track the topics where you lose marks — completely free. Whether you are revising for your BSc CSIT (TU) Mathematics II (BSc CSIT, MTH163) exam or solving previous years' question papers, this 2075 paper is a great way to practise under real exam conditions.
Section A: Long Answer Questions
Attempt any TWO questions.
Define a vector space. State and verify the axioms of a vector space. Show that the set of all 2x2 matrices forms a vector space over the field of real numbers.
Define linear dependence and independence of vectors. Determine whether a given set of vectors is linearly independent. Find a basis and the dimension of the subspace they span.
Define a linear transformation. Show that a given mapping is a linear transformation and find its matrix representation with respect to standard bases.
Section B: Short Answer Questions
Attempt any EIGHT questions.
Define a vector space with two examples.
Find the inverse of [[1,2],[3,4]].
Define a linear transformation.
State the rank-nullity theorem.
Define an orthonormal set of vectors.
What is a characteristic equation of a matrix?
Define a subspace with an example.
Find the trace of the matrix [[1,2,3],[4,5,6],[7,8,9]].
State the Cayley-Hamilton theorem.