BSc CSIT (TU) Science Mathematics II (BSc CSIT, MTH163) Question Paper 2078
This is the official BSc CSIT (TU) (Science stream) Mathematics II (BSc CSIT, MTH163) question paper for 2078, 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 2078 paper is a great way to practise under real exam conditions.
Section A: Long Answer Questions
Attempt any TWO questions.
Define inner product space. State and prove the Cauchy-Schwarz inequality.
Find the eigenvalues and eigenvectors of the given matrix and verify the Cayley-Hamilton theorem for it.
Define kernel and range of a linear transformation. State and verify the rank-nullity theorem with an example.
Section B: Short Answer Questions
Attempt any EIGHT questions.
Define the row space and column space of a matrix.
Solve x + y = 3, 2x - y = 0 using matrices.
Define the span of a set of vectors.
State the Cauchy-Schwarz inequality.
What is the geometric multiplicity of an eigenvalue?
Define a positive definite matrix.
What is the standard basis of (R^3)?
Define an idempotent matrix.
Find the norm of the vector (3, 4) in (R^2).