BSc CSIT (TU) Science Mathematics II (BSc CSIT, MTH163) Question Paper 2074
This is the official BSc CSIT (TU) (Science stream) Mathematics II (BSc CSIT, MTH163) question paper for 2074, 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 2074 paper is a great way to practise under real exam conditions.
Section A: Long Answer Questions
Attempt any TWO questions.
Define rank of a matrix. Find the rank of the matrix by reducing it to echelon form, and solve a system of linear equations using the Gauss elimination method.
State and prove the Cayley-Hamilton theorem. Use it to find the inverse of a given 3x3 matrix.
Define eigenvalues and eigenvectors. Find the eigenvalues and corresponding eigenvectors of a given 3x3 matrix.
Section B: Short Answer Questions
Attempt any EIGHT questions.
Define a symmetric matrix and an orthogonal matrix with examples.
Find the rank of the matrix [[1,2,3],[2,4,6],[1,1,1]].
State the properties of determinants.
What is a null space of a matrix?
Define a basis of a vector space.
Find the eigenvalues of the matrix [[2,0],[0,3]].
Show that the vectors (1,0) and (0,1) are linearly independent.
Define adjoint of a matrix.
What is a singular matrix?