MAT 202 TEST PAPER 2025/2026 QUESTIONS WITH
ANSWERS TAGGED A+
✔✔Minor - ✔✔Determinant of a smaller matrix formed by deleting rows/columns.
✔✔Triangular Matrix - ✔✔Matrix where all entries below or above main diagonal are
zero.
✔✔Rank of a Matrix - ✔✔Dimension of the vector space generated by its rows or
columns.
✔✔Nullity of a Matrix - ✔✔Dimension of the kernel of the matrix.
✔✔Vector Space - ✔✔Set of vectors closed under addition and scalar multiplication.
✔✔Linearly Independent - ✔✔Set of vectors where no vector can be expressed as a
combination.
✔✔Linearly Dependent - ✔✔Set of vectors where at least one vector is a combination of
others.
✔✔Basis of a Vector Space - ✔✔Set of linearly independent vectors that span the
space.
✔✔Span of Vectors - ✔✔All possible linear combinations of a set of vectors.
✔✔Eigenvalue - ✔✔Scalar associated with a linear transformation represented by a
matrix.
✔✔Eigenvector - ✔✔Non-zero vector that changes only by a scalar factor during
transformation.
✔✔Diagonalizable Matrix - ✔✔Matrix that can be expressed as PDP⁻¹, where D is
diagonal.
✔✔Orthogonal Matrix - ✔✔Matrix whose rows and columns are orthogonal unit vectors.
✔✔Inner Product - ✔✔Generalization of dot product for defining angles and lengths.
✔✔Linear Transformation - ✔✔Mapping between vector spaces preserving vector
addition and scalar multiplication.
✔✔Transition Matrix - ✔✔Matrix converting coordinates from one basis to another.
ANSWERS TAGGED A+
✔✔Minor - ✔✔Determinant of a smaller matrix formed by deleting rows/columns.
✔✔Triangular Matrix - ✔✔Matrix where all entries below or above main diagonal are
zero.
✔✔Rank of a Matrix - ✔✔Dimension of the vector space generated by its rows or
columns.
✔✔Nullity of a Matrix - ✔✔Dimension of the kernel of the matrix.
✔✔Vector Space - ✔✔Set of vectors closed under addition and scalar multiplication.
✔✔Linearly Independent - ✔✔Set of vectors where no vector can be expressed as a
combination.
✔✔Linearly Dependent - ✔✔Set of vectors where at least one vector is a combination of
others.
✔✔Basis of a Vector Space - ✔✔Set of linearly independent vectors that span the
space.
✔✔Span of Vectors - ✔✔All possible linear combinations of a set of vectors.
✔✔Eigenvalue - ✔✔Scalar associated with a linear transformation represented by a
matrix.
✔✔Eigenvector - ✔✔Non-zero vector that changes only by a scalar factor during
transformation.
✔✔Diagonalizable Matrix - ✔✔Matrix that can be expressed as PDP⁻¹, where D is
diagonal.
✔✔Orthogonal Matrix - ✔✔Matrix whose rows and columns are orthogonal unit vectors.
✔✔Inner Product - ✔✔Generalization of dot product for defining angles and lengths.
✔✔Linear Transformation - ✔✔Mapping between vector spaces preserving vector
addition and scalar multiplication.
✔✔Transition Matrix - ✔✔Matrix converting coordinates from one basis to another.
