Download OU (Osmania University) B.Sc Computer Science 5th Sem Linear Algebra Important Question Bank For 2021 Exam

**Question Bank**

**Linear Algebra**

**Unit-1**

1.Definition of:

a.Vector Space

b.Subspace

c.Linear Span

d.Linear Combination

e.Linear Integral

f.Linear Dependance

g.Null Space

h.Column Space

i.Linear Transformation

2.Theorems on necessary and sufficient condition of subspace and

problems.

3. Algebra of subspace

4. If S is subset of vector space V(F) then P.T.

i. S is Subspace of V =>L(S)=S

ii. L(L(s))=L(s)

5. If S,T are subset of Vector space V(F) then

i.S T =>L(S) L(T)

ii.L(S) = L(S)+L(T)

6.Basis Extension theorem and problems.

7.Problems on Linear Transformation.

8.Let u,v be two vVector Space andT:uV is L>T then range set R(T) and

Null space N(T) is a Subspace of U(F)

9. Rank Nullity theorem and dimensions theorems.

10.Practical problems.

**Unit-2**

1.All theorems in Rank

2.Problems in Change of basis,Eigen value and Eigen vector and

Characteristic equation.

**Unit-3**

1.Theorems and problems in Diagonalization.

2. An nXn matrix with n-distict eigen values is diagonalizable.

3.Problems in Complex Eigen value and application of Differential equation

problems.

4.Definition of:

a.Orthogonal vector

b.Orthonormal vector

c.Inner product space

d.Length of a vector

e.Unit vector

5.Problems in Inner product space and Orthogonality.

6.All Inequality theorems.

7.Practical problems.

8.If S={1,... .} is an orthogonal set of non-zero vectors in then S is

linear independent and hence, is a basis for the subspace spanned by S.

This post was last modified on 23 January 2021