Download OU B.Sc 2018 Dec 3rd Year 3185 Maths Linear Algebra Question Paper

Time : 3 Hours

1. Given a matrix A = 4 7 2 -4 Then find the rank of A and dim Null A.
2. If B = -1 1 1 6 and p = 1 5 8 10 then find the coordinate vector relative to f.

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3. Let W be the set of all vectors of the form (a - 3b, b - a, a, b), where a and b are scalars. Show that W is a Subspace of R⁴.
4. Suppose v₁ = 1 0 -1, v₂ = 0 1 1 and v₃ = 1 1 0 are the vectors in R³. Then show that {v₁, v₂, v₃} is a basis for R³.
5. Let b = 1 -3, c₁ = 0 1, c₂ = 5 6 and consider the basis
6. Define an inner product between two vectors and write the properties of inner product.

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