#### Linear Algebra Exam MCQs || Linear Algebra Quiz.3

Linear Algebra Exam MCQs. All MCQs are in pdf form. These MCQs will help you in preparation of your final exam . Therefore, solve these MCQs carefully. All MCQs are according to paper pattern. After solving these MCQs you will get remarkable grade in your class. If you are interested to solve more Quiz then go to Sequence MCQs, Discrete Distribution MCQs, Mechanic’s Exam MCQs.

Here, you can find all important MCQs of MSc and BS(Hons) . After solving these MCQs you will be able to pass your interview for job as well as for university admission. The subject of linear algebra is linear combinations. That is, creating new columns and arrays of numbers by performing arithmetic on columns of numbers called vectors and arrays of numbers called matrices. Linear algebra is the study of lines and planes, vector spaces, and mappings, all of which are necessary for linear transformations.

### Linear Algebra Final Exam MCQs

Linear Algebra MCQs With Correct Answers

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1. Let S be a subset of a 3-dimensional vector space V(F) consisting of five vectors then

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2. Let V be n-dimensional vector space and T be a linear transformation from V onto itself then nullity of T is

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3. Let T: V → U, G: V → U, and H: U → W be linear transformations over a field F then

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4. Let S be a linearly independent subset of a 5-dimensional vector space V(F) then

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5. The dimension of subspace { (x, mx)} | x ∈ R } of R² for a fixed m over the real field is

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6. Let φ: V → R⁵ be a linear transformation. If φ is 1-1 and onto then dim V =

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7. Let T be a linear transformation from Rⁿ to Rⁱ and let u = T(0) where 0 is the zero vector in Rⁿ choose the correct statement

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8. Let V be n-dimensional vector space and T be a linear transformation from V onto itself then rank of T is

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9. Let φ: V → R⁵ be a linear transformation. If φ is onto and dim(Ker) = 2 , then dim V =

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10. Let { v₁,v₂,.....,vₙ } be a set of independent vectors in vector space V(F). Then

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11. Let T: V → U be a linear transformation. Suppose that V is finite-dimensional and dim V = dim U. Then T is ......if and only if the kernel of T contains only zero vector of V

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12. Which of the following is not a linear transformation?

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13. L(x) = |x| is a linear transformation

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14. Let T : P₃ → P₃ be a linear transformation defined by L(at³+bt²+ct+d) = (a-b)t³+(c-d)t , then nullity of T is

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15. Let W be a subspace of an  n-dimensional vector space V, then