Linear Algebra mcqs – Linear mapping, normed space, vector space

Linear algebra mcqs for online exams and interview viva. In this Test we can cover following topics linear mapping, inner product space, vector space, matrices and normed spaces.

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Linear Algebra MCQ Questions

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Suppose S is an orthogonal set of non-zero vectors. then S is _____.

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Foe any vector u and v in an inner product space V, |<u,v>|=

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Let V be an inner product linear space, then u,v in V are said to be orthogonal and u is said to be orthogonal to v if <u,v>= ____

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Foe any vector [F]s.s' [v]s = ____

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Let A be the matrix representation of a linear operator, then T is diagonalizable iff there exists an ___ matrix.

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Let F be a linear operator on a finite-dimension vector space V, then the result is equivalent. F is non-singular kerF=____

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Let F be a linear operator on a fonite-dimension vector space V, then the result is equivalent......

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Let F be a linear operator on a finite-dimension vector space V, then the result is equivalent.....

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If a linear mapping F: V → U is one-to-one and onto then inverse of mapping is

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Two matrices represent the same linear operator iff if the matrices is _______.

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L F: V → U be a linear mapping, then nullity (F)=_____

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Let V be of finite dimension, and let F: V → U be linear, then dim(V)=_______.

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Let F: V → U be a non-singular linear mapping, then the image of any linear independent set is _______

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Suppose dim V =m and dim U =n. then dim[Hom(V,U)]=

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Let F: V → U be a linear mapping, then rank of F defined as rank(F)=_____

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Let F:V → U be a linear mapping. then the kernel is _____ of V.

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Let F:V → U be a linear mapping. then the image of F is _____ of U.

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Suppose v, v ,..., vm span a vector space V, and suppose F:V→ U is linear mapping, then F(v1), F(v2), ..., F(v_m) span ___

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Let A be any m × n matrix over a field K viewed as a linear map F: K→ Km then ker A=____

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Let A be any m × n matrix over a field K viewed as a linear map F: K→ Km then Im A=____

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