MA8352 LAPDE Important Questions

Anna University Regulation 2017 ECE MA8352 LAPDE Important Questions with Answer Key and ECE 3rd Sem MA8352 LINEAR ALGEBRA AND PARTIAL DIFFERENTIAL EQUATIONS Engineering Answer Key is listed down for students to make perfect utilization and score maximum marks with our study materials.

MA 8352 -LINEAR ALGEBRA AND PARTIAL DIFFERENTIAL EQUATIONS

1.Define Vector Space
2.Define Subspace of a vector space
3. State the necessary and sufficient condition for a subset of a vector space to be subspace
4.Do the polynomials ?3− 2?2 + 1, 4?2− ? + 3 and 3? − 2 generate ?3(?)? Justify your answer.
5.Is {(1,4,−6), (1,5,8), (2,1,1), (0,1,0)} is a linearly independent subset of ?3? Justify your answer
6.The vectors ?1 = (2,−3,1), ?2 = (1,4,−2), ?3 = (−8,12,−4), ?4 = (1,37,−17)and ?5 = (−3,−5,8) generate ?3. Find a subset of the set {?1, ?2, ?3, ?4, ?5} that is a basis for ?3

7.Let ? and ? be distinct vectors of a vector space ?. Show that if {?, ?} is a basis for ?and ? and ? are non-zero scalars, then both {? + ?, ??} and {??, ??} are also bases for ?.
8.Write the vectors ? = (1,−2,5) as a linear combination of the vectors ? =(1,1,1), ? = (1,2,3) and ? = (2,−1,1)
9.Show that the set of all polynomials in one variable over a field F of degree less than or equal to n is a subspace of the vector space of all polynomials over F
10.Determine whether the set W={(?1,?2,?3)??3:?1+2?2-3?3=1}is a subspace of ?3 under the operations of addition and scalar multiplication.

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MA8352 LAPDE Important Questions

Anna University 3rd Sem ECE LAPDE Important Questions