Q31Comprehension2 Marks30 Apr 2023
Passage
From the list of given terms find out the best possible options for each of the given subquestions: 1) Rank 2 2) Zero nullity 3) Non-zero determinant 4) Closure with respect to addition and scalar multiplication 5) Existence of zero element 6) Existence of additive inverse 7) Commutativity of addition 8) Elements 9) Associativity of addition 10) Global maxima 11) Saddle point 12) Global Minima 13) Gradient exists 14) Directional derivative exists in any direction 15) Orthonormal columns 16) First order partial derivatives exist 17) Function is differentiable 18) Affine subspace 19) Limit exists Based on the above list, answer the given subquestions.
If the tangent plane exists for a function at a point then at that point . (Enter 5 best possible options. Enter only the serial numbers of those options in increasing order without adding any comma or space in between them.)
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