Linear Algebra

Linear Algebra Preparation Resources for GATE CSE

July 29, 2015 by Arjun Suresh 7 Comments

Materials for GATE preparation in Linear Algebra

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GATE Overflow
Aptitude Overflow

Suppose that a machine has 42-bit virtual addresses and 32-bit physical addresses. {a} How much RAM can the machine support (each byte of RAM must be addressable)? {b} What is the largest virtual address space that can be supported for a process? {c} If pages are 2 KB, how many entries must be in a single-level page table? {d} If pages are 2 KB and we have a two-level page table where the first level is indexed by 15- bits, then how many entries does the first-level page table have? {e} With the same setup as part {d}, how many… [...]

Answered: Autometa | PDA

The logic given is for the Language a^n b^m c^k where m+k = 2n. This can be done using a single stack. And a^n b^n c^n is a subset of this Language. Now we can say a Language is accepted by a PDA when the PDA accepts all the strings generated by the Language and rejects strings which are not part of the Language set. The logic which you are talking about will surely accept all the strings of type a^n b^n c^n but it can also accept strings like “aabbbc” which should have been rejected. So that is why we can’t… [...]

Answered: Kenneth Rosen Edition 7 Exercise 1.6 Question 31 (Page No. 80)

define the following proposition as r: it is raining. u:Yvette has her umbrella. w:Yvette get wet. so from first statement we will get c1 as ~r v u from second statement c2 as ~u v ~w. from third statement c3 as r v ~w c4: from c1 and c2 - ~r v ~w from c3 and c4 - ~w v ~w which is equal to ~w and that is conclusion Yvette does not get wet. [...]

Answered: How many distinct passwords are possible?

Ans – (C) 40560 Choices of numbers = 10 Choices of uppercase letters = 26 Choices of lowercase letters = 26 There are three characters in a password, one from each category. If the positions were fixed, number of passwords possible = 10 * 26 * 26 = 6760 Accounting for changes in position, no of passwords possible = 3! * 6760 = 40560 [...]

Provided by teacher, topic -arguments

Show that: (r → ~ q, r ∪ S, S → ~ q, p → q) ↔ ~ p are inconsistent. [...]

Which one is right ? what will be the right answer assigning 0 to the left edges or right?

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