s0ulr3aper07

 6 How is the relation “the smallest element is the same” reflexive? 3 What is the difference between the basis of a vector space and the basis of the kernel? 3 Question about integral of an odd function 3 Solutions verification and hints for a combinatorics exercises 3 Determining whether a system is consistent or inconsistent from the linear dependence of its columns

### Reputation (855)

 +10 Let $V$ be the vector space of all $4$x$4$ matrices such that the sum of the elements in any row or any column is the same. +2 Find the total number of solution of the equation +45 What is the difference between the basis of a vector space and the basis of the kernel? +10 Prove that if $\mathcal{N}(A) \subseteq \mathcal{N}(B)$ then $\mathcal{R}(B^\intercal) \subseteq \mathcal{R}(A^\intercal)$

### Questions (26)

 3 Simplifying an infinite sum 2 Probability question regarding expectation (Sheldon Ross' book) 2 Doubt regarding the maximin value in this question 2 Evaluate definite integral using limit of a sum definition 2 Determine all $2 \times 2$ real matrices $A$ such that $(1) \ \ A^2=I$, $(2) \ \ A^2=0$

### Tags (43)

 10 discrete-mathematics × 4 6 elementary-set-theory 9 linear-algebra × 13 5 combinatorics × 5 8 probability × 15 4 calculus × 6 6 relations × 2 4 matrices × 5 6 equivalence-relations 3 bayes-theorem × 4

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