Mathematics Homework Solutions

Sylow p-subgroups.

Abstract algebra (Group Theory) Centre of a group Sylow 11-subgroup Sylow 7-subgroups ...continues

Algebra : Simplify

Simplify y2 /X2 - 4y2 + y/2x + 4y When I have 2 after the y and the x it means squared. These are fractions, in case it is not clear.

Algebra : Solving for X

1/X - X+1/8 = X - 1/4X . These are fractions.

Mathematical Induction : Sum of Square Series

Prove that 1+4+9+...+n^2=n(n+1)(2n+1)/6 by mathematical induction

Let T be a linear map on R^2 defined by T(x,y) = (4x – 2y, 2x + y). Calculate the matrix of T relative to the basis {α1,α2} where α1 = (1,1) , α2 = (-1,0).

Linear Algebra Matrix of the Linear Map Basis of the Linear Space Let T be a linear map on R^2 defined by T(x,y) = (4x – 2y, 2x + y). Calcu ...continues

Linear Algebra: Show that the vectors u1 = (1,2,3), u2 = (0,1,2), u3 = (2,0,1) generate R3(R).

Vector Space and Subspaces Euclidian 3-space Problem:- Show that the vectors u1 = (1,2,3), u2 = (0,1,2), u3 = (2,0,1) generate R3(R). ...continues

Expanded Notation

Write in expanded notations, 26,859

Addition

135,484 2,376 81,004 +100,113 __________________

Evaluate

2 with a little 6 over it.

Evaluate

2 with a little 3 over it+ 4 with a little 3 over it + 18 divded by 3

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