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given a vector w the inner product of rn is defined byltxygtsummation from i1 to n xiyiwia using this equation with
the points on a plane a-32 and b15-3 are included in a parallel right to another one which crosses point at p-2-4finda
1 factor the following polynomial y 3x4 - 22x3 31x2 40x -162 find the real solutions of y x3 8x2 1 lx - 203 solve
please help with the following problem that involves systems of linear equationsa cookie company makes three kinds of
the two images below shows one of our attempts to come up with the rotation angle required i believe that it does not
if x is a nonempty subset of a group glet ltxgtx1k1x2k2xmkmmgt1 xiex and kiez for each ia show that ltxgt is a subgroup
1 determine whether each of the following is a function or nota fx 1 if xgt1 0 otherwiseb fx 2 if xgt0 -2 if xlt0 2
consider vector space c01 with scalar product for any two functions fx gxfgintegral from 0 to 1 of fxgxxdxfind the
suppose s is a linear space defined below are the following mappings l linear transformations from s into itself if
for any xx1xn let us try to define a norm two ways considera x1summation xi from i1 to nb xbsummation xi-xj from ij1 to
a certain 4x4 real matrix is known to have these properties1 two of the eigenvalues of a are l1 3 and l2 22 the number
let tn tij denote the nxn matrix such that for each index i tji a and tij b for j not to iverify that tn a-bin
find the solution if it exists to this system of linear equationsx 2y - z -43x 7y - 6z -21x 4y - 6z -17find the
consider the perturbed linear systemx a ebtx x is an element of rnwhere a is a constant matrix b is a bounded
there are hens rabbits the heads 50 the feet 134 how many hens amp how many rabbits flies spiders sum 42 heads and
linear independence of the set of vectorslinearly independentlinearly dependenta test for the linear independence of
please help me solve the following linear algebra questions involving linear transformation and matrices see
please give step by step instructions and name each step like triangular form augmented matrix etc so i know when and
the following linear trend equation was developed for the annual sales of the jordan manufacturing company y1 500 60x
find all solutions of each of the systems of congruences-a x is congruent to 1 mod 2 d 4x is congruent to 2 mod 6x is
1 many free software mathematics packages on the internet will solve a system of equations given the coefficients in
1 an augmented matrix of a linear system has been reduced by row operations to the following form continue the
1simplify -i4 answers a-1 b1 ci d-i2types of equationssolve by factoring x4 - 9x2 0 answers a1 -1 3 -3 b0 3 -3 c9 -9
1 let g be a group and let ab be two elements of g the conjugate of b by a is by definition the element the