point x x JCZ C Find a basis of the subspace of R consisiting of all

point x x JCZ C Find a basis of the subspace of

C Find a basis of the subspace of R consisiting of all vectors of the form ZXZ

point x x JCZ C Find a basis of the

subspace of R consisiting of all vectors of the form ZXZ

point x x JCZ C Find a basis

point x x JCZ

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Hi! Help is needed for those questions, I am stuck for those following numbers. Thank you!
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(1 point)
x1
—5x1 + JCZ —7)C1 + 5152
Find a basis of the subspace of [R4 consisiting of all vectors of the form 4351 + ZXZ
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1 point Find a basis of the subspace of R4 defined by the equation —4x — 3x + 6x — 8x = 0.
1 2 3 4
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(1 point) Find a set of vectors {u, v} in [R4 that spans the solution set of the equations: II
o x—y+2z+4w
x+2y+z+2w II
o
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(1 point)
4 9 5 LetA =
2-9 -7 Define the linear transformation T : [R3 —> R2 as T(x) = Ax. 4 a
-1 I) Find the images of u = and v = under T .
-2 c T(u) T(V)
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(1 point) If T : [R2 —> [R3 is a linear transformation such that 19 17
3 17 4 -19
T = and T = .
4 -3
18 -1 then the standard matrix of T is A =

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