Find a set of vectors that spans the subspace WCV of solutions to the following linear systems. 1. 2 *1 + 2x₂ − x3 + £₁ = 0 -3x₁ — T3 + 2x4 = 0 |T₁ + 2x3 + x₁ = 0 A

Please do it by using matrix. Thank you!

Find the general solution of the simple homogeneous "system" below, which consists of a single linear equation. Give your answer as a linear combination of vectors. Let x2 and x3 be free variables. 4x1-16x₂ + 12x3 = 0 X₁ X2 =x₂ “EHOHO X3 (with X2, X3 free) O A. O C. X₁ X2 =X₂ 4 0 1 X3 (with X2, X3 free) + X3 - 3 0 C X₂ THI X2 1 = x₂ +X3 0 0 X3 (with X₂, X3 free) O B. O D. X₁ X2 X₁ = 4 X2 +3 X₂ X3 X3 X3 (with X2, X3 free) -3 X₁ 1

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I’m not sure if that’s correct or not can you make sure for me

Follow the method of Examples 1 and 2 to write the solution set of the given homogeneous system in parametric vector form.

please answer this. make sure i can read

It is a basis for the S Solution space of the system

Find the general solution of the simple homogeneous "system" below, which consists of a single linear equation. Give your answer as a linear combination of vectors. Let x2 and x3 be free variables. 2x1 - 8x2 + 6x3 = 0 O x2 = X₂ 0 + X3 1 (with X2, X3 free) Ox1 x2 = 4x2 x3 Ox1 x2 = X2 1 0 x3 x1 +3x2 (with x2, X3 free) x3 -3 A 1 + X3 0 (with X2, X3 free) 640-8 x2 FX2 1 + X30 (with X2, X3 free)

Find a basis for the solution space of the given homogeneous linear system. 9x3 5x4 X₁ - 3x₂ - 2X1 3x2 12x3- X4 = 0 = X₁ + 2x₂ + X3 + 10x4 0 - = 0 =