**Find all x in R that are mapped into the zero vector by the transformation x…**

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## Question “Find all x in R that are mapped into the zero vector by the transformation x…”

Find all x in R that are mapped into the zero vector by the transformation x Ax for the given matrix A. 111 13 A 0 1-4 4 4 -16 28-36 Select the correct choice below and fill in the answer box(es) to complete your choice. O A. There is only one vector, which is x- + X 3

## Answer

Let A = [1-0 4-56 11 – 4 28–13 4–36] We need to find x= [x_1_0_0] rightarrow R_3-4 R_1 leftarrow R_1+5 R_2 rightarrowR_3-4 R_3] from this form Ax = 0, we can write [1_0_0_0 1–9 0–4 0–7 4–0 7 4–0] = [0:00_0] implies that x_3+7 x_4 + 9 x_3 = 0_4 = 1x_3 = 0(1) x_3+4 = x_3 = 0_3 = x_3 3 x_3 = x_3 = x_3 = x_3 = 0_4 = 1 x_3 = x_3 = x_3 = x_3 = 0_3 = 0(2)

## Conclusion

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