(a) Write the row space and the null space of the matrix[1 2 34 5 67 8 9as a span of vectors.(b) Describe the space of solutions to the equations= 0{+ 2x2 + 3x34.x1 + 5x2 + 6x37x1 + 8x2 + 9x3as a span of vectors.(c) Compare your answers from part (a) and (b). What do you observe? Explain why.(d) Each equation in part (b) gives a plane. Describe the intersection of the 3 planes frompart (b).

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Write the row space and the null space of the matrix Г1 2 3 |4 5 6 7 8 9 as a span of vectors.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

(a) Write the row space and the null space of the matrix
[1 2 3
4 5 6
7 8 9
as a span of vectors.
(b) Describe the space of solutions to the equations
= 0
{
+ 2x2 + 3x3
4.x1 + 5x2 + 6x3
7x1 + 8x2 + 9x3
as a span of vectors.
(c) Compare your answers from part (a) and (b). What do you observe? Explain why.
(d) Each equation in part (b) gives a plane. Describe the intersection of the 3 planes from
part (b).

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