Please help. This problem involves finding a specific matrix that spans a plane. I only need part c. Thank you. Suppose that a 3x3 matrix A has three columns C1, C2, C3 which span the planegiven by x + 2y – 5z = 0. Given the column vector (1, 1, 1)² and v = (x, Y, z)*a) is the system Av = b consistent?b) How many pivots does the matrix A have?c) Find a specific matrix A whose columns span the plane x + 2y – 5z = 0.

Answered: c) Find a specific matrix A whose…

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c) Find a specific matrix A whose columns span the plane x + 2y – 5z = 0.

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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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

Please help. This problem involves finding a specific matrix that spans a plane. I only need part c. Thank you.

Suppose that a 3x3 matrix A has three columns C1, C2, C3 which span the plane
given by x + 2y – 5z = 0. Given the column vector (1, 1, 1)² and v = (x, Y, z)*
a) is the system Av = b consistent?
b) How many pivots does the matrix A have?
c) Find a specific matrix A whose columns span the plane x + 2y – 5z = 0.

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