Please help. This problem involves finding the pivots of a linear system. I only need part b. 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.

Name: Please help. This problem involves finding the pivots of a linear syst
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Description: Please help. This problem involves finding the pivots of a linear system. I only need part b. 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 =

Answered: Suppose that a 3x3 matrix A has three…

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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Please help. This problem involves finding the pivots of a linear system. I only need part b. 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.

Expert Solution

Step 1

a) yes the linear system is consistent

Since the rank of coefficient matrix is same as the rank of augmented matrix which is 1.

b) there are two pivots are there

We named them as k and l.

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