2. We wish to solve the for the unknowns x, y, and z in the following system of linear equations: 2х — Зу — 5z — 1 -3x + 4y – 2z = 2 -5x – 2y + 3z = 3 2.1. Write this system of equations as a matrix equation: [Equation 9] [Equation 10] To write this matrix equations in a more compact notation, let A denote the 3 by 3 matrix of coefficients, let x denote the 3 by 1 matrix (vector) of unknown variables, and let b denote the 3 by 1 matrix (vector) of constants.

2. We wish to solve the for the unknowns x, y, and z in the following system of linear equations: 2х — Зу — 5z — 1 -3x + 4y – 2z = 2 -5x – 2y + 3z = 3 2.1. Write this system of equations as a matrix equation: [Equation 9] [Equation 10] To write this matrix equations in a more compact notation, let A denote the 3 by 3 matrix of coefficients, let x denote the 3 by 1 matrix (vector) of unknown variables, and let b denote the 3 by 1 matrix (vector) of constants.

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

7. In step 2, you solved for the unknowns x, y, and z in Eq. 9. After entering matrices A
and b, you calculated the inverse matrix A-1. Then, you multiplied A- and b to find
the unknowns. Can you make this process more efficient by using a single “nested"
Excel command? Write this command exactly as you would type it into Excel:
|

2. We wish to solve the for the unknowns x, y, and z in the following system of linear
equations:
2х — Зу — 5z — 1
-3x + 4y – 2z = 2
-5x – 2y + 3z = 3
2.1. Write this system of equations as a matrix equation:
[Equation 9]
[Equation 10]
To write this matrix equations in a more compact notation, let A denote the 3 by
3 matrix of coefficients, let x denote the 3 by 1 matrix (vector) of unknown
variables, and let b denote the 3 by 1 matrix (vector) of constants.

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