Create the following matrix H: 1.25 1.5 1.75 2 2.25 2.5 2.75 H = 1 3 1 2 3 4 45 40 35 30 25 20 15 (a) Create a 2x5 matrix G such that its first row includes the first three ele- ments and the last two elements of the first row of H, and the second row of G includes the last five elements of the third row of H. (b) Create a 4 X3 matrix K such that the first, second, third, and fourth rows are the second, third, fifth and seventh columns of matrix H.

Create the following matrix H: 1.25 1.5 1.75 2 2.25 2.5 2.75 H = 1 3 1 2 3 4 45 40 35 30 25 20 15 (a) Create a 2x5 matrix G such that its first row includes the first three ele- ments and the last two elements of the first row of H, and the second row of G includes the last five elements of the third row of H. (b) Create a 4 X3 matrix K such that the first, second, third, and fourth rows are the second, third, fifth and seventh columns of matrix H.

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

Create the following matrix H:
1.25 1.5 1.75 2 2.25 2.5 2.75
H =
1
2
3 1 2 3 4
45 40 35 30 25 20 15
(a) Create a 2×5 matrix G such that its first row includes the first three ele-
ments and the last two elements of the first row of H, and the second row
of G includes the last five elements of the third row of H.
(b) Create a 4 ×3 matrix K such that the first, second, third, and fourth rows
are the second, third, fifth and seventh columns of matrix H.

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