AB=As another illustration, for scalars, the equation cd ce (with cd3e. The same does not hold for matrices. Thus, givenalthough neither A nor B is itself a zero matrix.%3DD.3 2[: ]--we find thatCD = CE =15 24· even though D E.These strange results actually pertain only to the special class ofsingular matrices, of which the matrices A, B, and Care examples. (Rces contain a row. which is a multiple of another row.) Neverthelessreveal the pitfalls of unwarranted extension of algebraic theorems to r4.5Given A =0-2 4=x p1. Calculate: (a) AIIndicate the dimension of the identity matrix used in each case.(b) IA1,X (p)

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Math

Advanced Math

dimension of the identity matrix

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

AB=
As another illustration, for scalars, the equation cd ce (with c
d3e. The same does not hold for matrices. Thus, given
although neither A nor B is itself a zero matrix.
%3D
D.
3 2
[: ]--
we find that
CD = CE =
15 24
· even though D E.
These strange results actually pertain only to the special class of
singular matrices, of which the matrices A, B, and Care examples. (R
ces contain a row. which is a multiple of another row.) Nevertheless
reveal the pitfalls of unwarranted extension of algebraic theorems to r
4.5
Given A =
0-2 4
=x p
1. Calculate: (a) AI
Indicate the dimension of the identity matrix used in each case.
(b) IA
1,X (p)

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