8.2 A number of matrices are defined as 4 57 2 4 3 7 [B] 1 2 6 20 4 [A] = (C)= 56 543 --[3] [2 [D] = [F] 15 6 [E] 7 1 3 40 6 175 = [²94] LGJ=18 6 41 7 (a) What are the dimensions of the matrices? (b) Identify the square, column, and row matrices. (c) What are the values of the elements: a2, b, d, e, $12-812?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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8.2 A number of matrices are defined as
4 5
4 3 77
[]
2 [B] 1 2 6
6
204
[A] =
(C)=
15 6
[E]= 7 1 3
406
[F]
[D] =
4
[2133]
5
=[²] LGJ=18 6 41
(a) What are the dimensions of the matrices?
(b) Identify the square, column, and row matrices.
(c) What are the values of the elements: a12, b23, 32, e
f12-812?
(d) Perform the following operations:
1.7 x [B]
2. [1]x [B], where [/] is an identity matrix of same dimension as [B]
3. [E]T x [E], where superscript T means transpose matrix.
Transcribed Image Text:8.2 A number of matrices are defined as 4 5 4 3 77 [] 2 [B] 1 2 6 6 204 [A] = (C)= 15 6 [E]= 7 1 3 406 [F] [D] = 4 [2133] 5 =[²] LGJ=18 6 41 (a) What are the dimensions of the matrices? (b) Identify the square, column, and row matrices. (c) What are the values of the elements: a12, b23, 32, e f12-812? (d) Perform the following operations: 1.7 x [B] 2. [1]x [B], where [/] is an identity matrix of same dimension as [B] 3. [E]T x [E], where superscript T means transpose matrix.
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