8.2 A number of matrices are defined as [4 3 7] 127 2 04. [47] [A] = 1 2 5 6] [B] = =

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 53PS
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8.2 A number of matrices are defined as
[4 3 7]
1
27
0 4
[A] =
[47]
[9
3 -6
(9-{} P-41]
= 2
7 5
[F]:
[B] =
[158]
[E] = 723
[4 0 6]
[301]
1 7 3
[D]
=
[G] = [764]
Answer the following questions regarding these matrices:
(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, d32, €22,
(1) [E] + [B]
(4) 7 × [B]
(7) [B] × [A]
(10) [I] × [B]
$12, 812?
(d) Perform the following operations:
(2) [A] + [F]
(5) {C}T
(8) [D]¹
(11) [E]¹ × [E]
(3) [B] - [E]
(6) [E] × [B]
(9) [A] × {C}
(12) {C} x {C}
Transcribed Image Text:8.2 A number of matrices are defined as [4 3 7] 1 27 0 4 [A] = [47] [9 3 -6 (9-{} P-41] = 2 7 5 [F]: [B] = [158] [E] = 723 [4 0 6] [301] 1 7 3 [D] = [G] = [764] Answer the following questions regarding these matrices: (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, d32, €22, (1) [E] + [B] (4) 7 × [B] (7) [B] × [A] (10) [I] × [B] $12, 812? (d) Perform the following operations: (2) [A] + [F] (5) {C}T (8) [D]¹ (11) [E]¹ × [E] (3) [B] - [E] (6) [E] × [B] (9) [A] × {C} (12) {C} x {C}
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