of [ $ Example 29 a If the determinant of 5-3 3 is equal to 21, what is the value of x?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Example 29 a
b
5 -3
of [] is equal to 21, what is the value of x?
2 3
x -4
what is the value of x for which A-A?
c Show that if A and B are both square matrices and A + B is defined, then A B + A¹ is defined.
Example 30
Given that A=
If the determinant of
For the matrix A=
= [2²5] ² and that.
at B=[2₂3].
The determinant of 4-1 and the determinant of B=2. Show that the value ofis 6.
23 | Page
Transcribed Image Text:Example 29 a b 5 -3 of [] is equal to 21, what is the value of x? 2 3 x -4 what is the value of x for which A-A? c Show that if A and B are both square matrices and A + B is defined, then A B + A¹ is defined. Example 30 Given that A= If the determinant of For the matrix A= = [2²5] ² and that. at B=[2₂3]. The determinant of 4-1 and the determinant of B=2. Show that the value ofis 6. 23 | Page
7 The prices of small, medium and large dogs at a pet shop are to decrease by 2%, 5% and 8% respectively
If current prices are in matrix format P =
prices, then the new prices would be
0.02
A. M-P where M = 0.05
0.08
0.98
B. M-P where M = 0.95
0.08
C. MP where M=
D. MP where M=
E.
MP where M =
0.02 0 0
0 0.05 0
0
If =
0 0.08
0.98 0 0
0 0.95 0
0
0
0
0 0.92
-0.02 0 0
-0.05 0
0 -0.08
A-28-31
and B=
6
, where s, m and / represent small, medium and large dog
then the matrix AB =
-
30 96
24 48
The element '24' in the matrix AB is correctly obtained by calculating
A.
4x6+2x0
B.
4 x 3 +2×x 6
C. 3 x 4 + 12 x 1
D. 4 × 2 + 8×2
E. 8x3+1×0
20 | Page
Transcribed Image Text:7 The prices of small, medium and large dogs at a pet shop are to decrease by 2%, 5% and 8% respectively If current prices are in matrix format P = prices, then the new prices would be 0.02 A. M-P where M = 0.05 0.08 0.98 B. M-P where M = 0.95 0.08 C. MP where M= D. MP where M= E. MP where M = 0.02 0 0 0 0.05 0 0 If = 0 0.08 0.98 0 0 0 0.95 0 0 0 0 0 0.92 -0.02 0 0 -0.05 0 0 -0.08 A-28-31 and B= 6 , where s, m and / represent small, medium and large dog then the matrix AB = - 30 96 24 48 The element '24' in the matrix AB is correctly obtained by calculating A. 4x6+2x0 B. 4 x 3 +2×x 6 C. 3 x 4 + 12 x 1 D. 4 × 2 + 8×2 E. 8x3+1×0 20 | Page
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