COLLEGE ALGEBRA
1st Edition
ISBN: 9781266065989
Author: Miller
Publisher: MCG
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Chapter R.4, Problem 36PE
(a)
To determine
To calculate: The simplified value of the expression
(b)
To determine
To calculate: The simplified value of the expression
(c)
To determine
To calculate: The simplified value of the expression
(d)
To determine
To calculate: The simplified value of the expression
(e)
To determine
To calculate: The simplified value of the expression
(f)
To determine
To calculate: The simplified value of the expression
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It is given that E4E3E2E1A=⎡⎣⎢⎢⎢−1002−40488⎤⎦⎥⎥⎥.
Here the matrices E4, E3, E2, and, E1 are:
E1=⎡⎣⎢⎢⎢100010008⎤⎦⎥⎥⎥E2=⎡⎣⎢⎢⎢100010−501⎤⎦⎥⎥⎥E3=⎡⎣⎢⎢⎢1000−10001⎤⎦⎥⎥⎥E4=⎡⎣⎢⎢⎢001010100⎤⎦⎥⎥⎥
It is given that E4E3E2E1A=⎡⎣⎢⎢⎢−1002−40488⎤⎦⎥⎥⎥.
Here the matrices E4, E3, E2, and, E1 are:
E1=⎡⎣⎢⎢⎢100010008⎤⎦⎥⎥⎥E2=⎡⎣⎢⎢⎢100010−501⎤⎦⎥⎥⎥E3=⎡⎣⎢⎢⎢1000−10001⎤⎦⎥⎥⎥E4=⎡⎣⎢⎢⎢001010100⎤⎦⎥⎥⎥
What is the determinant of A?
Use the graph of the function y = f(x) below to answer the questions.
4
3-
2+
1
-5 -4
-3
-2
-1
3
-1+
-2+
-3+
-4-
-5+
(a) Isf (3) negative?
Yes No
(b) For which value(s) of x is f(x) = 0?
If there is more than one value, separate them with commas.
(c) For which value(s) of x is f(x) ≤0?
Write your answer using interval notation.
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